FROM CONTINUUM TO LATTICE THEORY VIA DEFORMATION OF THE DIFFERENTIAL-CALCULUS

被引:25
作者
DIMAKIS, A
MULLERHOISSEN, F
STRIKER, T
机构
[1] Institut für Theoretische Physik, W-3400 Göttingen
关键词
D O I
10.1016/0370-2693(93)90761-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is shown that a lattice (gauge) theory can be obtained from a continuum theory via deformation of the standard differential calculus in such a way that functions and differentials no longer commute. Any lagrangian for a continuum theory which can be expressed in terms of differential forms is also defined for the deformed differential calculus. Using an integral which is naturally associated with the deformed differential calculus, one obtains an action for a lattice theory.
引用
收藏
页码:141 / 144
页数:4
相关论文
共 9 条
[1]  
CONNES A, 1990, GEOMETRIE COMMUTATIV
[2]  
CONNES A, 1986, PUBL MATH IHES, V62, P257
[3]  
Coquereaux R., 1990, J GEOM PHYS, V6, P425
[4]  
CREUTZ M., 1983, QUARKS GLUONS LATTIC
[5]  
DIMAKIS A, GOETTP4492 PREPR
[6]  
DROUFFE JM, 1978, PHYS REP, V38, P134
[7]  
KOGUT JB, 1983, REV MOD PHYS, V55, P785
[8]   CONFINEMENT OF QUARKS [J].
WILSON, KG .
PHYSICAL REVIEW D, 1974, 10 (08) :2445-2459
[9]   DIFFERENTIAL-CALCULUS ON COMPACT MATRIX PSEUDOGROUPS (QUANTUM GROUPS) [J].
WORONOWICZ, SL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (01) :125-170