Properties of field functionals and characterization of local functionals

DOI10.1063/1.4998323zbMath1456.81296arXiv1705.01937OpenAlexW2611982228MaRDI QIDQ4607706

Camille Laurent-Gengoux, Nguyen Viet Dang, Katarzyna Rejzner, Christian Brouder

Publication date: 14 March 2018

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

Full work available at URL: https://arxiv.org/abs/1705.01937

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Axiomatic quantum field theory; operator algebras (81T05) Statistical mechanics of solids (82D20) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

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Edge modes of gravity. I: Corner potentials and charges, Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields, Lorentzian 2D CFT from the pAQFT perspective, The star product in interacting quantum field theory, Mathematical reflections on locality, On Wick polynomials of boson fields in locally covariant algebraic QFT, The algebra of Wick polynomials of a scalar field on a Riemannian manifold, An algebraic formulation of the locality principle in renormalisation, Asymptotic symmetries in the BV-BFV formalism, Relating nets and factorization algebras of observables: free field theories, Ricci flow from the renormalization of nonlinear sigma models in the framework of Euclidean algebraic quantum field theory, Locality and causality in perturbative algebraic quantum field theory, C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields, From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions

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