On Wick polynomials of boson fields in locally covariant algebraic QFT

DOI10.1007/s00023-018-0742-yzbMath1414.83022arXiv1710.01937OpenAlexW2763973088MaRDI QIDQ1729824

Igor Khavkine, Valter Moretti, Alberto Melati

Publication date: 28 February 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01937

zbMATH Keywords

Klein-Gordon fieldcurved spacetimeWick polynomialslocal \(*\)-algebraslocally covariant algebraic quantum field theoryvector field renormalization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (7)

Local and covariant flow relations for OPE coefficients in Lorentzian spacetimes ⋮ The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators ⋮ Thermal state with quadratic interaction ⋮ The algebra of Wick polynomials of a scalar field on a Riemannian manifold ⋮ Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories ⋮ On the uniqueness of the torsion and curvature operators ⋮ Ricci flow from the renormalization of nonlinear sigma models in the framework of Euclidean algebraic quantum field theory

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