AUTHOR=Bordag Michael , Muñoz-Castañeda Jose M. , Santamaría-Sanz Lucía 

TITLE=Vacuum Energy for Generalized Dirac Combs at T = 0

JOURNAL=Frontiers in Physics

VOLUME=7

YEAR=2019

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00038

DOI=10.3389/fphy.2019.00038

ISSN=2296-424X

ABSTRACT=<p>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.</p>