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A renormalization group improvement for thermally resummed effective potential

2023/07/05 by Koichi Funakubo, Funakubo, Koichi, Eibun Senaha +1 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2307.02153

openalex publication_date 2023/07/05 · openalex created_date 2023/07/07 · openalex updated_date 2026/07/28

Abstract

We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, β-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation theory. In contrast to the ordinary MS scheme, the renormalization group invariance of the resummed finite-temperature effective potential holds order by order, which significantly mitigates a notorious renormalization scale dependence of phase transition quantities such as a critical temperature even at the one-loop order. We also devise a tractable method that enables one to incorporate temperature-dependent higher-order corrections by fully exploiting the renormalization group invariance.

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