### Abstract

We consider the Casimir interaction mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of the quantum interaction energy is carried out using the multiple scattering approach adapted here to the setup in question. We find an exact integral formula for the energy, from which we extract both the large- and short-distance asymptotic behavior. At large distance the fermionic contribution is found to scale as L-3, in contrast to that of electromagnetic vacuum fluctuations that, assuming perfectly conducting boundaries, scale as L-4. At short distance, we compute the leading and subleading contribution to the vacuum energy. The leading one coincides with what it is expected from the proximity force approximation, while the subleading term gives, contrary to the electromagnetic case, a positive correction to the proximity force result.

Original language | English |
---|---|

Article number | 025032 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 92 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2015 Jul 20 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*92*(2), [025032]. https://doi.org/10.1103/PhysRevD.92.025032

**Bubble-wall Casimir interaction in fermionic environments.** / Flachi, Antonino; Teo, Lee Peng.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 92, no. 2, 025032. https://doi.org/10.1103/PhysRevD.92.025032

}

TY - JOUR

T1 - Bubble-wall Casimir interaction in fermionic environments

AU - Flachi, Antonino

AU - Teo, Lee Peng

PY - 2015/7/20

Y1 - 2015/7/20

N2 - We consider the Casimir interaction mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of the quantum interaction energy is carried out using the multiple scattering approach adapted here to the setup in question. We find an exact integral formula for the energy, from which we extract both the large- and short-distance asymptotic behavior. At large distance the fermionic contribution is found to scale as L-3, in contrast to that of electromagnetic vacuum fluctuations that, assuming perfectly conducting boundaries, scale as L-4. At short distance, we compute the leading and subleading contribution to the vacuum energy. The leading one coincides with what it is expected from the proximity force approximation, while the subleading term gives, contrary to the electromagnetic case, a positive correction to the proximity force result.

AB - We consider the Casimir interaction mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of the quantum interaction energy is carried out using the multiple scattering approach adapted here to the setup in question. We find an exact integral formula for the energy, from which we extract both the large- and short-distance asymptotic behavior. At large distance the fermionic contribution is found to scale as L-3, in contrast to that of electromagnetic vacuum fluctuations that, assuming perfectly conducting boundaries, scale as L-4. At short distance, we compute the leading and subleading contribution to the vacuum energy. The leading one coincides with what it is expected from the proximity force approximation, while the subleading term gives, contrary to the electromagnetic case, a positive correction to the proximity force result.

UR - http://www.scopus.com/inward/record.url?scp=84939210586&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84939210586&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.92.025032

DO - 10.1103/PhysRevD.92.025032

M3 - Article

AN - SCOPUS:84939210586

VL - 92

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 025032

ER -