The Casimir Force in a Lorentz Violating Theory - INSPIRE

DataBETA

The Casimir Force in a Lorentz Violating Theory

Jul, 2006

20 pages

Published in:

Phys.Rev.D 74 (2006) 033016

e-Print:

hep-ph/0607087 [hep-ph]

DOI:

10.1103/PhysRevD.74.033016

Report number:

CUMQ-HEP-141

View in:

ADS Abstract Service

reference search63 citations

Citations per year

Abstract:

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in vacuum. We provide explicit solutions for the electromagnetic field using scalar field analogy, for both the cases in which the Lorentz violating terms come from the CPT-even or CPT-odd terms. We also calculate the effects of the Lorentz violating terms for a fermion field between two parallel conducting plates and analyze the modifications of the Casimir force due to the modifications of the Dirac equation. In all cases under consideration, the standard formulas for the Casimir force are modified by either multiplicative or additive correction factors, the latter case exhibiting different dependence on the distance between the plates.

12.20.Fv
11.30.Cp
vacuum energy
Lorentz violation
quantum electrodynamics
Casimir force
gauge field theory: SU(3) x SU(2) x U(1)
violation: Lorentz
force: Casimir
quantum electrodynamics

References(109)

Figures(0)

Phenomenological Gravitational Constraints on Strings and Higher Dimensional Theories

V.Alan Kostelecky
(
- Indiana U.
)
,
Stuart Samuel
(
- Indiana U.
)

- Phys.Rev.Lett. 63 (1989) 224
•
DOI:
- 10.1103/PhysRevLett.63.224

Photon and Graviton Masses in String Theories

V.Alan Kostelecky
(
- Indiana U.
)
,
Stuart Samuel
(
- City Coll., N.Y.
)

- Phys.Rev.Lett. 66 (1991) 1811-1814
•
DOI:
- 10.1103/PhysRevLett.66.1811

Spontaneous Breaking of Lorentz Symmetry in String Theory

V.Alan Kostelecky
(
- Indiana U.
)
,
Stuart Samuel
(
- City Coll., N.Y.
)

- Phys.Rev.D 39 (1989) 683
•
DOI:
- 10.1103/PhysRevD.39.683

Gravitational Phenomenology in Higher Dimensional Theories and Strings

V.Alan Kostelecky
(
- Indiana U.
)
,
Stuart Samuel
(
- Indiana U.
)

- Phys.Rev.D 40 (1989) 1886-1903,
- Phys. Rev. D40 (1989) 1886-1903 and Indiana Univ. Bloomington - IUHET-157 (89,rec.Mar.) 54 p
•
DOI:
- 10.1103/PhysRevD.40.1886

CPT and strings

V.Alan Kostelecky
(
- Indiana U.
)
,
Robertus Potting
(
- Indiana U.
)

- Nucl.Phys.B 359 (1991) 545-570
•
DOI:
- 10.1016/0550-3213(91)90071-5

Expectation values, Lorentz invariance, and CPT in the open bosonic string

V.Alan Kostelecky
(
- Indiana U.
)
,
R. Potting
(
- Algarve U.
)

- Phys.Lett.B 381 (1996) 89-96
•
e-Print:
- hep-th/9605088
•
DOI:
- 10.1016/0370-2693(96)00589-8

Lorentz symmetry breaking in Abelian vector field models with Wess-Zumino interaction

Alexander A. Andrianov
(
- St. Petersburg State U.
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- Phys.Rev.D 51 (1995) 5961-5964
•
e-Print:
- hep-th/9405147
•
DOI:
- 10.1103/PhysRevD.51.5961

Patterns of Lorentz symmetry breaking in QED by CPT odd interaction

Alexander A. Andrianov
(
- St. Petersburg State U. and
- Barcelona U.
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- Phys.Lett.B 435 (1998) 449-452
•
e-Print:
- hep-ph/9804448
•
DOI:
- 10.1016/S0370-2693(98)00823-5

Dynamical Lorentz symmetry breaking from (3+1) Axion-Wess-Zumino model

Alexander A. Andrianov
(
- St. Petersburg State U. and
- Barcelona U.
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)
,
L. Sorbo
(
- SISSA, Trieste
)

- Phys.Rev.D 59 (1999) 025002
•
e-Print:
- hep-th/9806220
•
DOI:
- 10.1103/PhysRevD.59.025002

A CPT anomaly

Frans R. Klinkhamer
(
- Bohr Inst. and
- Karlsruhe U.
)

- Nucl.Phys.B 578 (2000) 277-289
•
e-Print:
- hep-th/9912169
•
DOI:
- 10.1016/S0550-3213(00)00117-6

