Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N

Simple item page
dc.creatorKneur, Jean-Loic
dc.creatorPinto, Marcus Benghi
dc.creatorRamos, Rudnei O.
dc.date2006-10-17
dc.date.accessioned2026-07-07T11:28:02Z
dc.date.available2026-07-07T11:28:02Z
dc.descriptionUsing optimized perturbation theory, we evaluate the effective potential for the massless two dimensional Gross-Neveu model at finite temperature and density containing corrections beyond the leading large-N contribution. For large-N, our results exactly reproduce the well known 1/N leading order results for the critical temperature, chemical potential and tricritical points. For finite N, our critical values are smaller than the ones predicted by the large-N approximation and seem to observe Landau's theorem for phase transitions in one space dimension. New analytical results are presented for the tricritical points that include 1/N corrections. The easiness with which the calculations and renormalization are carried out allied to the seemingly convergent optimized results displayed, in this particular application, show the robustness of this method and allows us to obtain neat analytical expressions for the critical as well as tricritical values beyond the results currently known.
dc.description29 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0610201
dc.identifierhttp://arxiv.org/abs/hep-th/0610201
dc.identifierPhys.Rev.D74:125020,2006
dc.identifierdoi:10.1103/PhysRevD.74.125020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196314
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCritical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
dc.typetext

Files

Collections

arXiv