The algebra of Wick polynomials of a scalar field on a Riemannian manifold
From MaRDI portal
Publication:5149204
DOI10.1142/S0129055X20500233zbMath1453.81050arXiv1903.01258OpenAlexW3003639139WikidataQ115246556 ScholiaQ115246556MaRDI QIDQ5149204
Nicolò Drago, Paolo Rinaldi, Claudio Dappiaggi
Publication date: 8 February 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.01258
Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05)
Related Items (9)
Gaussian free fields and Riemannian rigidity ⋮ Local and covariant flow relations for OPE coefficients in Lorentzian spacetimes ⋮ A microlocal approach to renormalization in stochastic PDEs ⋮ An algebraic and microlocal approach to the stochastic nonlinear Schrödinger equation ⋮ Besov wavefront set ⋮ Recursive construction of the operator product expansion in curved space ⋮ Reconstruction theorem for germs of distributions on smooth manifolds ⋮ Ricci flow from the renormalization of nonlinear sigma models in the framework of Euclidean algebraic quantum field theory ⋮ Wick rotation of the time variables for two-point functions on analytic backgrounds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic dependence is an unnecessary requirement in renormalization of locally covariant QFT
- Batalin-Vilkovisky formalism in the functional approach to classical field theory
- A \(C^*\)-algebra for quantized principal \(U(1)\)-connections on globally hyperbolic Lorentzian manifolds
- The generalised principle of perturbative agreement and the thermal mass
- Perturbative algebraic quantum field theory and the renormalization groups
- Perturbative algebraic quantum field theory. An introduction for mathematicians
- Axioms for Euclidean Green's functions. II
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- On the renormalization group in curved spacetime
- Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
- Thermal state with quadratic interaction
- On Wick polynomials of boson fields in locally covariant algebraic QFT
- Existence of local covariant time ordered products of quantum fields in curved spacetime
- The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
- Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
- Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds
- Axioms for Euclidean Green's functions
- 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
- Constructing Hadamard states via an extended Møller operator
- The quantum sine-Gordon model in perturbative AQFT
- Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields
- Advances in algebraic quantum field theory
- Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction
- QUANTUM FIELD THEORY ON CURVED BACKGROUNDS — A PRIMER
- Locally covariant charged fields and background independence
- Euclidean Epstein–Glaser renormalization
- Differential Analysis on Complex Manifolds
- Symmetric Green's Functions on Complete Manifolds
- FROM EUCLIDEAN FIELD THEORY TO QUANTUM FIELD THEORY
- Properties of field functionals and characterization of local functionals
- CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
- An Algebraic Approach to Quantum Field Theory
- Local Wick polynomials and time ordered products of quantum fields in curved spacetime
This page was built for publication: The algebra of Wick polynomials of a scalar field on a Riemannian manifold