RT info:eu-repo/semantics/article T1 Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds A1 Santamaría Sanz, Lucía K1 Física K1 Physics AB The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen–Hasslacher–Neveu or DHN formula) is also exploited to characterize the quantum vacuum energy. PB Oxford University Press YR 2024 FD 2024-04 LK http://hdl.handle.net/10259/10000 UL http://hdl.handle.net/10259/10000 LA eng DS Repositorio Institucional de la Universidad de Burgos RD 30-ene-2025