Nahomi Kan 1 and Kiyoshi Shiraishi 2
1
Graduate School of Science and Engineering, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan
2
Faculty of Science, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan
b1834@sty.cc.yamaguchi-u.ac.jp shiraish@po.cc.yamaguchi-u.ac.jp
Classical and Quantum Gravity Create an alert RSS this journal
Nahomi Kan and Kiyoshi Shiraishi 2003 Class. Quantum Grav. 20 4965
Beginning with the Pauli–Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbour 'theory spaces' lead to a discrete mass spectrum. Our model coincides with the Kaluza–Klein theory whose fifth dimension is latticized. We evaluate one-loop vacuum energy in models with a circular latticized extra dimension as well as with compact continuous dimensions. We find that the vacuum energy can take a positive value, if the dimension of the continuous spacetime is 6, 10, .... Moreover, since the amount of vacuum energy can be an arbitrary small value depending on the choice of parameters in the model, our models are useful for explaining the small positive dark energy in the present universe.
04.50.-h Higher-dimensional gravity and other theories of gravity
83E15 Kaluza-Klein and other higher-dimensional theories
83C27 Lattice gravity, Regge calculus and other discrete methods
Issue 23 (7 December 2003)
Received 28 February 2003
Published 17 October 2003
Nahomi Kan and Kiyoshi Shiraishi 2003 Class. Quantum Grav. 20 4965
J Kawahara et al 2003 Plasma Sources Sci. Technol. 12 S80
A C Searle et al 2002 Class. Quantum Grav. 19 1465
S Guha and P K Kaw 1968 J. Phys. D: Appl. Phys. 1 193
John B Boffard et al 2004 J. Phys. D: Appl. Phys. 37 R143