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Noise and ultraviolet divergences in the dynamics of the chiral condensate in QCD

dc.contributor.authorKrein, Gastão Inácio [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T19:02:15Z
dc.date.accessioned2014-05-20T14:13:44Z
dc.date.available2013-09-30T19:02:15Z
dc.date.available2014-05-20T14:13:44Z
dc.date.issued2012-01-01
dc.description.abstractThe time evolution of the matter produced in high energy heavy-ion collisions seems to be well described by relativistic viscous hydrodynamics. In addition to the hydrodynamic degrees of freedom related to energy-momentum conservation, degrees of freedom associated with order parameters of broken continuous symmetries must be considered because they are all coupled to each other. of particular interest is the coupling of degrees of freedom associated with the chiral symmetry of QCD. Quantum and thermal fluctuations of the chiral fields act as noise sources in the classical equations of motion, turning them into stochastic differential equations in the form of Ginzburg-Landau-Langevin (GLL) equations. Analytic solutions of GLL equations are attainable only in very special circumstances and extensive numerical simulations are necessary, usually by discretizing the equations on a spatial lattice. However, a not much appreciated issue in the numerical simulations of GLL equations is that ultraviolet divergences in the form of lattice-spacing dependence plague the solutions. The divergences are related to the well-known Rayleigh-Jeans catastrophe in classical field theory. In the present communication we present a systematic lattice renormalization method to control the catastrophe. We discuss the implementation of the method for a GLL equation derived in the context of a model for the QCD chiral phase transition and consider the nonequilibrium evolution of the chiral condensate during the hydrodynamic flow of the quark-gluon plasma.en
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil
dc.format.extent10
dc.identifierhttp://dx.doi.org/10.1088/1742-6596/378/1/012032
dc.identifier.citationXiii Mexican Workshop on Particles and Fields. Bristol: Iop Publishing Ltd, v. 378, p. 10, 2012.
dc.identifier.doi10.1088/1742-6596/378/1/012032
dc.identifier.fileWOS000307540500032.pdf
dc.identifier.issn1742-6588
dc.identifier.lattes5704289678296630
dc.identifier.urihttp://hdl.handle.net/11449/24654
dc.identifier.wosWOS:000307540500032
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofXiii Mexican Workshop on Particles and Fields
dc.relation.ispartofsjr0,241
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleNoise and ultraviolet divergences in the dynamics of the chiral condensate in QCDen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://iopscience.iop.org/1367-2630/page/NJP%20copyright%20statement
dcterms.rightsHolderIop Publishing Ltd
dspace.entity.typePublication
unesp.author.lattes5704289678296630
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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