Quick Search:
Prog. Theor. Phys. Vol. 102 No. 1 (1999) pp. 181-195
Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
Wataru Souma*)
Department of Physics,
Faculty of Integrated Human Studies
Kyoto University, Kyoto 606-8501, Japan
(Received January 26, 1999)
Abstract:
The non-trivial ultraviolet fixed point in quantum gravity
is calculated
by means of the exact renormalization group equation
in d-dimensions (2≃d≤4).
It is shown that the ultraviolet non-Gaussian fixed point which is
expected from the perturbativelly ε-expanded calculations
in 2+ε gravity theory remains in d=4.
Hence it is possible that quantum gravity is an asymptotically safe
theory and renormalizable in 2<d.
URL :
http://ptp.ipap.jp/link?PTP/102/181/
DOI : 10.1143/PTP.102.181
References:
- S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, ed. S. Hawking and W. Israel (Cambridge, Eng., Cambridge Univ. Press, 1979), p. 790.
- H. Kawai and M. Ninomiya, Nucl. Phys. B336 (1990), 115.
I. Jack and D. R. T. Jones, Nucl. Phys. B358 (1991), 695.
- H. Kawai, Y. Kitazawa and M. Ninomiya, Nucl. Phys. B393 (1993), 280; B404 (1993), 684.
T. Aida, H. Kawai, Y. Kitazawa and M. Ninomiya, Nucl. Phys. B427 (1994), 158.
T. Aida, Y. Kitazawa, J. Nishimura and A. Tsuchiya, Nucl. Phys. B444 (1995), 353.
-
K. G. Wilson and J. Kogut, Phys. Rep. 12 (1974), 75[CrossRef].
F. Wegner and A. Houghton, Phys. Rev. A8 (1973), 401[APS].
J. Polchinski, Nucl. Phys. B231 (1984), 261.
- K.-I. Aoki, K. Morikawa, W. Souma, J.-I. Sumi and H. Terao, Prog. Theor. Phys. 95 (1996), 409[PTP].
-
M. Reuter, Phys. Rev. D57 (1998), 971[APS].
- C. Wetterich, Phys. Lett. B301 (1993), 90; Z. Phys. C60 (1993), 461.
- W. Souma, in preparation.
-
A. Bytsenko, L. Granda and S. Odintsov, JETP. Lett. 65 (1997), 600[AIP Scitation].
L. Granda and S. Odintsov, Grav. Cosmol. 4 (1998), 85.
- S. Feikenberg and S. Odintsov, Int. J. Mod. Phys. A13 (1998), 607.
-
D. Dou and R. Percacci, Class. Quant. Grav. 15 (1998), 3449[CrossRef].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 111 No. 3 (2004) pp. 413-432
:
-
Maximal Locality and Predictive Power in Higher-Dimensional, Compactified Field Theories
-
Jisuke Kubo and Masanori Nunami