Confinement in the 3-dimensional Gross-Neveu model at finite temperature

dc.creatorKhanna, Faqir C.
dc.creatorMalbouisson, Adolfo Pedro Carvalho
dc.creatorMalbouisson, Jorge Mário Carvalho
dc.creatorSantanac, A. E.
dc.creatorKhanna, Faqir C.
dc.creatorMalbouisson, Adolfo Pedro Carvalho
dc.creatorMalbouisson, Jorge Mário Carvalho
dc.creatorSantanac, A. E.
dc.date.accessioned2012-10-10T20:37:59Z
dc.date.accessioned2022-10-07T15:44:34Z
dc.date.available2012-10-10T20:37:59Z
dc.date.available2022-10-07T15:44:34Z
dc.date.created2012-10-10T20:37:59Z
dc.date.issued2007
dc.identifier0103-9733
dc.identifierhttp://www.repositorio.ufba.br/ri/handle/ri/6932
dc.identifierv. 37, n.1
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4005786
dc.description.abstractWe study the N-component (2+1)-dimensional Gross-Neveu model bounded between two parallel planes separated by a distance L at finite temperature (T). We obtain a closed expression for the large-N effective coupling constant g = g(L,T,l). Different behavior depending on the magnitude of the fixed coupling constant l is found to lead to a ''critical'' value lc. If l < lc, only short-distance and/or high-temperature asymptotic freedom is found. For l > lc one also observes spatial confinement, which is destroyed by temperature effects. We find a confining length, Lc ~ 1.61 fm, that is close to the proton charge diameter ( » 1.74 fm) and a deconfining temperature, ~ 138 MeV, which is comparable to the estimated value of » 200 MeV for hadrons.
dc.languageen
dc.publisherBrazilian Journal of Physics
dc.sourcehttp://dx.doi.org/10.1590/S0103-97332007000200019
dc.subjectGross-Neveu model
dc.subjectFour-point function
dc.subjectSpatial confinement
dc.titleConfinement in the 3-dimensional Gross-Neveu model at finite temperature
dc.typeArtigo de Periódico


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