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Mathematical Physics

arXiv:1812.09022 (math-ph)
[Submitted on 21 Dec 2018 (v1), last revised 19 Feb 2019 (this version, v3)]

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

Authors:Michael Bordag, Jose M Muñoz-Castañeda, Lucía Santamaría-Sanz
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Abstract:The quantum vacuum energy for a hybrid comb of Dirac $\delta$-$\delta'$ potentials is computed using the energy of the single $\delta$-$\delta'$ 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
Comments: 13 pages, 3 figures. Bibliography and Acknowledgements minor corrections have been included. Some changes have been included in the first four sections
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
Cite as: arXiv:1812.09022 [math-ph]
  (or arXiv:1812.09022v3 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.09022

Submission history

From: Jose M Munoz-Castaneda [view email]
[v1] Fri, 21 Dec 2018 10:04:49 UTC (135 KB)
[v2] Mon, 24 Dec 2018 12:49:05 UTC (135 KB)
[v3] Tue, 19 Feb 2019 23:03:07 UTC (137 KB)
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