Vacuum Energy for Generalized Dirac Combs at T = 0

Vacuum Energy for Generalized Dirac Combs at T = 0

The quantum vacuum energy for a hybrid comb of Dirac δ-δ′ potentials is computed by using the energy of the single δ-δ′ 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 qu...

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Bibliographic Details
Main Authors: Michael Bordag, Jose M. Muñoz-Castañeda, Lucía Santamaría-Sanz
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-04-01
Series:Frontiers in Physics
Subjects:
quantum vacuum
casimir effect (theory)
condensed matter
quantum field theories (QFT)
selfadjoint extensions
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00038/full
Description
Summary:The quantum vacuum energy for a hybrid comb of Dirac δ-δ′ potentials is computed by using the energy of the single δ-δ′ 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.
ISSN:2296-424X

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