Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.06829 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913889901346816 |
|---|---|
| author | Erdas, Andrea |
| author_facet | Erdas, Andrea |
| contents | In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The breaking of Lorentz invariance is implemented by a constant space-like vector directly coupled to higher order derivatives of the field. I take this vector to be space-like to avoid non-causality problems that could arise with a time-like vector. I examine the two scenarios of the scalar field satisfying either Dirichlet or mixed boundary conditions on a pair of plane parallel plates. I use the zeta function technique to investigate the effect of a constant magnetic field, perpendicular to the plates, on the Casimir energy and pressure. I examine two different directions of the unit vector: parallel and perpendicular to the plates. I fully examine both scenarios for both types of boundary conditions and, in both cases and for both types of boundary conditions, I obtain simple analytic expressions of the Casimir energy and pressure in the three asymptotic limits of strong magnetic field, large mass, and small plate distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic Casimir effect of a Lorentz-violating scalar with higher order derivatives Erdas, Andrea High Energy Physics - Theory In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The breaking of Lorentz invariance is implemented by a constant space-like vector directly coupled to higher order derivatives of the field. I take this vector to be space-like to avoid non-causality problems that could arise with a time-like vector. I examine the two scenarios of the scalar field satisfying either Dirichlet or mixed boundary conditions on a pair of plane parallel plates. I use the zeta function technique to investigate the effect of a constant magnetic field, perpendicular to the plates, on the Casimir energy and pressure. I examine two different directions of the unit vector: parallel and perpendicular to the plates. I fully examine both scenarios for both types of boundary conditions and, in both cases and for both types of boundary conditions, I obtain simple analytic expressions of the Casimir energy and pressure in the three asymptotic limits of strong magnetic field, large mass, and small plate distance. |
| title | Magnetic Casimir effect of a Lorentz-violating scalar with higher order derivatives |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.06829 |