2012/12/01 by Ken-Ichi Aoki, K.-I. Aoki, Daisuke Sato +1 · 1 citation
Physics and Astronomy · #Chiral symmetry breaking #First-order partial differential equation #Flow (mathematics) #High-Energy Particle Collisions Research #Operator (biology) #Partial differential equation #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Renormalization group #Symmetry breaking #hep-ph #hep-th
paper · pdf · doi:10.1093/ptep/ptt018
25 pages, 7 figures
arxiv created 2012/12/01 · openalex publication_date 2013/04/01 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The non-perturbative renormalization group approach to dynamical chiral symmetry breaking is an effective method which can accommodate beyond the ladder (mean field) approximation. The usual method relying on field operator expansion suffers explosive behaviors of the 4-fermi coupling constant, which prevent us from evaluating the physical quantities in the broken phase. In order to overcome this difficulty, we solve the flow equation directly as a partial differential equation and calculate the dynamical mass and the chiral condensates. Also, we go beyond the ladder approximation to formulate an equation which gives almost gauge-independent results for the chiral condensates.