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arXiv · 2609.31866

Quantum vacuum interaction between semitransparent plates in a Pöschl-Teller background: an exact relative TGTG formula

Jose M. Muñoz-Castañeda·Inés Cavero-Peláez·Gonzalo Sancho-Garrido
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Abstract

We derive an exact background-dressed TGTG formula for the one-loop quantum vacuum inter- action between two semitransparent Dirac-delta plates in the one-soliton Pöchl-Teller background. The interaction is defined through a relative determinant in which the two isolated one-plate contributions are subtracted in the same background. As a result, the energy depends on the individual plate positions as well as on their separation. For repulsive plates, the normalizable zero mode does not induce an infrared divergence in the relative interaction energy. We also extend the construction to planar plates and analyze the corresponding position-dependent interaction forces.

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Jose M. Muñoz-Castañeda, Inés Cavero-Peláez, Gonzalo Sancho-Garrido. 2026-09-25. Quantum vacuum interaction between semitransparent plates in a Pöschl-Teller background: an exact relative TGTG formula. https://arxiv.org/abs/2609.31866

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