Optimized Perturbation Theory at Finite Temperature --- Renormalization and Nambu-Goldstone theorem in O(N) phi^4 Theory ---
High Energy Physics - Phenomenology
2007-05-23 v3 High Energy Physics - Theory
Nuclear Theory
Abstract
The optimized perturbation theory (OPT) at finite temperature recently developed by the present authors is reviewed by using O(N) phi^4 theory with spontaneous symmetry breaking. The method resums automatically higher loops (including the hard thermal loops) at high and simultaneously cures the problem of tachyonic poles at relatively low . We prove that (i) the renormalization of the ultra-violet divergences can be carried out systematically in any given order of OPT, and (ii) the Nambu-Goldstone theorem is satisfied for arbitrary and for any given order of OPT.
Keywords
Cite
@article{arxiv.hep-ph/9809215,
title = {Optimized Perturbation Theory at Finite Temperature --- Renormalization and Nambu-Goldstone theorem in O(N) phi^4 Theory ---},
author = {S. Chiku and T. Hatsuda},
journal= {arXiv preprint arXiv:hep-ph/9809215},
year = {2007}
}
Comments
Talk given at ``Thermal Field Theories and Their Applications'', (Regensburg, Germany, August, 10-14, 1998). RevTeX 10 pages, with 9 eps figures