Fermion in the Nonabelian Gauge Field Theory in 2+1 Dimensions
V.Ch.Zhukovsky, N.A.Peskov
TL;DR
This paper investigates the behavior of fermions in a 2+1 dimensional massive SU(2) gauge field theory, providing exact solutions for the quark spectrum and shifts in a nonabelian field, revealing supersymmetry conditions.
Contribution
It presents exact solutions for quark spectra and radiative shifts in a nonabelian gauge field with Chern-Simons term, highlighting supersymmetry conditions in 2+1 dimensions.
Findings
Exact calculation of quark energy spectrum.
Radiative shift in external nonabelian field.
Identification of supersymmetric quark states.
Abstract
The massive SU(2) gauge field theory coupled with fermions is considered in 2+1 dimensions. Quark energy spectrum and radiative shift in constant external nonabelian field, being exact solution of the gauge field equations with the Chern-Simons term, are calculated. Under the condition the quark state is shown to be supersymmetric.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies