SCHEME INDEPENDENCE AND THE EXACT RENORMALIZATION-GROUP

被引:116
作者
BALL, RD
HAAGENSEN, PE
LATORRE, JI
MORENO, E
机构
[1] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND
[2] MCGILL UNIV, DEPT PHYS, MONTREAL, PQ H3A 2T8, CANADA
[3] UNIV BARCELONA, FAC FIS, DEPT ESTRUCTURA & CONSTITUENTS MAT, E-08028 BARCELONA, SPAIN
关键词
D O I
10.1016/0370-2693(95)00025-G
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compute critical exponents in a Z(2) symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.
引用
收藏
页码:80 / 88
页数:9
相关论文
共 21 条
[1]   CRITICAL EXPONENTS WITHOUT THE EPSILON EXPANSION [J].
ALFORD, M .
PHYSICS LETTERS B, 1994, 336 (02) :237-242
[2]  
BALL RD, 1994, ANN PHYS, V164, P117
[3]   WILSON RENORMALIZATION-GROUP ANALYSIS OF THEORIES WITH SCALARS AND FERMIONS [J].
CLARK, TE ;
HAERI, B ;
LOVE, ST .
NUCLEAR PHYSICS B, 1993, 402 (03) :628-656
[4]   FLOW EQUATIONS FOR THE HIGGS TOP SYSTEM [J].
ELLWANGER, U ;
VERGARA, L .
NUCLEAR PHYSICS B, 1993, 398 (01) :52-68
[5]   GRADIENT EXPANSION BASED ON THE PHYSICAL RG BRANCH [J].
FILIPPOV, AE ;
RADIEVSKY, AV .
PHYSICS LETTERS A, 1992, 169 (03) :195-198
[6]   ON THE PHYSICAL BRANCH OF THE EXACT (LOCAL) RG-EQUATION [J].
FILIPPOV, AE ;
BREUS, SA .
PHYSICS LETTERS A, 1991, 158 (6-7) :300-306
[7]   NONPERTURBATIVE RENORMALIZATION-GROUP CALCULATIONS FOR CONTINUUM SPIN SYSTEMS [J].
GOLNER, GR .
PHYSICAL REVIEW B, 1986, 33 (11) :7863-7866
[8]   GRADIENT FLOWS FROM AN APPROXIMATION TO THE EXACT RENORMALIZATION-GROUP [J].
HAAGENSEN, PE ;
KUBYSHIN, Y ;
LATORRE, JI ;
MORENO, E .
PHYSICS LETTERS B, 1994, 323 (3-4) :330-338
[9]   RENORMALIZATION-GROUP STUDY OF SCALAR FIELD-THEORIES [J].
HASENFRATZ, A ;
HASENFRATZ, P .
NUCLEAR PHYSICS B, 1986, 270 (04) :687-701
[10]   BETA-FUNCTIONS AND THE EXACT RENORMALIZATION-GROUP [J].
HUGHES, J ;
LIU, J .
NUCLEAR PHYSICS B, 1988, 307 (01) :183-197