Casimir energy for de Sitter branes in bulk AdS(5) - INSPIRE

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Casimir energy for de Sitter branes in bulk AdS(5)

May, 2002

5 pages

Published in:

Phys.Lett.B 542 (2002) 289-294

e-Print:

hep-th/0205277 [hep-th]

DOI:

10.1016/S0370-2693(02)02339-0

Report number:

OU-TAP-180

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Abstract:

The vacuum energy for a massless conformally coupled scalar field in a brane world set up, corresponding to de Sitter branes in a bulk anti-de Sitter spacetime, is calculated. We use the Euclidean version of the metric which can be conformally related to a metric similar in form to the Einstein universe (S^4 times R). Employing zeta-function regularisation we evaluate the one-loop effective potential and show that the vacuum energy is zero for the one brane and non-zero for the two brane configuration. We comment on the back-reaction of this Casimir energy and on the inclusion of a mass term or non-conformal coupling.

04.50.+h
11.25.Mj
98.80.Cq
energy: Casimir
membrane model: de Sitter
field theory: scalar
massless
coupling: conformal
space-time: anti-de Sitter
dimension: 5

References(21)

Figures(0)

A Large mass hierarchy from a small extra dimension

Lisa Randall
(
- Princeton U. and
- MIT
)
,
Raman Sundrum
(
- Boston U.
)

- Phys.Rev.Lett. 83 (1999) 3370-3373
•
e-Print:
- hep-ph/9905221
•
DOI:
- 10.1103/PhysRevLett.83.3370

An Alternative to compactification

Lisa Randall
(
- Princeton U. and
- MIT, LNS
)
,
Raman Sundrum
(
- Boston U.
)

- Phys.Rev.Lett. 83 (1999) 4690-4693
•
e-Print:
- hep-th/9906064
•
DOI:
- 10.1103/PhysRevLett.83.4690

The Einstein equation on the 3-brane world

Tetsuya Shiromizu
(
- Cambridge U., DAMTP and
- Tokyo U. and
- Tokyo U., RESCEU
)
,
Kei-ichi Maeda
(
- Newton Inst. Math. Sci., Cambridge and
- Waseda U.
)
,
Misao Sasaki
(
- Newton Inst. Math. Sci., Cambridge and
- Tokyo U. and
- Osaka U.
)

- Phys.Rev.D 62 (2000) 024012
•
e-Print:
- gr-qc/9910076
•
DOI:
- 10.1103/PhysRevD.62.024012

Gravity in the brane world

Jaume Garriga
(
- Barcelona, IFAE and
- Newton Inst. Math. Sci., Cambridge
)
,
Takahiro Tanaka
(
)

- Phys.Rev.Lett. 84 (2000) 2778-2781
•
e-Print:
- hep-th/9911055
•
DOI:
- 10.1103/PhysRevLett.84.2778

Brane world inflation without inflaton on the brane

- Phys.Rev.D 63 (2001) 044015
•
e-Print:
- gr-qc/0010035
•
DOI:
- 10.1103/PhysRevD.63.044015

Quantum effects, brane tension and large hierarchy in the brane world

Shinji Mukohyama
(
- Victoria U.
)

- Phys.Rev.D 63 (2001) 044008
•
e-Print:
- hep-th/0007239
•
DOI:
- 10.1103/PhysRevD.63.044008

(De)stabilization of an extra dimension due to a Casimir force

Ralf Hofmann
(
- Minnesota U.
)
,
Panagiota Kanti
(
- Pisa, Scuola Normale Superiore
)
,
Maxim Pospelov
(
- Minnesota U.
)

- Phys.Rev.D 63 (2001) 124020
•
e-Print:
- hep-ph/0012213
•
DOI:
- 10.1103/PhysRevD.63.124020

Bulk versus boundary (gravitational Casimir) effects in quantum creation of inflationary brane world universe

