FRG study of QCD-like theories finds the CP-violating four-fermion operator becomes relevant in the chirally broken phase when the gauge coupling runs, while finite quark mass strongly suppresses infrared running of the theta parameter.
Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi couplings in the sharp cutoff renormalzation group scheme, from which the critical couplings and the anomalous dimensions of the fermion composite operators near criticality are immediately obtained. It is also shown that the beta functions lead to the same critical behavior found by solving the so-called ladder Schwinger-Dyson equation, if we restrict the radiative corrections to a certain limited type.
fields
hep-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
$CP$ phase structure of QCD from functional renormalization group
FRG study of QCD-like theories finds the CP-violating four-fermion operator becomes relevant in the chirally broken phase when the gauge coupling runs, while finite quark mass strongly suppresses infrared running of the theta parameter.