Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: Scalar case.
(2008) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 77. p.1-105011- Abstract
- Recent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir apparatus was then predicted to experience a tiny push in the upward direction, and the regularized energy-momentum tensor was evaluated to first order in the gravitational
acceleration. This analysis made it desirable to assess what happens in a simpler case. For this purpose, the present paper studies a free, real massless scalar field subject to homogeneous Dirichlet conditions on the parallel plates. Working again to first order in the constant gravity acceleration, the resulting regularized and... (More) - Recent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir apparatus was then predicted to experience a tiny push in the upward direction, and the regularized energy-momentum tensor was evaluated to first order in the gravitational
acceleration. This analysis made it desirable to assess what happens in a simpler case. For this purpose, the present paper studies a free, real massless scalar field subject to homogeneous Dirichlet conditions on the parallel plates. Working again to first order in the constant gravity acceleration, the resulting regularized and renormalized energy-momentum tensor is found to be covariantly conserved, while the trace anomaly vanishes if the massless scalar field is conformally coupled to gravity. Conformal coupling also ensures a finite Casimir energy and finite values of the pressure upon parallel plates. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4123839
- author
- Esposito, Giampiero ; Napolitano, George LU and Rosa, Luigi
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review D (Particles, Fields, Gravitation and Cosmology)
- volume
- 77
- pages
- 1 - 105011
- publisher
- American Physical Society
- external identifiers
-
- scopus:43949145940
- ISSN
- 1550-2368
- DOI
- 10.1103/PhysRevD.77.105011
- language
- English
- LU publication?
- no
- id
- 7d0a2bfc-f712-4aad-a865-8c9637da84c2 (old id 4123839)
- alternative location
- http://arxiv.org/abs/0803.0861
- date added to LUP
- 2016-04-01 11:44:55
- date last changed
- 2022-04-05 04:28:13
@article{7d0a2bfc-f712-4aad-a865-8c9637da84c2, abstract = {{Recent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir apparatus was then predicted to experience a tiny push in the upward direction, and the regularized energy-momentum tensor was evaluated to first order in the gravitational<br/><br> acceleration. This analysis made it desirable to assess what happens in a simpler case. For this purpose, the present paper studies a free, real massless scalar field subject to homogeneous Dirichlet conditions on the parallel plates. Working again to first order in the constant gravity acceleration, the resulting regularized and renormalized energy-momentum tensor is found to be covariantly conserved, while the trace anomaly vanishes if the massless scalar field is conformally coupled to gravity. Conformal coupling also ensures a finite Casimir energy and finite values of the pressure upon parallel plates.}}, author = {{Esposito, Giampiero and Napolitano, George and Rosa, Luigi}}, issn = {{1550-2368}}, language = {{eng}}, pages = {{1--105011}}, publisher = {{American Physical Society}}, series = {{Physical Review D (Particles, Fields, Gravitation and Cosmology)}}, title = {{Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: Scalar case.}}, url = {{http://dx.doi.org/10.1103/PhysRevD.77.105011}}, doi = {{10.1103/PhysRevD.77.105011}}, volume = {{77}}, year = {{2008}}, }