Deconfinement in Yang-Mills theory through toroidal compactification with deformation

Abstract

We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this through a double- trace deformation of toroidally compactified Yang-Mills theory on R2 \times S1_L \times S1_β. At large N, fixed-L, and arbitrary β, the thermodynamics of the deformed theory is equivalent to that of ordinary Yang-Mills theory at leading order in the large N expansion. At fixed-N, small L and a range of β, the deformed theory maps to a two-dimensional theory with electric and magnetic (order and disorder) perturbations, analogs of which appear in planar spin-systems and statistical physics. We show that in this regime the deconfinement transition is driven by the competition between electric and magnetic perturbations in this two-dimensional theory. This appears to support the scenario proposed by Liao and Shuryak regarding the magnetic component of the quark-gluon plasma at RHIC.

25 pgaes, 4 figures

References in corpus (19)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The transition temperature in QCD
• A holographic model of deconfinement and chiral symmetry restoration
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Results from the Relativistic Heavy Ion Collider
• Volume independence in large Nc QCD-like gauge theories
• Strongly coupled plasma with electric and magnetic charges
• Effective Theory of Wilson Lines and Deconfinement
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Conformality or confinement: (IR)relevance of topological excitations
• Magnetic component of Yang-Mills plasma
• New Phases of SU(3) and SU(4) at Finite Temperature
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Topology and higher dimensional representations
• Phases of $\Nc= \infty$ QCD-like gauge theories on $S^3\times S^1$ and nonperturbative orbifold-orientifold equivalences
• Critical Temperature of the Deconfining Phase Transition in (2+1)d Georgi-Glashow Model
• sQGP as hCFT
• Monte Carlo Algorithms For Reduced Lattices, Mixed Actions, And Double-Trace Deformations
• Confinement, Screening and the Center on S^3 x S^1

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