QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions

Muñoz Castañeda, Jose Maria and Kirsten, Klaus and Bordag, Michael (2015). QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions. "Letters in Mathematical Physics", v. 105 (n. 4); pp. 523-549. ISSN 0377-9017. https://doi.org/10.1007/s11005-015-0750-5.

Description

Title: QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions
Author/s:
  • Muñoz Castañeda, Jose Maria
  • Kirsten, Klaus
  • Bordag, Michael
Item Type: Article
Título de Revista/Publicación: Letters in Mathematical Physics
Date: 2015
Volume: 105
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Following the seminal works of Asorey-Ibort-Marmo and Mu~{n}oz-Casta~{n}eda-Asorey about selfadjoint extensions and quantum fields in bounded domains, we compute all the heat kernel coefficients for any strongly consistent selfadjoint extension of the Laplace operator over the finite line [0,L]. The derivative of the corresponding spectral zeta function at s=0 (partition function of the corresponding quantum field theory) is obtained. In order to compute the correct expression for the a1/2 heat kernel coefficient, it is necessary to know in detail which non-negative selfadjoint extensions have zero modes and how many of them they have. The answer to this question leads us to analyse zeta function properties for the Von Neumann-Krein extension, the only extension with two zero modes.

More information

Item ID: 44779
DC Identifier: http://oa.upm.es/44779/
OAI Identifier: oai:oa.upm.es:44779
DOI: 10.1007/s11005-015-0750-5
Official URL: http://link.springer.com/article/10.1007/s11005-015-0750-5
Deposited by: Memoria Investigacion
Deposited on: 28 Apr 2017 09:33
Last Modified: 28 Apr 2017 09:33
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