Abstract
We study how to compute the operator product expansion coefficients in the exact renormalization group formalism. After discussing possible strategies, we consider some examples explicitly, within the $\epsilon$-expansions, for the Wilson-Fisher fixed points of the real scalar theory in $d=4-\epsilon$ dimensions and the Lee-Yang model in $d=6-\epsilon$ dimensions. Finally we discuss how our formalism may be extended beyond perturbation theory.
Highlights
The exact renormalization group (ERG) provides a framework to study the fundamental aspects of quantum field theories (QFT)
In this work we studied operator product expansion (OPE) within the ERG formalism and showed by explicit computation that ERG can be employed to compute the OPE coefficients
Such OPE coefficients are independent of the RG scheme employed once one fixes a normalization convention for the operator content of the theory
Summary
Universite Grenoble Alpes, CNRS, LPMMC, 25 avenue des Martyrs, 38000 Grenoble, France and Institute für Physik (WA THEP) Johannes-Gutenberg-Universität, Staudingerweg 7, 55099 Mainz, Germany. We study how to compute the operator product expansion coefficients in the exact renormalization group formalism. We consider some examples explicitly, within the ε expansions, for the Wilson-Fisher fixed points of the real scalar theory in d 1⁄4 4 − ε dimensions and the Lee-Yang model in d 1⁄4 6 − ε dimensions. We discuss how our formalism may be extended beyond perturbation theory
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