Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory

Details Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory

2008-01-10

arxiv.org/abs/0801.1566v2

Phys.Rev.D77:125014,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 6 figures. v2: small clarifications and updates; published version

Scientific paper

10.1103/PhysRevD.77.125014

We construct and study a dimensionally reduced effective theory for high-temperature SU(2) Yang-Mills theory that respects all the symmetries of the underlying theory. Our main motivation is to study, whether the correct treatment of the center symmetry can help extend the applicability of the dimensional reduction procedure towards the confinement transition. After performing perturbative matching to the full theory at asymptotically high temperatures, we map the phase diagram of the effective theory using non-perturbative lattice simulations. We find that at lower temperature the theory undergoes a second order confining phase transition, in complete analogy with the full theory, which is a direct consequence of having incorporated the center symmetry.

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