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arXiv · 1812.09022

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

Michael Bordag·Jose M Muñoz-Castañeda·Lucía Santamaría-Sanz
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Abstract

The quantum vacuum energy for a hybrid comb of Dirac $δ$-$δ'$ potentials is computed 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

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Michael Bordag, Jose M Muñoz-Castañeda, Lucía Santamaría-Sanz. 2019-02-19. Vacuum energy for generalised Dirac combs at $T = 0$. https://doi.org/10.3389/fphy.2019.00038

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