arXiv:2007.05731·v2·High Energy Physics — Phenomenology
Vacuum and thermal fluctuation energies of a soliton at finite temperatures
Song Shu🇨🇳 · Xiaogang Li🇨🇳 · Jia-Rong Li🇨🇳
Abstract
We have studied the vacuum and thermal fluctuation energies of a soliton at finite temperatures. First the vacuum energy coming from the Dirac sea is calculated by a summation of the discrete and continuum energy spectrum of the Dirac equation in the background field of a soliton. And all the divergences are removed by the same renormalization scheme at zero temperature. Then the vacuum energy and thermal fluctuation energy at finite temperatures in a temperature dependent soliton background are calculated. And the numerical results are analyzed and discussed.
Comments: 13 pages, 7 figures; some paragraphs and references are added