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Wick Rotation and the Positivity of Energy in Quantum Field Theory
Author(s) -
Maxim Kontsevich,
Graeme Segal
Publication year - 2021
Publication title -
the quarterly journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.922
H-Index - 35
eISSN - 1464-3847
pISSN - 0033-5606
DOI - 10.1093/qmath/haab027
Subject(s) - unitary state , axiom , partition function (quantum field theory) , domain (mathematical analysis) , quantum field theory , mathematics , boundary (topology) , field (mathematics) , pure mathematics , quantum , function (biology) , theoretical physics , physics , quantum mechanics , mathematical physics , mathematical analysis , geometry , evolutionary biology , political science , law , biology
We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian metrics are contained in the allowable domain, while Lorentzian metrics lie on its boundary.

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