Shin'ichi Nojiri
(
- Japan, Natl. Defence Academy
)
,
Sergei D. Odintsov
(
- Guanajuato U., FIMEE
)
,
Sergio Zerbini
(
- Trento U. and
- INFN, Trento
)

- Class.Quant.Grav. 17 (2000) 4855-4866
•
e-Print:
- hep-th/0006115
•
DOI:
- 10.1088/0264-9381/17/23/305

Zero point energy and analytic regularizations

B.F. Svaiter
(
- Rio de Janeiro, IMPA
)
,
N.F. Svaiter
(
- Tufts U.
)

- Phys.Rev.D 47 (1993) 4581-4585
•
DOI:
- 10.1103/PhysRevD.47.4581

Brane world creation and black holes

Jaume Garriga
(
- Barcelona, IFAE
)
,
Misao Sasaki
(
- Osaka U. and
- Tokyo U.
)

- Phys.Rev.D 62 (2000) 043523
•
e-Print:
- hep-th/9912118
•
DOI:
- 10.1103/PhysRevD.62.043523

- Prog.Theor.Phys. 105 59

Radion effective potential in the brane world

Jaume Garriga
(
- Barcelona, IFAE
)
,
Oriol Pujolas
(
- Barcelona, IFAE
)
,
Takahiro Tanaka
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 605 (2001) 192-214
•
e-Print:
- hep-th/0004109
•
DOI:
- 10.1016/S0550-3213(01)00144-4

Quantum stabilization of compactified AdS(5)

Walter D. Goldberger
(
- Caltech
)
,
Ira Z. Rothstein
(
- Caltech and
- Carnegie Mellon U.
)

- Phys.Lett.B 491 (2000) 339-344
•
e-Print:
- hep-th/0007065
•
DOI:
- 10.1016/S0370-2693(00)01047-9

Quantum Vacuum Energy in General Relativity

L.H. Ford
(
- Wisconsin U., Milwaukee
)

- Phys.Rev.D 11 (1975) 3370-3377
•
DOI:
- 10.1103/PhysRevD.11.3370

Casimir energy of the massless conformal scalar field on S(2) by the point splitting method

- J.Math.Phys. 38 (1997) 5240-5255
•
DOI:
- 10.1063/1.531939

- J.Math.Phys. 31 170

Rigorous Extension of the Proof of Zeta Function Regularization

E. Elizalde
(
- Barcelona U.
)
,
A. Romeo
(
- Barcelona U.
)

- Phys.Rev.D 40 (1989) 436
•
DOI:
- 10.1103/PhysRevD.40.436

Further functional determinants

J.S. Dowker
(
- Manchester U.
)
,
J.S. Apps
(
- Manchester U.
)

- Class.Quant.Grav. 12 (1995) 1363-1383
•
e-Print:
- hep-th/9502015
•
DOI:
- 10.1088/0264-9381/12/6/005

Moduli effective action in warped brane world compactifications

Jaume Garriga
(
- Barcelona U., ECM and
- Barcelona, IFAE and
- Tufts U. and
- Kyoto U., Yukawa Inst., Kyoto
)
,
Oriol Pujolas
(
- Barcelona, IFAE
)
,
Takahiro Tanaka
(
- Barcelona, IFAE and
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 655 (2003) 127-169
•
e-Print:
- hep-th/0111277
•
DOI:
- 10.1016/S0550-3213(03)00065-8

Quantum (in)stability of a brane world AdS(5) universe at nonzero temperature

- Nucl.Phys.B 599 (2001) 305-318
•
e-Print:
- hep-th/0010205
•
DOI:
- 10.1016/S0550-3213(01)00026-8

Cosmological solutions on compactified AdS(5) with a thermal bulk

I.Z. Rothstein
(
- Carnegie Mellon U.
)

- Phys.Rev.D 64 (2001) 084024
•
e-Print:
- hep-th/0106022
•
DOI:
- 10.1103/PhysRevD.64.084024