Deconfinement in Yang-Mills Theory through Toroidal Compactification

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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 R{sup 2} x S{sub L}{sup 1} x S{sub {beta}}{sup 1}. At large N, fixed-L, and arbitrary {beta}, 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 {beta}, the deformed theory maps to a two-dimensional theory with electric ... continued below

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24 pages

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Simic, Dusan; Unsal, Mithat & /Stanford U., Phys. Dept. /SLAC August 12, 2011.

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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 R{sup 2} x S{sub L}{sup 1} x S{sub {beta}}{sup 1}. At large N, fixed-L, and arbitrary {beta}, 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 {beta}, 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.

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24 pages

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  • Journal Name: Submitted to Journal of High Energy Physics (JHEP)

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  • Report No.: SLAC-PUB-14287
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 1022577
  • Archival Resource Key: ark:/67531/metadc832865

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  • August 12, 2011

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Dec. 8, 2016, 3:11 p.m.

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Simic, Dusan; Unsal, Mithat & /Stanford U., Phys. Dept. /SLAC. Deconfinement in Yang-Mills Theory through Toroidal Compactification, article, August 12, 2011; United States. (digital.library.unt.edu/ark:/67531/metadc832865/: accessed October 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.