Casimir Effect in (2+1)-dimensional Yang-Mills Theory as a Probe of the Magnetic Mass

Abstract

We consider the Casimir effect in a gauge-invariant Hamiltonian formulation of nonabelian gauge theories in (2+1) dimensions, for an arbitrary gauge group. We show that the result is in good agreement with recent lattice simulations. We also argue that the Casimir effect may be viewed as a good probe of magnetic screening effects in (3+1)-dimensional gauge theories at high temperatures.

12 pages, two figures

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• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Casimir Energy in (2 + 1)-Dimensional Field Theories
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• Energy preserving boundary conditions in field theory
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• One-quark state near a boundary of the confinement phase of QCD