Two-loop computation of the Schrodinger functional in pure SU(3) lattice gauge theory

被引:36
作者
Bode, A
Wolff, U
Weisz, P
机构
[1] Humboldt Univ, Inst Phys, D-10099 Berlin, Germany
[2] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany
关键词
running coupling; lattice QCD; Schrodinger functional;
D O I
10.1016/S0550-3213(98)00772-X
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 compute the Schrodinger functional (SF) for the case of pure SU(3) gauge theory at two-loop order in lattice perturbation theory. This allows us to extract the three-loop p-function in the SF scheme. These results are required to compute the running coupling, the Lambda-parameter and quark masses by finite size techniques with negligible systematic errors, In addition, we can now implement two-loop O(a) improvement in simulations and extend and study series in alternative ("tadpole-improved'') bare couplings. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:491 / 499
页数:9
相关论文
共 16 条
[1]   Two loop expansion of the Schrodinger functional coupling αSF in SU(3) lattice gauge theory [J].
Bode, A .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 :796-798
[2]  
BODE A, 1998, THESIS HUMBOLDT U
[3]   Non-perturbative quark mass renormalization [J].
Capitani, S ;
Guagnelli, M ;
Luscher, M ;
Sint, S ;
Sommer, R ;
Weisz, P ;
Wittig, H .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 :153-158
[4]  
CAPITANI S, HEPLAT9810063
[5]   Precision computation of a low-energy reference scale in quenched lattice QCD [J].
Guagnelli, M ;
Sommer, R ;
Wittig, H .
NUCLEAR PHYSICS B, 1998, 535 (1-2) :389-402
[6]   VIABILITY OF LATTICE PERTURBATION-THEORY [J].
LEPAGE, GP ;
MACKENZIE, PB .
PHYSICAL REVIEW D, 1993, 48 (05) :2250-2264
[7]   A PRECISE DETERMINATION OF THE RUNNING COUPLING IN THE SU(3) YANG-MILLS THEORY [J].
LUSCHER, M ;
SOMMER, R ;
WEISZ, P ;
WOLFF, U .
NUCLEAR PHYSICS B, 1994, 413 (1-2) :481-502
[8]   THE SCHRODINGER FUNCTIONAL - A RENORMALIZABLE PROBE FOR NON-ABELIAN GAUGE-THEORIES [J].
LUSCHER, M ;
NARAYANAN, R ;
WEISZ, P ;
WOLFF, U .
NUCLEAR PHYSICS B, 1992, 384 (1-2) :168-228
[9]   2-LOOP RELATION BETWEEN THE BARE LATTICE COUPLING AND THE (MS)OVER-BAR COUPLING IN PURE SU(N) GAUGE-THEORIES [J].
LUSCHER, M ;
WEISZ, P .
PHYSICS LETTERS B, 1995, 349 (1-2) :165-169
[10]   EFFICIENT NUMERICAL TECHNIQUES FOR PERTURBATIVE LATTICE GAUGE-THEORY COMPUTATIONS [J].
LUSCHER, M ;
WEISZ, P .
NUCLEAR PHYSICS B, 1986, 266 (02) :309-356