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Free energy and entropy for finite temperature quantum field theory under the influence of periodic backgrounds
M. Bordag, J. M. Muñoz-Castañeda, L. Santamaría-Sanz
The basic thermodynamic quantities for a non-interacting scalar field in a periodic potential composed of either a one-dimensional chain of Dirac - functions or a spec…
Revisiting the Casimir Energy with General Boundary Conditions, and applications in 1D Crystals
J. M. Muñoz-Castañeda, M. Bordag, L. Santamaría-Sanz
We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory…
Vacuum energy for generalised Dirac combs at
Michael Bordag, Jose M Muñoz-Castañeda, Lucía Santamaría-Sanz
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. Th…
QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions
J. M. Munoz-Castaneda, Klaus Kirsten, M. Bordag
Following the seminal works of Asorey-Ibort-Marmo and Muñoz-Castañeda-Asorey about selfadjoint extensions and quantum fields in bounded domains, we compute all the heat kernel coef…