Conformal field theoretical approach to two-dimensional quantum gravity
Suzuki, Hiroshi [Hiroshima Univ. (Japan). Dept. of Physics]
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM GRAVITY; CONFORMAL INVARIANCE; TWO-DIMENSIONAL CALCULATIONS; ENERGY-MOMENTUM TENSOR; METRICS; LAGRANGIAN FUNCTION; LAGRANGIAN FIELD THEORY; 662110; THEORY OF FIELDS AND STRINGS
A conformal (or Weyl) mode of two-dimensional gravity coupled to conformally invariant matter, which is a gauge degree of freedom in the classical level, becomes dynamical through the conformal (or Weyl) anomaly. We consider the BRS quantization of the above system in the conformal gauge. As a practical approach which enables us to do explicit calculations, we reduce the BRS invariant path integral measure for the conformal mode to the naive one by including a one-loop renormalization effect. Since the two-dimensional metric is locally conformally flat, the resulting effective theory is constructed in a flat space-time. We also construct tensorial operators (BRS, ghost number current and the energy momentum tensor) in the effective theory in a flat space-time based on anomalous Ward identities, i.e., trace, BRS and ghost number anomalies. Then we show that the effective theory has desired properties by calculating the operator product expansions. For example, we see that the total central charge of the Virasoro algebra vanishes. Our result forms a basis of a conformal field theoretical approach to two-dimensional quantum gravity and it has applications to a theory of non-critical strings. (author).
Kyoto Univ., Uji (Japan). Yukawa Inst. for Theoretical Physics
OSTI; NTIS (US Sales Only); INIS
Japan
1991-01-01
English
Technical Report
Other Information: PBD: Jan 1991
Medium: X; Size: 35 p.
ON: DE92750831
YITP/U-91-7
Other: ON: DE92750831; TRN: JP9111022
JPN; SCA: 662110; PA: JPN-91:011022; SN: 92000630438
2008-02-12
10108980