Vacuum energy for generalised Dirac combs at $T = 0$
Mathematical Physics
2025-02-24 v3 Statistical Mechanics
math.MP
Quantum Physics
Abstract
The quantum vacuum energy for a hybrid comb of Dirac - potentials is computed using the energy of the single - 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
Cite
@article{arxiv.1812.09022,
title = {Vacuum energy for generalised Dirac combs at $T = 0$},
author = {Michael Bordag and Jose M Muñoz-Castañeda and Lucía Santamaría-Sanz},
journal= {arXiv preprint arXiv:1812.09022},
year = {2025}
}
Comments
13 pages, 3 figures. Bibliography and Acknowledgements minor corrections have been included. Some changes have been included in the first four sections