Non-perturbative approach to the effective potential of the $\lambda\phi^{4} theory at finite temperature
High Energy Physics - Theory
2009-10-30 v3 High Energy Physics - Phenomenology
Abstract
We construct a non-perturbative method to investigate the phase structure of the scalar theory at finite temperature. The derivative of the effective potential with respect to the mass square is expressed in terms of the full propagator. Under a certain approximation this expression reduces to the partial differential equation for the effective potential. We numerically solve the partial differential equation and obtain the effective potential non-perturbatively. It is found that the phase transition is of the second order. The critical exponents calculated in this method are consistent with the results obtained in Landau approximation.
Keywords
Cite
@article{arxiv.hep-th/9705133,
title = {Non-perturbative approach to the effective potential of the $\lambda\phi^{4} theory at finite temperature},
author = {Tomohiro Inagaki and Kenzo Ogure and Joe Sato},
journal= {arXiv preprint arXiv:hep-th/9705133},
year = {2009}
}
Comments
17page, Latex, 9 figures