An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds

DOI10.1007/s00023-023-01348-4arXiv2202.07580OpenAlexW4385189871MaRDI QIDQ6124820

Katarzyna Rejzner, Edoardo D'Angelo, Nicolò Drago, Nicola Pinamonti

Publication date: 2 April 2024

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

Full work available at URL: https://arxiv.org/abs/2202.07580

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Groups and algebras in quantum theory (81Rxx) General relativity (83Cxx)

Cites Work

• Unnamed Item
• Quantum gravity from the point of view of locally covariant quantum field theory
• Analytic continuation of functional renormalization group equations
• 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
• Batalin-Vilkovisky formalism in the functional approach to classical field theory
• Quantum fields in curved spacetime
• The generalised principle of perturbative agreement and the thermal mass
• Perturbative algebraic quantum field theory and the renormalization groups
• Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
• The asymptotic safety scenario in quantum gravity
• Perturbative algebraic quantum field theory. An introduction for mathematicians
• Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime
• Quantum Liouville field theory as solution of a flow equation
• 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.
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• On the adiabatic limit of Hadamard states
• Renormalization group flow and symmetry restoration in de Sitter space
• Thermal state with quadratic interaction
• 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 microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• Relational observables in asymptotically safe gravity
• The spatial functional renormalization group and Hadamard states on cosmological spacetimes
• The nonperturbative functional renormalization group and its applications
• Equilibrium states in thermal field theory and in algebraic quantum field theory
• Perturbative expansions in axiomatic field theory.
• Advances in algebraic quantum field theory
• Slavnov–Taylor Identities from the Causal Point of View
• Locally covariant charged fields and background independence
• RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME
• Quantum Gravity and the Functional Renormalization Group
• Quantum Einstein gravity
• CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
• Quantum Fields in Curved Space
• The motion of point particles in curved spacetime
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime
• A rigorous derivation of the functional renormalisation group equation

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