Geometric holography, the renormalization group and the c-theorem

被引:142
作者
Alvarez, E [1 ]
Gómez, C
机构
[1] CERN, TH, CH-1211 Geneva 23, Switzerland
[2] Univ Autonoma Madrid, Inst Fis Teor, CSIC, Ctr Fis Miguel Catalan,Unidad Invest Asociada, E-28049 Madrid, Spain
[3] Univ Autonoma Madrid, Dept Fis Teor, E-28049 Madrid, Spain
[4] CSIC, IMAFF, E-28006 Madrid, Spain
关键词
renormalization group; holography;
D O I
10.1016/S0550-3213(98)00752-4
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
In this paper the whole geometrical set-up giving a conformally invariant holographic projection of a diffeomorphism invariant bulk theory is clarified. By studying the renormalization group flow along null geodesic congruences a holographic version of Zamolodchikov's c-theorem is proven. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:441 / 460
页数:20
相关论文
共 35 条
[1]  
ALVAREZ E, HEPTH9806075
[2]  
[Anonymous], HEPTH9711200
[3]  
[Anonymous], EXACT SOLUTIONS EINS
[4]  
ASHTEKAR A, 1984, CLASSICAL QUANT GRAV, V1, P639
[5]   QUANTUM FIELD-THEORY IN ANTI-DE SITTER SPACE-TIME [J].
AVIS, SJ ;
ISHAM, CJ ;
STOREY, D .
PHYSICAL REVIEW D, 1978, 18 (10) :3565-3576
[6]   BLACK-HOLE IN 3-DIMENSIONAL SPACETIME [J].
BANADOS, M ;
TEITELBOIM, C ;
ZANELLI, J .
PHYSICAL REVIEW LETTERS, 1992, 69 (13) :1849-1851
[7]  
BARBON JLF, HEPTH9805143
[8]   ENTROPY BOUNDS AND BLACK-HOLE REMNANTS [J].
BEKENSTEIN, JD .
PHYSICAL REVIEW D, 1994, 49 (04) :1912-1921
[9]   C-THEOREM AND SPECTRAL REPRESENTATION [J].
CAPPELLI, A ;
FRIEDAN, D ;
LATORRE, JI .
NUCLEAR PHYSICS B, 1991, 352 (03) :616-670
[10]   IS THERE A C-THEOREM IN 4 DIMENSIONS [J].
CARDY, JL .
PHYSICS LETTERS B, 1988, 215 (04) :749-752