Revealing topological structure in the SU(2) vacuum

被引:62
作者
DeGrand, T [1 ]
Hasenfratz, A [1 ]
Kovacs, TG [1 ]
机构
[1] Univ Colorado, Dept Phys, Boulder, CO 80309 USA
关键词
D O I
10.1016/S0550-3213(98)00181-3
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
In this paper we derive a simple parametrization of the cycling method developed by us in our earlier work. The new method, called renormalization group (RG) mapping, consists of a series of carefully tuned APE-smearing steps. We study the relation between cycling and RG mapping. We also investigate in detail how smooth instantons and instanton-anti-instanton pairs behave under the RG mapping transformation. We use the RG-mapping technique to study the topological susceptibility and instanton size distribution of SU(2) gauge theory. We find scaling in both quantities in a wide range of coupling values. Our result for the topological susceptibility, chi(1/4) = 220(6) MeV, agrees with our earlier results. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:301 / 322
页数:22
相关论文
共 34 条
[1]   GLUEBALL MASSES AND STRING TENSION IN LATTICE QCD [J].
ALBANESE, M ;
COSTANTINI, F ;
FIORENTINI, G ;
FLORE, F ;
LOMBARDO, MP ;
TRIPICCIONE, R ;
BACILIERI, P ;
FONTI, L ;
GIACOMELLI, P ;
REMIDDI, E ;
BERNASCHI, M ;
CABIBBO, N ;
MARINARI, E ;
PARISI, G ;
SALINA, G ;
CABASINO, S ;
MARZANO, F ;
PAOLUCCI, P ;
PETRARCA, S ;
RAPUANO, F ;
MARCHESINI, P ;
RUSACK, R .
PHYSICS LETTERS B, 1987, 192 (1-2) :163-169
[2]   RENORMALIZATION AND TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE - SU(2) YANG-MILLS THEORY [J].
ALLES, B ;
CAMPOSTRINI, M ;
DIGIACOMO, A ;
GUNDUC, Y ;
VICARI, E .
PHYSICAL REVIEW D, 1993, 48 (05) :2284-2289
[3]  
ALLES B, HEPLAT9706016
[4]   OBSERVING LONG COLOR FLUX TUBES IN SU(2) LATTICE GAUGE-THEORY [J].
BALI, GS ;
SCHLICHTER, C ;
SCHILLING, K .
PHYSICAL REVIEW D, 1995, 51 (09) :5165-5198
[5]   Instantons and the fixed point topological charge in the two-dimensional O(3) sigma model [J].
Blatter, M ;
Burkhalter, R ;
Hasenfratz, P ;
Niedermayer, F .
PHYSICAL REVIEW D, 1996, 53 (02) :923-932
[6]  
BLATTER M, 1995, NUCL PHYS B S, V42, P799
[7]   TOWARDS THE CONTINUUM-LIMIT OF SU (2) LATTICE GAUGE-THEORY [J].
BOOTH, SP ;
BOWLER, KC ;
HENTY, DS ;
KENWAY, RD ;
PENDLETON, BJ ;
RICHARDS, DG ;
SIMPSON, AD ;
IRVING, AC ;
MCKERRELL, A ;
MICHAEL, C ;
STEPHENSON, PW ;
TEPER, M ;
DECKER, K .
PHYSICS LETTERS B, 1992, 275 (3-4) :424-428
[8]   Fixed point action and topology in the CP3 model [J].
Burkhalter, R .
PHYSICAL REVIEW D, 1996, 54 (06) :4121-4130
[9]   Improved lattice operators: Case of the topological charge density [J].
Christou, C ;
DiGiacomo, A ;
Panagopoulos, H ;
Vicari, E .
PHYSICAL REVIEW D, 1996, 53 (05) :2619-2624
[10]   Topology of the SU(2) vacuum: A lattice study using improved cooling [J].
deForcrand, P ;
Perez, MG ;
Stamatescu, IO .
NUCLEAR PHYSICS B, 1997, 499 (1-2) :409-449