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arXiv · 2305.01438

Casimir energy through transfer operators for sine-Gordon backgrounds

Lucía Santamaría-Sanz
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Abstract

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 formula) is also exploited to characterize the quantum vacuum energy.

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Lucía Santamaría-Sanz. 2023-05-02. Casimir energy through transfer operators for sine-Gordon backgrounds. https://doi.org/10.1093/ptep%2Fptae059

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