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Snowmass White Paper: The Quest to Define QFT

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arxiv 2203.08053 v2 pith:AVLKGLLB submitted 2022-03-15 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords constructionsliteraturearguearticleaxiomscomparingcompleteconclude
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This article provides a review of the literature on rigorous definitions and constructions in Quantum Field Theory, spanning the period of seven decades. Comparing with the ideas and constructions found in the modern physics literature, we conclude that none of the existing systems of QFT axioms can cover all the physical situations. Therefore, it is still an outstanding open problem to formulate a complete definition of QFT. We argue that the question is of relevance for both physicists and mathematicians.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Do null defects dream of conformal symmetry?

    hep-th 2025-09 conditional novelty 7.0 of 10

    Null line defects preserve a large conformal algebra that constrains their correlators to shockwave-plane discontinuities, and a restricted test-function space resolves the ill-defined ultraboosted gauge potential.

  2. Is there any Trinity of Gravity, to start with?

    gr-qc 2024-11 unverdicted novelty 2.0 of 10

    The teleparallel equivalents of general relativity are reformulations with unobservable extra structures, so there is no geometric trinity of gravity.

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