Vacuum Energy for Generalized Dirac Combs at T = 0

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 qu...

Descripción completa

Detalles Bibliográficos
Autores: Bordag, Michael, Muñoz Castañeda, José María, Santamaría Sanz, Lucía
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Burgos (UBU)
Repositorio:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/10323
Acceso en línea:http://hdl.handle.net/10259/10323
Access Level:acceso abierto
Palabra clave:Quantum vacuum
Casimir effect (theory)
Condensed matter
Quantum field theories (QFT)
Selfadjoint extensions
Física
Matemáticas
Physics
Mathematics
Descripción
Sumario: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.