QCD in the Spatial Axial Gauge
Marek Krasnansky
TL;DR
This paper addresses the anisotropy caused by the spatial axial gauge in nonabelian gauge theories and proposes methods to restore rotational symmetry, improving the physical realism of the quantization.
Contribution
It demonstrates how to restore rotational symmetry in nonabelian gauge theories quantized in the spatial axial gauge, linking gauge invariance and isotropy.
Findings
Restoration of rotational symmetry in nonabelian theories
Comparison between spatial axial gauge and Weyl gauge
Insights into gauge invariance and physical fields
Abstract
Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. We show how to restore rotational symmetry for a nonabelian theory with a gauge fixing condition . We also discuss similarities between recovering isotropy in the spatial axial gauge and finding gauge invariant quantities in the Weyl gauge in both abelian and nonabelian field theories.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research