Equivalent fixed points in the effective average action formalism

2010/10/31 by Oliver J. Rosten · 11 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Computer science #Expression (computer science) #Fixed point #Formalism (music) #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #cond-mat.str-el #hep-ph #hep-th

paper · pdf · doi:10.1088/1751-8113/44/19/195401

published in Journal of Physics A Mathematical and Theoretical 44(19), 195401 (Institute of Physics) · 30 pages; v2: 29 pages - major improvements to section 3; v3: published in J. Phys. A - minor changes

openalex publication_date 2011/04/14 · arxiv created 2011/04/15 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Starting from a modified version of Polchinski's equation, Morris' fixed-point equation for the effective average action is derived. Since an expression for the line of equivalent fixed points associated with every critical fixed point is known in the former case, this link allows us to find, for the first time, the analogous expression in the latter case.

Citations

• The renormalization group and the ε expansion
• Exact evolution equation for the effective potential
• Triviality from the exact renormalization group
• Flow equations forN point functions and bound states
• A manifestly gauge invariant exact renormalization group
• Scaling laws for ising models near Tc