Euclidean formulation of quantum field theory without positivity

DOI10.1007/BF01218343zbMath0672.46047OpenAlexW2065359511MaRDI QIDQ1120109

Franco Strocchi, Lech Jakóbczyk

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218343

zbMATH Keywords

positivityWightman functionseuclidean formulationgeneral properties of local quantum field theories withoutModified euclidean axiomsmodified Wightman axioms

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Miscellaneous applications of functional analysis (46N99)

Related Items (14)

Quantum fields obtained from convoluted generalized white noise never have positive metric ⋮ On the cones of \(\alpha\) and generalized \(\alpha\)-positivity for quantum field theories with indefinite metric ⋮ Towards Euclidean theory of infrared singular quantum fields ⋮ On the generalized function calculus for infrared and ultraviolet singular quantum fields ⋮ Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation ⋮ \(\alpha\)-positive/\(\alpha\)-negative definite functions on groups ⋮ The structure of invariant α-CP multilinear maps and associatedJ-representations ⋮ 4D LOCAL QUANTUM FIELD THEORY MODELS FROM COVARIANT STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS I: GENERALITIES ⋮ On the structure of unitary conformal field theory. I: Existence of conformal blocks ⋮ Radon–Nikodým type theorem for α-completely positive maps ⋮ Construction of relativistic quantum fields in the framework of white noise analysis ⋮ Euclidean field theory without reflection positivity. The case of photon field ⋮ Quantum \(J\)-channels on Krein spaces ⋮ KSGNS type constructions for \(\alpha\)-completely positive maps on Krein \(C^\ast\)-modules

Cites Work

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• On virtual representations of symmetric spaces and their analytic continuation
• Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism
• Euclidean Green's functions for Jaffe fields
• Axioms for Euclidean Green's functions. II
• Axioms for Euclidean Green's functions

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