Vacuum and thermal fluctuation energies of a soliton at finite temperatures

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.

arXiv comment13 pages, 7 figures; some paragraphs and references are added

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Cited by in corpus (2)

• Quantum fluctuation in an inhomogeneous background and its influence on the phase transition in a finite volume system
• Quantum fluctuation energies over a spatially inhomogeneous field background in a chiral soliton model