A Lorentzian renormalisation group equation for gauge theories
arXiv:2303.01479 · doi:10.1007/s00023-024-01535-x
Abstract
In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective average action, under changes of a mass parameter k. Here we introduce an analogous flow equation for gauge theories, with the aid of the Batalin-Vilkovisky (BV) formalism. We also show that the corresponding effective average action satisfies a Slavnov-Taylor identity in Zinn-Justin form. We interpret the equation as a cohomological constraint on the functional form of the effective average action, and we show that it is consistent with the flow.
References in corpus (46)
- Exact evolution equation for the effective potential
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Nonperturbative Evolution Equation for Quantum Gravity
- Aspects of the Functional Renormalisation Group
- The nonperturbative functional renormalization group and its applications
- Local BRST cohomology in gauge theories
- The generally covariant locality principle -- A new paradigm for local quantum physics
- Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds
- Quantum Einstein Gravity
- Antibracket, Antifields and Gauge-Theory Quantization
- Introduction to the functional RG and applications to gauge theories
- Local BRST cohomology in the antifield formalism: I. General theorems
- Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime
- Fundamentals of the Exact Renormalization Group
- Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime
- Asymptotically Safe Lorentzian Gravity
- Flow Equations and BRS Invariance for Yang-Mills Theories
- Conservation of the stress tensor in perturbative interacting quantum field theory in curved spacetimes
- Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
- Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
- Renormalization of gauge invariant operators and anomalies in Yang-Mills theory
- Renormalized Quantum Yang-Mills Fields in Curved Spacetime
- Non-perturbative thermal flows and resummations
- Algebraic Quantum Field Theory, Perturbation Theory, and the Loop Expansion
- Batalin-Vilkovisky formalism in the functional approach to classical field theory
- Functional Callan-Symanzik equation
- Introduction to a renormalisation group method
- A Complete Renormalization Group Trajectory Between Two Fixed Points
- Removal of violations of the Master Ward Identity in perturbative QFT
- CRITICAL (Phi^{4}_{3,ε})
- Predictivity and Nonrenormalizability
- The Master Ward Identity
- The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes
- Composite Operators in Asymptotic Safety
- Homotopy theory of algebraic quantum field theories
- A C*-algebraic approach to interacting quantum field theories
- The generalised principle of perturbative agreement and the thermal mass
- Gentle introduction to rigorous Renormalization Group: a worked fermionic example
- Linear Yang-Mills theory as a homotopy AQFT
- BRST invariant RG flows
- Locally covariant charged fields and background independence
- -algebraic approach to interacting quantum field theory: Inclusion of Fermi fields
- Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime
- Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories
- A Rigorous Derivation of the Functional Renormalisation Group Equation
- The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States