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Quantized bulk fields in the Randall-Sundrum compactification model

David J. Toms
(
- Newcastle upon Tyne U.
)

May, 2000

5 pages

Published in:

Phys.Lett.B 484 (2000) 149-153

e-Print:

hep-th/0005189 [hep-th]

DOI:

10.1016/S0370-2693(00)00618-3

View in:

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Abstract:

The quantisation of a scalar field in the five-dimensional model suggested by Randall and Sundrum is considered. Using the Kaluza-Klein reduction of the scalar field, discussed by Goldberger and Wise, we sum the infinite tower of modes to find the vacuum energy density. Dimensional regularisation is used and we compute the pole term needed for renormalisation, as well as the finite part of the energy density. Some comments are made concerning the possible self-consistent determination of the radius.

Randall-Sundrum model
dimension: 5
field theory: scalar
quantization
Kaluza-Klein model
energy: density
vacuum state: energy state
renormalization
vacuum polarization
regularization: dimensional

References(34)

Figures(0)

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- SLAC
)
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[1]

The Hierarchy problem and new dimensions at a millimeter

Nima Arkani-Hamed
(
- SLAC
)
,
Savas Dimopoulos
(
- Stanford U., Phys. Dept.
)
,
G.R. Dvali
(
- ICTP, Trieste
)

- Phys.Lett.B 429 (1998) 263-272
•
e-Print:
- hep-ph/9803315
•
DOI:
- 10.1016/S0370-2693(98)00466-3

[2]

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

[3]

Phenomenology of the Randall-Sundrum Gauge Hierarchy Model

- Phys.Rev.Lett. 84 (2000) 2080
•
e-Print:
- hep-ph/9909255
•
DOI:
- 10.1103/PhysRevLett.84.2080

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