Unstable Modes in Three-Dimensional SU(2) Gauge Theory
P. Cea, L. Cosmai
TL;DR
This paper studies the stability of SU(2) gauge theory in three dimensions under a constant chromomagnetic field, using variational methods and lattice simulations to analyze vacuum energy and unstable modes.
Contribution
It introduces a variational approach to stabilize unstable modes in three-dimensional SU(2) gauge theory and compares theoretical predictions with numerical lattice results.
Findings
Identification of unstable modes in the gauge theory.
Quantitative evaluation of vacuum energy density.
Agreement between theoretical and simulation results.
Abstract
We investigate SU(2) gauge theory in a constant chromomagnetic field in three dimensions both in the continuum and on the lattice. Using a variational method to stabilize the unstable modes, we evaluate the vacuum energy density in the one-loop approximation. We compare our theoretical results with the outcomes of the numerical simulations.
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