Remarks on local symmetry invariance in perturbative algebraic quantum field theory

DOI10.1007/s00023-014-0312-xzbMath1306.81137arXiv1301.7037OpenAlexW2128269078MaRDI QIDQ2513266

Katarzyna Rejzner

Publication date: 2 February 2015

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

Full work available at URL: https://arxiv.org/abs/1301.7037

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of selfadjoint operator algebras to physics (46L60) Methods of quantum field theory in general relativity and gravitational theory (83C47) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (9)

Quantum gravity from the point of view of locally covariant quantum field theory ⋮ Quantum gravitational corrections for spinning particles ⋮ Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime ⋮ Quantum BRST charge in gauge theories in curved space-time ⋮ Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories ⋮ Hadamard states for the linearized Yang-Mills equation on curved spacetime ⋮ Quantum field theory on curved spacetimes: Axiomatic framework and examples ⋮ Background independence in gauge theories ⋮ pAQFT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum gravity from the point of view of locally covariant quantum field theory
• Batalin-Vilkovisky formalism in the functional approach to classical field theory
• Perturbative algebraic quantum field theory and the renormalization groups
• Singularity structure of the two-point function in quantum field theory in curved spacetime. II
• A local (perturbative) construction of observables in gauge theories: The example of QED
• 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
• The master Ward identity and generalized Schwinger-Dyson equation in classical field theory
• Local BRST cohomology in gauge theories
• 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
• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• The effective theory of strings
• Manifestly Covariant Canonical Formulation of Yang-Mills Field Theories. II: SU(2) Higgs-Kibble Model with Spontaneous Symmetry Breaking
• FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY
• Is general relativity ‘essentially understood’?
• REMOVAL OF VIOLATIONS OF THE MASTER WARD IDENTITY IN PERTURBATIVE QFT
• RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME
• THE MASTER WARD IDENTITY
• CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
• An Algebraic Approach to Quantum Field Theory
• CAUSAL PERTURBATION THEORY IN TERMS OF RETARDED PRODUCTS, AND A PROOF OF THE ACTION WARD IDENTITY
• Cohomology Theory of Lie Groups and Lie Algebras
• Cohomological analysis of gauge-fixed gauge theories
• Quantization of relativistic systems with constraints
• Hamiltonian formalism, quantization and \(S\) matrix for supergravity
• Algebraic quantum field theory, perturbation theory, and the loop expansion
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime

This page was built for publication: Remarks on local symmetry invariance in perturbative algebraic quantum field theory