Phase structure of Topologically massive gauge theory with fermion
Yuichi Hoshino
TL;DR
This paper investigates the phase structure of 3D topologically massive gauge theory with fermions, focusing on infrared effects and anomalous dimensions influenced by topological mass and fermion dynamics.
Contribution
It introduces an analysis of fermion propagators in topologically massive gauge theory using Bloch-Nordsieck approximation, revealing how the Chern-Simons term affects infrared divergence and anomalous dimensions.
Findings
Infrared divergence of Chern-Simons term is softened.
Anomalous dimension becomes fractional in unquenched QCD with 2-component spinors.
Order parameter divergence indicates novel phase behavior.
Abstract
Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component spinor anomalous dimension has fractional value,where order parmeter is divergent.
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