TY - RPRT
TI - Conformal field theoretical approach to two-dimensional quantum gravity
AB - 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).
AU - Suzuki, Hiroshi [Hiroshima Univ. (Japan). Dept. of Physics]
KW - 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KW - QUANTUM GRAVITY
KW - CONFORMAL INVARIANCE
KW - TWO-DIMENSIONAL CALCULATIONS
KW - ENERGY-MOMENTUM TENSOR
KW - METRICS
KW - LAGRANGIAN FUNCTION
KW - LAGRANGIAN FIELD THEORY
KW - 662110
KW - THEORY OF FIELDS AND STRINGS
DO -
UR -
PB -
CY - Japan
PY - 1991
DA - 1991-01-01
LA - English
J2 -
C1 - Kyoto Univ., Uji (Japan). Yukawa Inst. for Theoretical Physics
C2 -
ER -