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Vacuum Energy for Generalized Dirac Combs at T = 0 Bordag, Michael Muñoz Castañeda, José María Santamaría Sanz, Lucía Quantum vacuum Casimir effect (theory) Condensed matter Quantum field theories (QFT) Selfadjoint extensions Física Matemáticas Physics Mathematics 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. The authors acknowledge support from the German Research Foundation (DFG) and Universität Leipzig within the program of Open Access Publishing. JMM-C and LS-S are grateful to the Spanish Government-MINECO (MTM2014-57129-C2-1-P) and the Junta de Castilla y León (BU229P18, VA137G18 and VA057U16) for the financial support. 2025-03-13T10:27:50Z 2025-03-13T10:27:50Z 2019-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/10259/10323 10.3389/fphy.2019.00038 2296-424X eng Frontiers in Physics. 2019, V. 7, n. 38 https://doi.org/10.3389/fphy.2019.00038 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess application/pdf Frontiers