Hedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory

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dc.creatorBelavin, V. A.
dc.creatorChernodub, M. N.
dc.creatorKozlov, I. E.
dc.date2005-12-21
dc.date2006-07-03
dc.date.accessioned2026-07-07T10:44:14Z
dc.date.available2026-07-07T10:44:14Z
dc.descriptionWe suggest that the gauge-invariant hedgehoglike structures in the Wilson loops are physically interesting degrees of freedom in the Yang--Mills theory. The trajectories of these ``hedgehog loops'' are closed curves corresponding to center-valued (untraced) Wilson loops and are characterized by the center charge and winding number. We show numerically in the SU(2) Yang--Mills theory that the density of hedgehog structures in the thermal Wilson--Polyakov line is very sensitive to the finite-temperature phase transition. The (additively normalized) hedgehog line density behaves like an order parameter: the density is almost independent of the temperature in the confinement phase and changes substantially as the system enters the deconfinement phase. In particular, our results suggest that the (static) hedgehog lines may be relevant degrees of freedom around the deconfinement transition and thus affect evolution of the quark-gluon plasma in high-energy heavy-ion collisions.
dc.description20 pages, 13 figures, uses elsart.sty; replaced to match published version
dc.identifierhttps://arxiv.org/abs/hep-lat/0512030
dc.identifierhttp://arxiv.org/abs/hep-lat/0512030
dc.identifierNucl.Phys.B748:524-539,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.05.017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182522
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleHedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory
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