arXiv subjects

Jose M. Muñoz-Castañeda

Publications and source records attributed to Jose M. Muñoz-Castañeda.

3 recordsLinked to original sources

arXiv2026

Localized zero modes enhance massive Casimir interactions

Massive quantum fields ordinarily produce strongly screened Casimir interactions at large separation. We show that a normalisable localised zero mode can change this asymptotic behaviour: it opens an additional interaction channel whose decay is parametrically slower than that due to the exchange of massive quantum fluctuations, even though the continuum itself remains gapped. We demonstrate this mechanism analytically and show that the massive quantum fluctuations provide the local dressing of each object's coupling to the zero-mode fluctuations. The sine-Gordon kink provides an exactly solvable realisation in which the Casimir interaction exhibits the predicted zero-mode-dominated large-distance behaviour, with the enhancement localised around the kink.

hep-th↗

arXiv2026

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

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.

hep-th↗

arXiv2011

Double-delta potentials: one dimensional scattering. The Casimir effect and kink fluctuations

The path is explored between one-dimensional scattering through Dirac-$δ$ walls and one-dimensional quantum field theories defined on a finite length interval with Dirichlet boundary conditions. It is found that two $δ$'s are related to the Casimir effect whereas two $δ$'s plus the first transparent P$\ddot{\rm o}$sch-Teller well arise in the context of the sine-Gordon kink fluctuations, both phenomena subjected to Dirichlet boundary conditions. One or two delta wells will be also explored in order to describe absorbent plates, even though the wells lead to non unitary Quantum Field Theories.

math-ph↗