ERG as a tool for non-perturbative studies

TL;DR

This paper reviews the exact renormalization group method, discussing its theoretical foundations, recent advances, and applications to critical phenomena and phase transitions in quantum field theories.

Contribution

It provides a comprehensive overview of the ERG approach, including derivation of equations, fixed point analysis, and calculation of critical exponents, highlighting recent developments.

Findings

Derivation of effective action equations

Calculation of critical exponents

Construction of the c-function

Abstract

Basic elements of the exact renormalization group method and recent results within this approach are reviewed. Topics covered are the derivation of equations for the effective action and relations between them, derivative expansion, solutions of fixed point equations and the calculation of the critical exponents, construction of the c-function and a description of the chiral phase transition.