PreprintarXiv licencearXiv
Quantum vacuum interaction between semitransparent plates in a Pöschl-Teller background: an exact relative TGTG formula
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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BibTeX
@misc{munozcastaneda2026quantum,
title = {{Quantum vacuum interaction between semitransparent plates in a Pöschl-Teller background: an exact relative TGTG formula}},
author = {Jose M. Muñoz-Castañeda and Inés Cavero-Peláez and Gonzalo Sancho-Garrido},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31866},
eprint = {2609.31866},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31866},
}
RIS
TY - UNPB
TI - Quantum vacuum interaction between semitransparent plates in a Pöschl-Teller background: an exact relative TGTG formula
AU - Jose M. Muñoz-Castañeda
AU - Inés Cavero-Peláez
AU - Gonzalo Sancho-Garrido
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31866
UR - https://arxiv.org/abs/2609.31866
AB - 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.
ER -