Gilkey-de Witt heat kernel expansion and zero modes

Alonso-Izquierdo, A. and Mateos Guilarte, J. (2013) Gilkey-de Witt heat kernel expansion and zero modes. Il nuovo cimento C, 36 (3). pp. 3-14. ISSN 1826-9885

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In this paper we propose a generalization of the Gilkey-de Witt heat kernel expansion, designed to provide us with a precise estimation of the heat trace of non-negative Schrodinger type differential operators with non-trivial kernel over all the domain of its “inverse temperature” variable β. We apply this modified approach to compute effectively the one-loop kink mass shift for some models whose kink fluctuation operator spectrum is unknown and the only alternative to estimate this magnitude is the use of the heat kernel expansion techniques.

Item Type: Article
Uncontrolled Keywords: Classical and semiclassical techniques ; Extended classical solutions; cosmic strings, domain walls, texture ; Renormalization
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 05 May 2020 12:47
Last Modified: 05 May 2020 12:47

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