Renormalization group explanations account for the astonishing phenomenon that microscopically very different physical systems display the same macro-behavior when undergoing phase-transitions. Among philosophers, this explanandum phenomenon is often described as the occurrence of a particular kind of multiply realized macro-behavior. In several recent publications, Robert Batterman denies that RG explanations account for this explanandum phenomenon by following the commonality strategy, i.e. by identifying properties that microscopically very different physical systems have in common. Arguing against Batterman’s claim, I defend (...) the view that RG explanations are in accord with the commonality strategy. (shrink)

One realist response to the pessimistic meta-induction distinguishes idle theoretical wheels from aspects of successful theories we can expect to persist and espouses realism about the latter. Implementing the response requires a strategy for identifying the distinguished aspects. The strategy I will call renormalization group realism has the virtue of directly engaging the gears of our best current physics—perturbative quantum field theories. I argue that the strategy, rather than disarming the skeptical possibilities evinced by the pessimistic meta-induction, forces (...) them to retreat a level. I also suggest that those skeptical possibilities continue to carry force. (shrink)

This is an introduction to renormalization group methods in quantum field theory aimed at philosophers of science. review path integral methods, the relationship between early renormalization theory and renormalization group methods, and conceptual shifts in thinking about quantum field theory spurred by the development of renormalization group methods.

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches (...) ought to be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation. (shrink)

We revisit the construction of the gravitational functional renormalization group equation tailored to the Arnowitt–Deser–Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the renormalization group flow onto the Einstein–Hilbert action are reviewed in detail and we provide a novel example illustrating how the formalism may be connected to the causal dynamical triangulations approach to quantum gravity.

Analogies between classical statistical mechanics and quantum field theory played a pivotal role in the development of renormalization group methods for application in the two theories. This paper focuses on the analogies that informed the application of RG methods in QFT by Kenneth Wilson and collaborators in the early 1970's. The central task that is accomplished is the identification and analysis of the analogical mappings employed. The conclusion is that the analogies in this case study are formal analogies, (...) and not physical analogies. That is, the analogical mappings relate elements of the models that play formally analogous roles and that have substantially different physical interpretations. Unlike other cases of the use of analogies in physics, the analogical mappings do not preserve causal structure. The conclusion that the analogies in this case are purely formal carries important implications for the interpretation of QFT, and poses challenges for philosophical accounts of analogical reasoning and arguments in defence of scientific realism. Analysis of the interpretation of the cutoffs is presented as an illustrative example of how physical disanalogies block the exportation of physical interpretations from from statistical mechanics to QFT. A final implication is that the application of RG methods in QFT supports non-causal explanations, but in a different manner than in statistical mechanics. (shrink)

Despite the close connection between the central limit theorem and renormalization group (RG) methods, the latter should be considered fundamentally distinct from the kind of probabilistic framework associated with statistical mechanics, especially the notion of averaging. The mathematics of RG is grounded in dynamical systems theory rather than probability, which raises important issues with respect to the way RG generates explanations of physical phenomena. I explore these differences and show why RG methods should be considered not just calculational (...) tools but the basis for a physical understanding of complex systems in terms of structural properties and relations. (shrink)

I analyze the role of infinite idealizations used in the renormalization group (RG hereafter) method in explaining universality across microscopically different physical systems in critical phenomena. I argue that despite the reference to infinite limit systems such as systems with infinite correlation lengths during the RG process, the key to explaining universality in critical phenomena need not involve infinite limit systems. I develop my argument by introducing what I regard as the explanatorily relevant property in RG explanations: linearization* (...) property; I then motivate and prove a proposition about the linearization* property in support of my view. As a result, infinite limit systems in RG explanations are dispensable. (shrink)

Renormalization group (RG) methods are an established strategy to explain how it is possible that microscopically different systems exhibit virtually the same macro behavior when undergoing phase-transitions. I argue – in agreement with Robert Batterman – that RG explanations are non-causal explanations. However, Batterman misidentifies the reason why RG explanations are non-causal: it is not the case that an explanation is non- causal if it ignores causal details. I propose an alternative argument, according to which RG explanations are (...) non-causal explanations because their explanatory power is due to the application mathematical operations, which do not serve the purpose of representing causal relations. (shrink)

The “sloppy models” program originated in systems biology, but has seen applications across a range of fields. Sloppy models are dependent on a large number of parameters, but highly insensitive to the vast majority of parameter combinations. Sloppy models proponents claim that the program may explain the success of science. I argue that the sloppy models program can at best provide a very partial explanation. Drawing a parallel with renormalization group realism, I argue that it would only give (...) us grounds for a minimal kind of scientific realism. Nonetheless, the program can offer certain epistemic virtues. (shrink)

