Operator product expansion coefficients in the exact renormalization group formalism

C. Pagani (1) , H. Sonoda

1 LPM2C - Laboratoire de physique et modélisation des milieux condensés

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 ε expansions, for the Wilson-Fisher fixed points of the real scalar theory in d=4-ε dimensions and the Lee-Yang model in d=6-ε dimensions. Finally we discuss how our formalism may be extended beyond perturbation theory.

Keywords: Formal aspects of field theory; field theory in curved space; operator product expansion; renormalization group; perturbation theory; Lee-Yang model; fixed point

Domains: High Energy Physics - Theory [hep-th]

C. Pagani, H. Sonoda. Operator product expansion coefficients in the exact renormalization group formalism. Physical Review D, 2020, 101 (10), pp.105007. ⟨10.1103/PhysRevD.101.105007⟩. ⟨hal-02475293⟩