Scalar O(N) Model at Finite Temperature -- 2PI Effective Potential in Different Approximations
High Energy Physics - Phenomenology
2017-08-23 v1
Abstract
We calculate the two-particle irreducible (2PI) effective potential of the O(N) linear sigma model in 1+1 dimensions. The approximations we use are the next-to-leading order of a 1/N expansion (for arbitrary N) and a kind of "resummed loop approximation" for N=1. We show that the effective potential of the 1/N expansion is convex for N=4 and N=10 whereas it is not for the "loop" expansion and the case N=1 of the 1/N expansion.
Cite
@article{arxiv.hep-ph/0409153,
title = {Scalar O(N) Model at Finite Temperature -- 2PI Effective Potential in Different Approximations},
author = {Jurgen Baacke and Stefan Michalski},
journal= {arXiv preprint arXiv:hep-ph/0409153},
year = {2017}
}
Comments
LaTeX, 5 pages. Contribution to the Proceedings of 6th Conference on Strong and Electroweak Matter 2004 (SEWM04), Helsinki, Finland, 16-19 Jun 2004