Unstable Modes in Three-Dimensional SU(2) Gauge Theory

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.

24 pages, REVTEX 3.0, 3 Postscript figures included. (the whole postscript file (text+figures) is available on request from [email protected])

References in corpus (1)

• The Savvidy ``ferromagnetic vacuum'' in three-dimensional lattice gauge theory

Cited by in corpus (6)

• Probing the non-perturbative dynamics of SU(2) vacuum
• Monopoles, confinement and deconfinement of (2+1)D compact lattice QED in external fields
• Vacuum Stability for Dirac Fermions in Three Dimensions
• A Lattice Simulation of the SU(2) Vacuum Structure
• A Non-Abelian Variation on the Savvidy Vacuum of the Yang-Mills Gauge Theory
• Unstable Modes and Confinement in the Lattice Schrödinger Functional Approach