Recently, many have argued that there are certain kinds of abstract mathematical explanations that are noncausal. In particular, the irrelevancy approach suggests that abstracting away irrelevant causal details can leave us with a noncausal explanation. In this paper, I argue that the common example of Renormalization Group explanations of universality used to motivate the irrelevancy approach deserves more critical attention. I argue that the reasons given by those who hold up RG as noncausal do not stand up to (...) critical scrutiny. As a result, the irrelevancy approach and the line between casual and noncausal explanation deserves more scrutiny. (shrink)

The renormalization group has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory, but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive field theory tradition, RG techniques do illuminate the microscopic dynamics of a QFT, which are not automatically given by axiomatic QFT. RG techniques in constructive field theory are also rigorous, so one cannot object to their (...) foundational import on grounds of lack of rigor. (shrink)

The renormalization group has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive field theory tradition, RG techniques do illuminate the microscopic dynamics of a QFT, which are not automatically given by axiomatic QFT. RG techniques in constructive field theory are also rigorous, so one cannot object to their (...) foundational import on grounds of lack of rigor. (shrink)

This paper investigates the consequences for our understanding of physical theories as a result of the development of the renormalization group. Kadanoff's assessment of these consequences is discussed. What he called the ``extended singularity theorem'' poses serious difficulties for philosophical interpretation of theories. Several responses are discussed. The resolution demands a philosophical rethinking of the role of mathematics in physical theorizing.

In their Every Thing Must Go, Ladyman and Ross defend a novel version of Neo- Russellian metaphysics of causation, which falls into three claims: (1) there are no fundamental physical causal facts (orthodox Russellian claim), (2) there are higher-level causal facts of the special sciences, and (3) higher-level causal facts are explanatorily emergent. While accepting claims (1) and (2), I attack claim (3). Ladyman and Ross argue that higher-level causal facts are explanatorily emergent, because (a) certain aspects of these higher-level (...) facts (their universality) can be captured by renormalization group (RG) explanations, and (b) RG explanations are not reductive explanations. However, I argue that RG explanation should be understood as reductive explanations. This result undermines Ladyman and Ross’s RG-based argument for the explanatory emergence of higher-level causal facts. (shrink)

Discussions of the foundations of Classical Equilibrium Statistical Mechanics (SM) typically focus on the problem of justifying the use of a certain probability measure (the microcanonical measure) to compute average values of certain functions. One would like to be able to explain why the equilibrium behavior of a wide variety of distinct systems (different sorts of molecules interacting with different potentials) can be described by the same averaging procedure. A standard approach is to appeal to ergodic theory to justify this (...) choice of measure. A different approach, eschewing ergodicity, was initiated by A. I. Khinchin. Both explanatory programs have been subjected to severe criticisms. This paper argues that the Khinchin type program deserves further attention in light of relatively recent results in understanding the physics of universal behavior. (shrink)

This paper examines the justifications for using infinite systems to ‘recover’ thermodynamic properties, such as phase transitions, critical phenomena, and irreversibility, from the micro-structure of matter in bulk. Section 2 is a summary of such rigorous methods as in taking the thermodynamic limit to recover PT and in using renormalization group approach to explain the universality of critical exponents. Section 3 examines various possible justifications for taking TL on physically finite systems. Section 4 discusses the legitimacy of applying (...) TL to the problem of irreversibility and assesses the repercussions for its legitimacy on its home turf. (shrink)

Providing a precise statement of their position has long been a central challenge facing the scientific realist. This paper draws some morals about how realism ought to be formulated from the renormalization group framework in high energy physics.

This paper examines the justifications for using infinite systems to 'recover' thermodynamic properties, such as phase transitions (PT), critical phenomena (CP), and irreversibility, from the micro-structure of matter in bulk. Section 2 is a summary of such rigorous methods as in taking the thermodynamic limit (TL) to recover PT and in using renormalization (semi-) group approach (RG) to explain the universality of critical exponents. Section 3 examines various possible justifications for taking TL on physically finite systems. Section 4 (...) discusses the legitimacy of applying TL to the problem of irreversibility and assesses the repercussions for its legitimacy on its home turf. (shrink)

The renormalization group is used to analyze the behavior of certain gravitationally significant renormalized coupling constants under a scaling of the spacetime curvature. After discussing a simple example, the results are summarized for a class of grand unified theories.

