A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere

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dc.creatorAharony, Ofer
dc.creatorMarsano, Joseph
dc.creatorMinwalla, Shiraz
dc.creatorPapadodimas, Kyriakos
dc.creatorVan Raamsdonk, Mark
dc.date2005-02-17
dc.date2006-08-14
dc.date.accessioned2026-07-07T10:30:08Z
dc.date.available2026-07-07T10:30:08Z
dc.descriptionWe give an analytic demonstration that the 3+1 dimensional large N SU(N) pure Yang-Mills theory, compactified on a small 3-sphere so that the coupling constant at the compactification scale is very small, has a first order deconfinement transition as a function of temperature. We do this by explicitly computing the relevant terms in the canonical partition function up to 3-loop order; this is necessary because the leading (1-loop) result for the phase transition is precisely on the borderline between a first order and a second order transition. Since numerical work strongly suggests that the infinite volume large N theory also has a first order deconfinement transition, we conjecture that the phase structure is independent of the size of the 3-sphere. To deal with divergences in our calculations, we are led to introduce a novel method of regularization useful for nonabelian gauge theory on a 3-sphere.
dc.description63 pages (40 pages + 2 appendices), 6 figures, harvmac. v2: minor corrections
dc.identifierhttps://arxiv.org/abs/hep-th/0502149
dc.identifierhttp://arxiv.org/abs/hep-th/0502149
dc.identifierPhys.Rev.D71:125018,2005
dc.identifierdoi:10.1103/PhysRevD.71.125018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178042
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
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