The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation

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dc.creatorLenaghan, J. T.
dc.creatorRischke, D. H.
dc.date1999-01-18
dc.date2000-02-09
dc.date.accessioned2026-07-07T10:54:50Z
dc.date.available2026-07-07T10:54:50Z
dc.descriptionThe temperature dependence of the sigma meson and pion masses is studied in the framework of the O(N) model. The Cornwall-Jackiw-Tomboulis formalism is applied to derive gap equations for the masses in the Hartree and large-N approximations. Renormalization of the gap equations is carried out within the cut-off and counter-term renormalization schemes. A consistent renormalization of the gap equations within the cut-off scheme is found to be possible only in the large-N approximation and for a finite value of the cut-off. On the other hand, the counter-term scheme allows for a consistent renormalization of both the large-N and Hartree approximations. In these approximations, the meson masses at a given nonzero temperature depend in general on the choice of the cut-off or renormalization scale. As an application, we also discuss the in-medium on-shell decay widths for sigma mesons and pions at rest.
dc.description21 pages, 6 figures, typos corrected and refs. added, accepted in Journal of Physics G
dc.identifierhttps://arxiv.org/abs/nucl-th/9901049
dc.identifierhttp://arxiv.org/abs/nucl-th/9901049
dc.identifierJ.Phys.G26:431-450,2000
dc.identifierdoi:10.1088/0954-3899/26/4/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185927
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
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