Original Research ARTICLE
Vacuum energy for generalised Dirac combs at $T = 0$
- 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, firstname.lastname@example.org