Vacuum and thermal fluctuation energies of a soliton at finite temperatures

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 diverg...

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Published in:Nuclear physics. A 2021-10, Vol.1014, p.122256, Article 122256
Main Authors: Shu, Song, Li, Xiaogang, Li, Jia-Rong
Format: Article
Language:English
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Quantum correction
Scattering phase shift
Soliton
Thermal fluctuation
Vacuum energy
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description 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.
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subjects Quantum correction
Scattering phase shift
Soliton
Thermal fluctuation
Vacuum energy
title Vacuum and thermal fluctuation energies of a soliton at finite temperatures
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