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Front. Phys. | doi: 10.3389/fphy.2019.00038

Vacuum energy for generalised Dirac combs at $T = 0$

Michael Bordag1,  Jose M Munoz-Castaneda2* and Lucía Santamaría-Sanz2
  • 1Leipzig University, Germany
  • 2University of Valladolid, Spain

The quantum vacuum energy for a hybrid comb of Dirac $\delta$-$\delta^\prime$ potentials is computed by using the energy of the single $\delta$-$\delta^\prime$ potential over the real line that makes up the comb. The zeta function of a comb periodic potential is the continuous sum of zeta functions over the dual primitive cell of Bloch quasi-momenta. The result obtained for the quantum vacuum energy is non-perturbative in the sense that the energy function is not analytical for small couplings

Keywords: Quantum vacuum, Casimir effect (theory), condensed matter, Quantum field theories (QFT), Selfadjoint extensions

Received: 24 Dec 2018; Accepted: 27 Feb 2019.

Edited by:

Luiz A. Manzoni, Concordia College, United States

Reviewed by:

Iver H. Brevik, Norwegian University of Science and Technology, Norway
Walter F. Wreszinski, University of São Paulo, Brazil  

Copyright: © 2019 Bordag, Munoz-Castaneda and Santamaría-Sanz. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Dr. Jose M Munoz-Castaneda, University of Valladolid, Valladolid, Spain, jose.munoz.castaneda@uva.es