Wait, Why Gauge?

British Journal for the Philosophy of Science (forthcoming)
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Abstract

Philosophers of physics have spent much effort unpacking the structure of gauge theories. But surprisingly, little attention has been devoted to the question of why we should require our best theories to be locally gauge invariant in the first place. Drawing on Steven Weinberg's works in the mid-1960s, I argue that the principle of local gauge invariance follows from Lorentz invariance and other natural assumptions in the context of perturbative relativistic quantum field theory. On this view, gauge freedom is a mere accidental feature of an already highly constrained set of quantities; the distinctive structure of our best gauge theories, in turn, traces back to the peculiar space-time transformation properties of particles like photons, gluons, and gravitons. I conclude by drawing a few interpretative lessons for the philosophy of gauge theories.

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Sébastien Rivat
Ludwig Maximilians Universität, München

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References found in this work

Understanding Gauge.James Owen Weatherall - 2016 - Philosophy of Science 83 (5):1039-1049.
Understanding electromagnetism.Gordon Belot - 1998 - British Journal for the Philosophy of Science 49 (4):531-555.
The Real Problem with Perturbative Quantum Field Theory.James D. Fraser - 2020 - British Journal for the Philosophy of Science 71 (2):391-413.

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