Deformations of QFTs and Connes-Marcolli's renormalization group in Epstein-Glaser scheme
Ozgur Ceyhan
TL;DR
This paper explores how deformations of quantum field theories (QFTs) relate to Connes-Marcolli's renormalization group within the Epstein-Glaser framework, linking algebraic structures to finite QFTs.
Contribution
It introduces an action of the pro-algebraic group $U^*$ on finite QFTs derived via Epstein-Glaser renormalization, connecting it to Connes-Marcolli's renormalization group.
Findings
Establishes a group action on finite QFTs
Links algebraic deformations to renormalization group
Provides a new perspective on QFT deformations
Abstract
This short note aims to describe the deformations of QFTs and give an action of the same pro-algebraic group which appears in Connes-Marcolli's setting, on the finite QFTs constructed by Epstein-Glaser renormalization scheme.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology