On the finite temperature $\lambda\varphi^{4}$ and Gross-Neveu models. Is there a first order phase transition in $(\lambda\varphi^{4})_{D=3}$?
High Energy Physics - Theory
2015-06-26 v1
Abstract
We study the behavior of two diferent models at finite temperature in a -dimensional spacetime. The first one is the model and the second one is the Gross-Neveu model. Using the one-loop approximation we show that in the model the thermal mass increase with the temperature while the thermal coupling constant decrese with the temperature. Using this facts we establish that in the model there is a temperature above which the system can develop a first order phase transition, where the origin corresponds to a metastable vacuum. In the massless Gross-Neveu model, we demonstrate that for the thermal correction to the coupling constant is zero. For our results are inconclusive. Pacs numbers: 11.10.Ef, 11.10.Gh
Cite
@article{arxiv.hep-th/9508102,
title = {On the finite temperature $\lambda\varphi^{4}$ and Gross-Neveu models. Is there a first order phase transition in $(\lambda\varphi^{4})_{D=3}$?},
author = {A. P. C. Malbouisson and N. F. Svaiter},
journal= {arXiv preprint arXiv:hep-th/9508102},
year = {2015}
}