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oai:riubu.ubu.es:10259/100002025-01-23T07:22:26Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds Santamaría Sanz, Lucía Física Physics 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. 2025-01-22T17:00:36Z 2025-01-22T17:00:36Z 2024-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/10259/10000 10.1093/ptep/ptae059 2050-3911 eng Progress of Theoretical and Experimental Physics. 2024, V. 2024, n. 5 https://doi.org/10.1093/ptep/ptae059 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess application/pdf Oxford University Press https://riubu.ubu.es/bitstream/10259/10000/4/Santamar%c3%ada-ptep_2024.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by/4.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/10000