An Algebraic QFT Approach to the Wetterich Equation on Lorentzian Manifolds

Edoardo D'Angelo; Nicolo Drago; Nicola Pinamonti; Kasia Rejzner

doi:10.1007/s00023-023-01348-4

An Algebraic QFT Approach to the Wetterich Equation on Lorentzian Manifolds

Edoardo D'Angelo, Nicolo Drago, Nicola Pinamonti, Kasia Rejzner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal states, if they exist). This is done constructing a flow equation, which is very close to the renown Wetterich equation, by means of techniques recently developed in the realm of perturbative Algebraic Quantum Field theory (pAQFT). The key ingredient that allows one to obtain an equation which is meaningful on generic Lorentzian backgrounds is the use of a local regulator, which keeps the theory covariant. As a proof of concept, the developed methods are used to show that non-trivial fixed points arise in quantum field theories in a thermal state and in the case of quantum fields in the Bunch–Davies state on the de Sitter spacetime.

Original language	English
Pages (from-to)	2295–2352
Number of pages	58
Journal	Annales Henri Poincare
Volume	25
Early online date	24 Jul 2023
DOIs	https://doi.org/10.1007/s00023-023-01348-4
Publication status	Published - 1 Apr 2024

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10.1007/s00023-023-01348-4Licence: CC BY

An Algebraic QFT Approach to the Wetterich Equation on Lorentzian Manifolds
© 2023 The Author(s)
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Cite this

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