This paper discusses the alleged reduction of Thermodynamics to Statistical Mechanics. It includes an historical discussion of J. Willard Gibbs' famous caution concerning the connections between thermodynamic properties and statistical mechanical properties---his so-called ``Thermodynamic Analogies.'' The reasons for Gibbs' caution are reconsidered in light of relatively recent work in statistical physics on the existence of the thermodynamic limit and the explanation of critical behavior using the renormalization group apparatus. A probabilistic understanding of the renormalization group arguments (...) allows for a kind of unification of Gibbs' approach with contemporary understanding of the reduction problem. (shrink)

Kenneth Wilson won the Nobel Prize in Physics in 1982 for applying renormalization group, which he learnt from quantum field theory (QFT), to problems in statistical physics—the induced magnetization of materials (ferromagnetism) and the evaporation and condensation of fluids (phase transitions). See Wilson (1983). The renormalization group got its name from its early applications in QFT. There, it appeared to be a rather ad hoc method of subtracting away unwanted infinities. The further allegation was that the (...) procedure is so horrendously complicated that one cannot see the forest for the trees. The second allegation is justified in the applications that made it famous. But it is not true of the following example, which appears in Chowdhury and Stauffer (2000, 486-488). (shrink)

We revisit the implications of Haag’s theorem in the light of the renormalization group. There is still some lack of discussion in the literature about the possible impact of the theorem on the standard (as opposite of axiomatic) quantum field theory, and we try to shed light in this direction. Our discussion then deals with the interplay between Haag’s theorem and renormalization. While we clarify how perturbative renormalization (for the sub-class of interactions that are renormalizable) marginalizes (...) its impact when the coupling is formally small, we argue that a non-perturbative and non-ambiguous renormalization cannot be built if there is any reference to the interaction picture with free fields. In other words, Haag’s theorem should be regarded as a no-go theorem for the existence of a non-ambiguous analytic continuation from perturbative to non-perturbative QFT. (shrink)

We would like to open some questions here about the institutional and cultural conditions of anything that might be called cultural studies or multiculturalism. By introducing cultural studies and multiculturalism many intellectuals aim at a more democratic culture. We share this aim. In this essay, however, we would like to argue that the projects of cultural studies and multiculturalism require: a more international model of cultural studies than the dominant Anglo-American versions; renewed attention to the institutional environments of cultural studies; (...) and a questioning of the relations between multiculturalism and identity politics. We seek less to “fix” these problems than to provide a critical analysis of the languages, the methods of criticism, and the assumptions about identity, culture, and politics that present the problems to us. Because the thickets entangling what our group calls cultural studies are so deeply rooted in Western academia, which to a large degree constitutes our own group, the counterexample of cultural criticism in other contexts can be more than usually instructive. We begin by considering the position of cultural studies in China, since our group includes a number of Chinese intellectuals, on whose experience the following section is largely based. The Chicago Cultural Studies Group began meeting in June 1990. It includes Lauren Berlant, David Bunn, Vinay Dharwadker, Norma Field, Dilip Gaonkar, Marilyn Ivy, Benjamin Lee, Leo Ou-fan Lee, Xinmin Liu, Mathew Roberts, Sharon Stephens, Katie Trumpener, Greg Urban, Michael Warner, Jianyang Zha, and Jueliang Zhou. (shrink)

Batterman and Rice ([2014]) argue that minimal models possess explanatory power that cannot be captured by what they call ‘common features’ approaches to explanation. Minimal models are explanatory, according to Batterman and Rice, not in virtue of accurately representing relevant features, but in virtue of answering three questions that provide a ‘story about why large classes of features are irrelevant to the explanandum phenomenon’ ([2014], p. 356). In this article, I argue, first, that a method (the renormalization group) (...) they propose to answer the three questions cannot answer them, at least not by itself. Second, I argue that answers to the three questions are unnecessary to account for the explanatoriness of their minimal models. Finally, I argue that a common features account, what I call the ‘generalized ontic conception of explanation’, can capture the explanatoriness of minimal models. (shrink)

Malm and colleagues (2008) consider (and reject) five arguments putatively justifying the idea that healthcare workers (HCWs) have a duty to treat (DTT) during a pandemic. We do not have sufficient...

