A philosopher's guide to the foundations of quantum field theory

Philosophy Compass 12 (5):e12414 (2017)
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Abstract

A major obstacle facing interpreters of quantum field theory is a proliferation of different theoretical frameworks. This article surveys three of the main available options—Lagrangian, Wightman, and algebraic QFT—and examines how they are related. Although each framework emphasizes different aspects of QFT, leading to distinct strengths and weaknesses, there is less tension between them than commonly assumed. Given the limitations of our current knowledge and the need for creative new ideas, I urge philosophers to explore puzzles, tools, and techniques from all three approaches.

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Noel Swanson
University of Delaware

References found in this work

Taking particle physics seriously: A critique of the algebraic approach to quantum field theory.David Wallace - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):116-125.
The fate of 'particles' in quantum field theories with interactions.Doreen Fraser - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):841-859.
How to take particle physics seriously: A further defence of axiomatic quantum field theory.Doreen Fraser - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):126-135.

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