Effective Average Actions and Nonperturbative Evolution Equations

Abstract

The effective average actions for gauge theories and the associated nonperturbative evolution equations which govern their renormalization group flow are reviewed and various applications are described. As an example of a topological field theory, Chern-Simons theory is discussed in detail.

25 pages, latex

Cited by in corpus (12)

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• Lorentz symmetry is relevant
• Renormalization group flow of Hořava-Lifshitz gravity at low energies
• On the Landau Background Gauge Fixing and the IR Properties of YM Green Functions
• Infinite order quantum-gravitational correlations
• Rotation Symmetry Breaking Condensate in a Scalar Theory
• Power-Like Threshold Corrections to Gauge Unification in Extra Dimensions
• Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
• Quantum Field Theories with Symmetries in the Wilsonian Exact Renormalization Group