Militante et réflexive, l’histoire des femmes a aussi besoin d’exprimer ses doutes et ses inconforts. Rattrapée par l’actualité, la violence et nombre d’événements cruels et tragiques, par des incertitudes majeures vécues par l’ensemble du monde intellectuel, elle pose aujourd’hui en cet article collectif des interrogations et des inquiétudes. Ce travail à plusieurs (les participantes du Groupe d’histoire des femmes du CRH) cherche à mettre à plat ce qui actuellement se dérobe à notre connaissance, en partant de notions-clés souvent utilisées, comme (...) consentement, sexualité, écriture, patriarcat, etc. Chacune de ces notions est discutée à la lumière des brouillages actuels, des temporalités nouvelles, de l’avènement triomphant du corps marchandise, de la pauvreté grandissante, etc. (shrink)

The goal of this paper is to develop a counterfactual theory of explanation. The CTE provides a monist framework for causal and non-causal explanations, according to which both causal and non-causal explanations are explanatory by virtue of revealing counterfactual dependencies between the explanandum and the explanans. I argue that the CTE is applicable to two paradigmatic examples of non-causal explanations: Euler’s explanation and renormalization group explanations of universality.

This paper looks at emergence in physical theories and argues that an appropriate way to understand socalled “emergent protectorates” is via the explanatory apparatus of the renormalization group. It is argued that mathematical singularities play a crucial role in our understanding of at least some well-defined emergent features of the world.

En 1983, un groupe de femmes japonaises francophiles, très intéressées par le féminisme français et les changements rapides de la vie des femmes en France depuis les années 1970, créent la Société Franco-japonaise des Études sur les Femmes. Le but est de promouvoir une meilleure compréhension entre les deux cultures et de développer des liens avec les Françaises sur un grand nombre de questions féminines. Le projet se révéla vite être un succès. Parmi les études entreprises par la Société, l’analyse (...) comparée de l’histoire des Françaises et des Japonaises, domaine très peu exploré alors, a suscité un vif intérêt chez les participantes. Cet article revient sur vingt années de réflexion, de recherche, et d’échange par un groupe d’historiennes non-professionnelles sur les relations entre histoire et expériences de vie personnelles. Il nous montre comment l’étude de l’histoire des femmes dans un contexte international peut être fructueuse et bénéfique, et combien une libre discussion collective, sans tabous, sur ce sujet peut éveiller ou approfondir la conscience féministe. (shrink)

We concur with Baum and colleagues (2009) on the importance of pandemic planners taking explicit steps to employ public engagement methodologies. Thus far, as Baum and colleagues note, there have b...

One striking feature of the contemporary modelling practice is its interdisciplinary nature. The same equation forms, and mathematical and computational methods, are used across different disciplines, as well as within the same discipline. Are there, then, differences between intra- and interdisciplinary transfer, and can the comparison between the two provide more insight on the challenges of interdisciplinary theoretical work? We will study the development and various uses of the Ising model within physics, contrasting them to its applications to socio-economic systems. (...) While the renormalization group methods justify the transfer of the Ising model within physics – by ascribing them to the same universality class – its application to socio-economic phenomena has no such theoretical grounding. As a result, the insights gained by modelling socio-economic phenomena by the Ising model may remain limited. (shrink)

Originally published between 1925 and 1931 the volumes in this mini-set cover education, from early years to further education, as well as the role parents and society have in the moral education of children and young people. Among others the authors included are: C E M Joad, W J K Diplock, M Chaning Pearce and J F Roxburgh.

The focus of the titles in this mini-set, originally published between 1926 and 1928 is on the challenges of feeding an increasing global population, technological changes in the home, the evolutionary role of clothes and the dangers and benefits of alcohol.

Originally published between 1924 and 1929 discuss the future of psychology and the break-throughs it could provide for modern medicine. Authors included are E N Bennett, H F Carlill,D F Fraser Harris, M Jaeger and C J Patten.

_Routledge Library Editions: Psychoanalysis_ brings together as one set, or individual volumes, a series of 8 previously out-of-print titles, originally published between 1923 and 1993. Written by international authors from a variety of backgrounds, this set looks at psychoanalysis in a number of different areas including, culture, religion, sociology, postmodernism, literary criticism and others.

This set collects together a vital selection of works on Existentialism, including the key Introduction to the New Existentialism by Colin Wilson. Some of the titles were early works written as this new philosophy spread into the English language, while others are more recent examinations.

Originally published between 1982 and 1991 the 3 volumes in this set Reflect the diversity in Hegelianism and every branch of philosophy which he contributed to. Examine Hegel's work in relation to Marx and Wittgenstein Discuss Hegel's social theory Examine British Hegelian thinking and the lines of its development Offer an interpretation of Hegelian theory that is relevant for the understanding of modern republican constitutions.

Reissuing works originally published between 1949 and ‘79, this set presents a rich selection of renowned scholarship across the subject, touching also on ethics, religion, and psychology and other behavioural science. Classic previously out-of-print works are brought back into print here in this set of important discourse and theory.