LATTICE PERTURBATION-THEORY BY COMPUTER ALGEBRA - A 3-LOOP RESULT FOR THE TOPOLOGICAL SUSCEPTIBILITY

被引:17
作者
ALLES, B
CAMPOSTRINI, M
FEO, A
PANAGOPOULOS, H
机构
[1] INFN, PISA, ITALY
[2] UNIV CYPRUS, DEPT NAT SCI, NICOSIA, CYPRUS
[3] UNIV PISA, DIPARTIMENTO FIS, I-56100 PISA, ITALY
关键词
D O I
10.1016/0550-3213(94)90632-7
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
We present a scheme for the analytic computation of renormalization functions on the lattice, using a symbolic manipulation computer language. Our first nontrivial application is a new three-loop result for the topological susceptibility.
引用
收藏
页码:553 / 564
页数:12
相关论文
共 26 条
[1]   A NEW METHOD TO DETERMINE THE CHIRAL QCD GLUON CONDENSATE ON THE LATTICE [J].
ALLES, B ;
DIGIACOMO, A .
PHYSICS LETTERS B, 1992, 294 (02) :269-272
[2]   MIXING OF THE TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE WITH THE GLUON CONDENSATE [J].
ALLES, B ;
GIANNETTI, M .
PHYSICAL REVIEW D, 1991, 44 (02) :513-518
[3]  
ALLES B, 3 LOOP LATTICE FREE
[4]  
Bitar K. M., 1991, Nuclear Physics B, Proceedings Supplements, V20, P390, DOI 10.1016/0920-5632(91)90947-D
[5]   THE TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE [J].
CAMPOSTRINI, M ;
DIGIACOMO, A ;
PANAGOPOULOS, H .
PHYSICS LETTERS B, 1988, 212 (02) :206-210
[6]   SCALING PROPERTIES OF CONDENSATES IN THE 1/N EXPANSION OF LATTICE NONLINEAR SIGMA-MODELS [J].
CAMPOSTRINI, M ;
ROSSI, P .
PHYSICS LETTERS B, 1990, 242 (01) :81-88
[7]   THE TOPOLOGICAL SUSCEPTIBILITY OF THE PURE SU(3) YANG-MILLS VACUUM ON THE LATTICE [J].
CAMPOSTRINI, M ;
DIGIACOMO, A ;
GUNDUC, Y ;
LOMBARDO, MP ;
PANAGOPOULOS, H ;
TRIPICCIONE, R .
PHYSICS LETTERS B, 1990, 252 (03) :436-442
[8]   TOPOLOGICAL CHARGE, RENORMALIZATION AND COOLING ON THE LATTICE [J].
CAMPOSTRINI, M ;
DIGIACOMO, A ;
PANAGOPOULOS, H ;
VICARI, E .
NUCLEAR PHYSICS B, 1990, 329 (03) :683-697
[9]  
CREWTHER RJ, 1979, RIV NUOVO CIMENTO, V2, P8
[10]   GROUP-THEORY FOR FEYNMAN DIAGRAMS IN NON-ABELIAN GAUGE THEORIES [J].
CVITANOVIC, P .
PHYSICAL REVIEW D, 1976, 14 (06) :1536-1553