ERG and Schwinger-Dyson Equations - Comparison in formulations and applications --

Abstract

The advantageous points of ERG in applications to non-perturbative analyses of quantum field theories are discussed in comparison with the Schwinger-Dyson equations. First we consider the relation between these two formulations specially by examining the large N field theories. In the second part we study the phase structure of dynamical symmetry breaking in three dimensional QED as a typical example of the practical applications.

13 pages, 6 figures, references are added. Invited talk presented at Second Conference on the Exact RG, Sept 18 - 22, 2000, Rome, Italy

References in corpus (2)

• Exact evolution equation for the effective potential
• A gauge invariant exact renormalization group I

Cited by in corpus (5)

• Renormalization flow of Yang-Mills propagators
• Flow Equations without Mean Field Ambiguity
• Chiral symmetry breaking in ${\mathrm{QED}}_3$ in presence of irrelevant interactions: a renormalization group study
• Phase structure of NJL model with weak renormalization group
• Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)