Casimir energy through transfer operators for sine-Gordon backgrounds
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913321459908608 |
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| author | Santamaría-Sanz, Lucía |
| author_facet | Santamaría-Sanz, Lucía |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01438 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Casimir energy through transfer operators for sine-Gordon backgrounds Santamaría-Sanz, Lucía High Energy Physics - Theory Mathematical 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 formula) is also exploited to characterize the quantum vacuum energy. |
| title | Casimir energy through transfer operators for sine-Gordon backgrounds |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2305.01438 |