Two loop expansion of the Schrodinger functional coupling αSF in SU(3) lattice gauge theory

被引：7

作者：

Bode, A ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS | 1998年 / 63卷

关键词：

D O I：

10.1016/S0920-5632(97)00903-1

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：

The two loop coefficient of the expansion of the Schrodinger functional coupling in terms of the lattice coupling is calculated for the SU(3) Yang-Mills theory. This coefficient is required to relate lattice data to the <(MS)over bar>-coupling. As a byproduct of the calculation, the Schrodinger functional is improved to two loop order and the three loop coefficient of the beta function in the SF-scheme is derived.

引用

收藏

页码：796 / 798

页数：3

相关论文

共 9 条

[1] UNIVERSALITY AND THE APPROACH TO THE CONTINUUM-LIMIT IN LATTICE GAUGE-THEORY [J].

DEDIVITIIS, G ;

FREZZOTTI, R ;

GUAGNELLI, M ;

LUSCHER, M ;

PETRONZIO, R ;

SOMMER, R ;

WEISZ, P ;

WOLFF, U .

NUCLEAR PHYSICS B, 1995, 437 (02) :447-470

[2] COMPUTATION OF THE RELATION BETWEEN THE BARE LATTICE COUPLING AND THE (MS)OVER-BAR COUPLING IN SU(N) GAUGE-THEORIES TO 2 LOOPS [J].

LUSCHER, M ;

WEISZ, P .

NUCLEAR PHYSICS B, 1995, 452 (1-2) :234-260

[3] 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

[4] 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

[5] COORDINATE SPACE METHODS FOR THE EVALUATION OF FEYNMAN DIAGRAMS IN LATTICE FIELD-THEORIES [J].

LUSCHER, M ;

WEISZ, P .

NUCLEAR PHYSICS B, 1995, 445 (2-3) :429-450

[6] EFFICIENT NUMERICAL TECHNIQUES FOR PERTURBATIVE LATTICE GAUGE-THEORY COMPUTATIONS [J].

LUSCHER, M ;

WEISZ, P .

NUCLEAR PHYSICS B, 1986, 266 (02) :309-356

[7]

LUSCHER M, COMMUNICATION

[8] 2-LOOP COMPUTATION OF A RUNNING COUPLING IN LATTICE YANG-MILLS THEORY [J].

NARAYANAN, R ;

WOLFF, U .

NUCLEAR PHYSICS B, 1995, 444 (1-2) :425-446

[9] THE GELL-MANN-LOW FUNCTION OF QCD IN THE 3-LOOP APPROXIMATION [J].

TARASOV, OV ;

VLADIMIROV, AA ;

ZHARKOV, AY .

PHYSICS LETTERS B, 1980, 93 (04) :429-432