Quantum Liouville field theory as solution of a flow equation

被引：36
作者：
Reuter, M [1 ]
Wetterich, C [1 ]
机构：
[1] UNIV HEIDELBERG, INST THEORET PHYS, D-69120 HEIDELBERG, GERMANY
来源：
NUCLEAR PHYSICS B | 1997年 / 506卷 / 1-2期
关键词：
D O I：
10.1016/S0550-3213(97)00447-1
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
A general framework for the Weyl-invariant quantization of Liouville field theory by means of an exact renormalization group equation is proposed. This renormalization group, or flow equation, describes the scale dependence of the effective average action which has a built-in infrared cutoff. For c < 1 it is solved approximately by a truncation of the space of action functionals. We derive the Ward identities associated to Weyl transformations in the presence of the infrared cutoff. They are used to select a specific universality class for the renormalization group trajectory which is found to connect two conformal field theories with central charges 25-c and 26-c, respectively. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：483 / 520
页数：38
相关论文
共 102 条
[21]   CONFORMAL FIELD-THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE [J].
DAVID, F .
MODERN PHYSICS LETTERS A, 1988, 3 (17) :1651-1656
[22]   EQUIVALENCE OF LIOUVILLE THEORY AND 2-D QUANTUM-GRAVITY [J].
DHOKER, E .
MODERN PHYSICS LETTERS A, 1991, 6 (09) :745-767
[23]   2-D QUANTUM-GRAVITY AND LIOUVILLE THEORY [J].
DHOKER, E ;
KURZEPA, PS .
MODERN PHYSICS LETTERS A, 1990, 5 (18) :1411-1421
[24]   CLASSICAL AND QUANTAL LIOUVILLE FIELD-THEORY [J].
DHOKER, E ;
JACKIW, R .
PHYSICAL REVIEW D, 1982, 26 (12) :3517-3542
[25]  
DHOKER ED, 1991, UCLA91TEP35
[26]   MEAN FIELD-THEORY, TOPOLOGICAL FIELD-THEORY, AND MULTIMATRIX MODELS [J].
DIJKGRAAF, R ;
WITTEN, E .
NUCLEAR PHYSICS B, 1990, 342 (03) :486-522
[27]   CONFORMAL FIELD-THEORY AND 2-D QUANTUM-GRAVITY [J].
DISTLER, J ;
KAWAI, H .
NUCLEAR PHYSICS B, 1989, 321 (02) :509-527
[28]   2D QUANTUM-GRAVITY, TOPOLOGICAL FIELD-THEORY AND THE MULTICRITICAL MATRIX MODELS [J].
DISTLER, J .
NUCLEAR PHYSICS B, 1990, 342 (03) :523-538
[29]   ON GRAVITATIONAL DRESSING OF RENORMALIZATION-GROUP BETA-FUNCTIONS BEYOND LOWEST ORDER OF PERTURBATION-THEORY [J].
DORN, H .
PHYSICS LETTERS B, 1995, 343 (1-4) :81-86
[30]   ANALYSIS OF ALL DIMENSIONFUL PARAMETERS RELEVANT IN GRAVITATIONAL DRESSING OF CONFORMAL THEORIES [J].
DORN, H ;
OTTO, HJ .
PHYSICS LETTERS B, 1992, 280 (3-4) :204-212
12345678910