Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-17
Phys.Rev.D74:125020,2006
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 14 figures
Scientific paper
10.1103/PhysRevD.74.125020
Using 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.
Kneur Jean-Loic
Pinto Marcus Benghi
Ramos Rudnei O.
No associations
LandOfFree
Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-99709