CPT violation and the standard model

Don Colladay
(
- Indiana U.
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 55 (1997) 6760-6774
•
e-Print:
- hep-ph/9703464
•
DOI:
- 10.1103/PhysRevD.55.6760

Lorentz violating extension of the standard model

Don Colladay
(
- Indiana U.
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 58 (1998) 116002
•
e-Print:
- hep-ph/9809521
•
DOI:
- 10.1103/PhysRevD.58.116002

Gravity, Lorentz violation, and the standard model

V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 69 (2004) 105009
•
e-Print:
- hep-th/0312310
•
DOI:
- 10.1103/PhysRevD.69.105009

Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity

Robert Bluhm
(
- Colby Coll.
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 71 (2005) 065008
•
e-Print:
- hep-th/0412320
•
DOI:
- 10.1103/PhysRevD.71.065008

Signals for Lorentz violation in post-Newtonian gravity

Quentin G. Bailey
(
- Indiana U.
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 74 (2006) 045001
•
e-Print:
- gr-qc/0603030
•
DOI:
- 10.1103/PhysRevD.74.045001

Gravity from local Lorentz violation

V.Alan Kostelecky
(
- Indiana U.
)
,
Robertus Potting
(
- Algarve U., CENTRA
)

- Gen.Rel.Grav. 37 (2005) 1675-1679,
- Int.J.Mod.Phys.D 14 (2005) 2341-2346
•
e-Print:
- gr-qc/0510124
•
DOI:
- 10.1007/s10714-005-0149-1

Overview of the SME: Implications and phenomenology of Lorentz violation

Robert Bluhm
(
- Colby Coll.
)

- Lect.Notes Phys. 702 (2006) 191-226,
•
e-Print:
- hep-ph/0506054
•
DOI:
- 10.1007/3-540-34523-X_8

Modern tests of Lorentz invariance

David Mattingly
(
- UC, Davis
)

- Living Rev.Rel. 8 (2005) 5
•
e-Print:
- gr-qc/0502097
•
DOI:
- 10.12942/lrr-2005-5

The Search for quantum gravity signals

G. Amelino-Camelia
(
- Rome U. and
- INFN, Rome
)
,
C. Lammerzahl
(
- Bremen U., ZARM
)
,
A. Macias
(
- Mexico City U., Iztapalapa
)
,
H. Muller
(
- Stanford U., Phys. Dept.
)

- AIP Conf.Proc. 758 (2005) 1, 30-80
•
e-Print:
- gr-qc/0501053
•
DOI:
- 10.1063/1.1900507

Testing Lorentz invariance violation in quantum gravity theories

Hector Vucetich
(
- La Plata Observ.
)

e-Print:
- gr-qc/0502093

Lorentz-violating electrostatics and magnetostatics

Quentin G. Bailey
(
- Indiana U.
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 70 (2004) 076006
•
e-Print:
- hep-ph/0407252
•
DOI:
- 10.1103/PhysRevD.70.076006

Radiatively induced Lorentz and CPT violation in electrodynamics

Roman Jackiw
(
- MIT, LNS
)
,
V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.Lett. 82 (1999) 3572-3575
•
e-Print:
- hep-ph/9901358
•
DOI:
- 10.1103/PhysRevLett.82.3572

Exact calculation of the radiatively induced Lorentz and CPT violation in QED

M. Perez-Victoria
(
- Barcelona, Autonoma U.
)

- Phys.Rev.Lett. 83 (1999) 2518-2521
•
e-Print:
- hep-th/9905061
•
DOI:
- 10.1103/PhysRevLett.83.2518

Lorentz and CPT violations from Chern-Simons modifications of QED

Alexander A. Andrianov
(
- St. Petersburg State U. and
- INFN, Bologna
)
,
P. Giacconi
(
- Bologna U. and
- INFN, Bologna
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- JHEP 02 (2002) 030
•
e-Print:
- hep-th/0110279
•
DOI:
- 10.1088/1126-6708/2002/02/030

On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

J. Alfaro
(
- Chile U., Catolica
)
,
A.A. Andrianov
(
- St. Petersburg State U.
)
,
M. Cambiaso
(
- Chile U., Catolica
)
,
P. Giacconi
(
- Bologna U. and
- INFN, Bologna
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- Phys.Lett.B 639 (2006) 586-590
•
e-Print:
- hep-th/0604164
•
DOI:
- 10.1016/j.physletb.2006.06.075

1-25 of 109
1
2
3
4
5
25 / page