THE SCHRODINGER FUNCTIONAL - A RENORMALIZABLE PROBE FOR NON-ABELIAN GAUGE-THEORIES

被引:377
作者
LUSCHER, M
NARAYANAN, R
WEISZ, P
WOLFF, U
机构
[1] MAX PLANCK INST PHYS & ASTROPHYS, W-8000 MUNICH 40, GERMANY
[2] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND
关键词
D O I
10.1016/0550-3213(92)90466-O
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
Following Symanzik we argue that the Schrodinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counterterms are required. The Schrodinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schrodinger functional is carried through to one-loop order.
引用
收藏
页码:168 / 228
页数:61
相关论文
共 74 条
[1]   THE BACKGROUND FIELD METHOD BEYOND ONE LOOP [J].
ABBOTT, LF .
NUCLEAR PHYSICS B, 1981, 185 (01) :189-203
[2]  
[Anonymous], 1965, DYNAMICAL THEORY GRO
[3]  
[Anonymous], 1985, ASPECTS SYMMETRY SEL, DOI DOI 10.1017/CBO9780511565045
[4]   METHOD OF GAUGE-INVARIANT REGULARIZATION [J].
ASHMORE, JF .
LETTERE AL NUOVO CIMENTO, 1972, 4 (08) :289-+
[5]   DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .2. ELECTROMAGNETIC FIELD - RIEMANNIAN SPACES [J].
BALIAN, R ;
BLOCH, C .
ANNALS OF PHYSICS, 1971, 64 (01) :271-&
[6]   DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .1. 3-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE [J].
BALIAN, R ;
BLOCH, C .
ANNALS OF PHYSICS, 1970, 60 (02) :401-&
[7]   PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS [J].
BELAVIN, AA ;
POLYAKOV, AM ;
SCHWARTZ, AS ;
TYUPKIN, YS .
PHYSICS LETTERS B, 1975, 59 (01) :85-87
[8]   QUANTUM FLUCTUATIONS OF PSEUDOPARTICLES [J].
BELAVIN, AA ;
POLYAKOV, AM .
NUCLEAR PHYSICS B, 1977, 123 (03) :429-444
[9]  
BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20
[10]   STRUCTURE OF GAUGE THEORY VACUUM [J].
CALLAN, CG ;
DASHEN, RF ;
GROSS, DJ .
PHYSICS LETTERS B, 1976, 63 (03) :334-340