The quantum sine-Gordon model in perturbative AQFT

DOI10.1007/s00220-017-2944-4zbMath1386.81110arXiv1609.08530OpenAlexW3105845028WikidataQ59528019 ScholiaQ59528019MaRDI QIDQ2413053

Katarzyna Rejzner, Dorothea Bahns

Publication date: 6 April 2018

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

Full work available at URL: https://arxiv.org/abs/1609.08530

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) NLS equations (nonlinear Schrödinger equations) (35Q55) Axiomatic quantum field theory; operator algebras (81T05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items

Wedge-local observables for factorizing S-matrix with gap in the coupling constant ⋮ Local nets of von Neumann algebras in the sine-Gordon model ⋮ Lorentzian 2D CFT from the pAQFT perspective ⋮ Asymptotic morphisms and superselection theory in the scaling limit. II. Analysis of some models ⋮ The star product in interacting quantum field theory ⋮ A \(\mathrm{C}^*\)-algebraic approach to interacting quantum field theories ⋮ Equilibrium states for the massive sine-Gordon theory in the Lorentzian signature ⋮ The renormalization group. Abstracts from the workshop held July 17--23, 2022 ⋮ Properties of field functionals and characterization of local functionals ⋮ Thermal state with quadratic interaction ⋮ The algebra of Wick polynomials of a scalar field on a Riemannian manifold ⋮ On Haag's theorem and renormalization ambiguities ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs

Cites Work

• Quantum gravity from the point of view of locally covariant quantum field theory
• Mathematical aspects of quantum field theories. Contributions of the Les Houches winter school `Mathematical aspects of field theories', Les Houches, France, January and February 2012
• Functional properties of Hörmander's space of distributions having a specified wavefront set
• Perturbative algebraic quantum field theory and the renormalization groups
• Perturbative algebraic quantum field theory. An introduction for mathematicians
• The exponential of the two-dimensional massless scalar field as an infrared Jaffe field
• Construction of the two-dimensional sine-Gordon model for \(\beta < 8\pi\)
• 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
• Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
• Existence of local covariant time ordered products of quantum fields in curved spacetime
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
• The effective theory of strings
• Perturbative expansions in axiomatic field theory.
• Applications différentiables et variétés différentiables de dimension infinie
• Perturbative Construction of Models of Algebraic Quantum Field Theory
• Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
• Renormalization of massless Feynman amplitudes in configuration space
• Infrared and vacuum structure in two-dimensional local quantum field theory models. The massless scalar field
• The inverse function theorem of Nash and Moser
• Quantum Massless Field in 1+1 Dimensions
• An Algebraic Approach to Quantum Field Theory
• Algebraic quantum field theory, perturbation theory, and the loop expansion
• Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item