The Exact Renormalization Group -- renormalization theory revisited --

Abstract

We overview the entire renormalization theory, both perturbative and non-perturbative, by the method of the exact renormalization group (ERG). We emphasize particularly on the perturbative application of the ERG to the phi4 theory and QED in the four dimensional euclidean space.

84 pages, lectures given at the Feza Gursey Institute, Istanbul, Turkey in 10-21 September 2007, references to review articles added in version 2

References in corpus (3)

• An Introduction to the Nonperturbative Renormalization Group
• On the construction of renormalized gauge theories using renormalization group techniques
• The BV Master Equation for the Wilson Action in general Yang-Mills Gauge Theory

Cited by in corpus (11)

• The nonperturbative functional renormalization group and its applications
• Proving AGT relations in the large-c limit
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Exact RG Flow in an Expanding Universe and Screening of the Cosmological Constant
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• BRST in the Exact RG
• Critical behavior of supersymmetric O(N) models in the large-N limit
• Remark on the subtractive renormalization of quadratically divergent scalar mass
• Construction of a Wilson action for the Wess-Zumino model
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• FlowPy - a numerical solver for functional renormalization group equations