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Optimized Perturbation Theory at Finite Temperature --- Renormalization and Nambu-Goldstone theorem in O(N) phi4 Theory ---

1998/09/01 by S. Chiku, Chiku, S., Tetsuo Hatsuda +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Theoretical and Computational Physics #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/9809215

Talk given at ``Thermal Field Theories and Their Applications'', (Regensburg, Germany, August, 10-14, 1998). RevTeX 10 pages, with 9 eps figures

openalex publication_date 1998/09/01 · arxiv created 1998/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The optimized perturbation theory (OPT) at finite temperature recently developed by the present authors is reviewed by using O(N) phi4 theory with spontaneous symmetry breaking. The method resums automatically higher loops (including the hard thermal loops) at high T and simultaneously cures the problem of tachyonic poles at relatively low T. 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 N and for any given order of OPT.

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