Quantum field theory lacks complete mathematical rigor in four dimensions

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Quantum field theory continues to face significant foundational and mathematical challenges, particularly regarding its rigorous formulation in four dimensions.

The analysis

The retrieved literature touches upon foundational and open challenges in quantum field theory and strongly coupled systems, supporting the claim that complete mathematical rigor remains an active area of investigation. None of the papers refute the claim.

Evidence for · 2

QCD and strongly coupled gauge theories: challenges and perspectives.

Recorded source metadata

Brambilla N, Eidelman S, Foka P, Gardner S, Kronfeld AS, Alford MG, Alkofer R, Butenschoen M, Cohen TD, Erdmenger J, Fabbietti L, Faber M, Goity JL, Ketzer B, Lin HW, Llanes-Estrada FJ, Meyer HB, Pakhlov P, Pallante E, Polikarpov MI, Sazdjian H, Schmitt A, Snow WM, Vairo A, Vogt R, Vuorinen A, Wittig H, Arnold P, Christakoglou P, Di Nezza P, Fodor Z, Garcia I Tormo X, Höllwieser R, Janik MA, Kalweit A, Keane D, Kiritsis E, Mischke A, Mizuk R, Odyniec G, Papadodimas K, Pich A, Pittau R, Qiu JW, Ricciardi G, Salgado CA, Schwenzer K, Stefanis NG, von Hippel GM, Zakharov VI. QCD and strongly coupled gauge theories: challenges and perspectives.. 2014. https://doi.org/10.1140/epjc/s10052-014-2981-5

Paper 0 highlights ongoing open challenges in quantum chromodynamics and strongly coupled gauge theories.

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More for · 1

“In Mathematical Language”: On Mathematical Foundations of Quantum Foundations

Recorded source metadata

A. Plotnitsky. “In Mathematical Language”: On Mathematical Foundations of Quantum Foundations. 2024. https://doi.org/10.3390/e26110989

Paper 3 discusses the mathematical foundations and formal postulates connecting quantum field theory without fully resolving representation issues.

Source citation format

The paper trail · every fact has a biography

first checked01 Aug 2026

judged → SUPPORTED · 8501 Aug 2026

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