Quick Search:
Prog. Theor. Phys. Vol. 89 No. 1 (1993) pp. 223-230
Quantum Gravity with Dynamical Torsion in Two Dimensions
Noriaki Ikeda and
Ken-Iti Izawa*
Research Institute for Mathematical Sciences,
Kyoto University, Kyoto 606-01
*Department of Physics, Kyoto University, Kyoto 606-01
(Received July 31, 1992)
Abstract:
We investigate R2 gravity with dynamical torsion in two spacetime dimensions. We propose Yang-Mills-like formulation of it which can be considered as a deformation of topological ISO(1, 1) gauge theory. Quantization on the cylindrical spacetime is performed by means of BRS formalism. We also show that the system reduces to topological abelian gauge theory in a certain parameter region.
URL :
http://ptp.ipap.jp/link?PTP/89/223/
DOI : 10.1143/PTP.89.223
References:
- C. Teitelboim, Phys. Lett. B126 (1983), 41; in Quantum Theory of Gravity, ed. S. M. Christensen (Adam Hilger, 1984).
R. Jackiw, in Quantum Theory of Gravity, ed. S. M. Christensen (Adam Hilger, 1984); Nucl. Phys. B252 (1985), 343.
M. Henneaux, Phys. Rev. Lett. 54 (1985), 959[APS].
See also M. Abe and N. Nakanishi, Int. J. Mod. Phys. A6 (1991), 3955.
- M. O. Katanaev and I. V. Volovich, JETP Lett. 43 (1986), 267; Phys. Lett. B175 (1986), 413;
Ann. of Phys. 197 (1990), 1[CrossRef].
M. O. Katanaev, Theor. Math. Phys. 80 (1989), 838; Sov. Phys. Dokl. 34 (1989), 982;
J. Math. Phys. 31 (1990), 822[AIP Scitation]; 32 (1991), 2483.
K. G. Akdeniz, A. Kizilersü and E. Rizaoǧlu, Phys. Lett. B215 (1988), 81.
K. G. Akdeniz, Ö. F. Dayi and A. Kizilersü, Mod. Phys. Lett. A7 (1992), 1757.
W. Kummer and D. J. Schwarz, Phys. Rev. D45 (1992), 3628[APS]; Nucl. Phys. B382 (1992), 171.
H. Grosse, W. Kummer, P. Prešnajder and D. J. Schwarz, J. Math. Phys. 33 (1992), 3892[CrossRef].
- T. Fukuyama and K. Kamimura, Phys. Lett. B160 (1985), 259.
K. Isler and C. A. Trugenberger, Phys. Rev. Lett. 63 (1989), 834[APS].
A. H. Chamseddine and D. Wyler, Phys. Lett. B228 (1989), 75; Nucl. Phys. B340 (1990), 595.
H. Terao, Preprint DPKU-9207.
See also D. Cangemi and R. Jackiw, Phys. Rev. Lett. 69 (1992), 233[APS].
-
For a review, D. Birmingham, M. Blau, M. Rakowski and G. Thompson, Phys. Rep. 209 (1991), 129[CrossRef].
- T. Yoneya, Phys. Lett. B149 (1984), 111.
A. M. Polyakov, Mod. Phys. Lett. A2 (1987), 893.
- T. Strobl, Preprint TUW-92-07.
- I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B102 (1981), 27;
Phys. Rev. D28 (1983), 2567[APS];
J. Math. Phys. 26 (1985), 172[CrossRef].
- T. Kugo and I. Ojima, Phys. Lett. B73 (1978), 459; Prog. Theor. Phys. Suppl. No. 66 (1979). 1.
M. Kato and K. Ogawa, Nucl. Phys. B212 (1983), 443.
N. Nakanishi and I. Ojima, Covariant Operator Formalism of Gauge Theories and Quantum Gravity (World Scientific, 1990).
-
A. A. Tseytlin, J. of Phys. A15 (1982), L105[IoP STACKS].
E. Witten, Nucl. Phys. B311 (1988/89), 46; B323 (1989), 113.
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 1077-1085
:
-
Gauge Theory Based on Quadratic Lie Algebras and 2D Gravity with Dynamical Torsion
-
Noriaki Ikeda and Ken-Iti Izawa
-
Progress of Theoretical Physics Vol. 90 No. 1 (1993) pp. 237-245
:
-
General Form of Dilaton Gravity and Nonlinear Gauge Theory
-
Noriaki Ikeda and Ken-Iti Izawa