SU(N) gauge theories in 2+1 dimensions:: Further results -: art. no. 097502

被引:76
作者
Lucini, B [1 ]
Teper, M [1 ]
机构
[1] Univ Oxford, Oxford OX1 3NP, England
来源
PHYSICAL REVIEW D | 2002年 / 66卷 / 09期
关键词
D O I
10.1103/PhysRevD.66.097502
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the string tension and part of the mass spectrum of SU(4) and SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine these new results with older results for N-c=2,...,5 so as to obtain more accurate extrapolations to N-c=infinity. The qualitative conclusions of the earlier work are unchanged: SU(N-c) theories in 2+1 dimensions are linearly confining as N-c-->infinity; the limit is achieved by keeping g(2)N(c) fixed; SU(3), and even SU(2), are "close" to SU(infinity). We obtain more convincing evidence than before that the leading large-N-c correction is O(1/N-c(2)). We look for the multiplication of states that one expects in simple flux loop models of glueballs, but find no evidence for this.
引用
收藏
页数:4
相关论文
共 16 条
[1]   Spectrum of the gauge Ising model in three dimensions [J].
Caselle, M ;
Hasenbusch, M ;
Provero, P .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 :616-618
[2]  
Caselle M, 2000, PHYS REV D, V62, DOI 10.1103/PhysRevD.62.017901
[3]   Study of large-N Yang-Mills theory in 2+1 dimensions -: art. no. 076004 [J].
Dalley, S ;
van de Sande, B .
PHYSICAL REVIEW D, 2001, 63 (07)
[4]   THE STRING AND ITS TENSION IN SU(3) LATTICE GAUGE-THEORY - TOWARDS DEFINITIVE RESULTS [J].
DEFORCRAND, P ;
SCHIERHOLZ, G ;
SCHNEIDER, H ;
TEPER, M .
PHYSICS LETTERS B, 1985, 160 (1-3) :137-143
[5]   FLUX-TUBE MODEL FOR HADRONS IN QCD [J].
ISGUR, N ;
PATON, J .
PHYSICAL REVIEW D, 1985, 31 (11) :2910-2929
[6]   String models of glueballs and the spectrum of SU(N) gauge theories in 2+1 dimensions -: art. no. 036006 [J].
Johnson, RW ;
Teper, MJ .
PHYSICAL REVIEW D, 2002, 66 (03)
[7]   Planar Yang-Mills theory: Hamiltonian, regulators and mass gap [J].
Karabali, D ;
Kim, CJ ;
Nair, VP .
NUCLEAR PHYSICS B, 1998, 524 (03) :661-694
[8]   Gauge invariance and mass gap in (2+1)-dimensional Yang-Mills theory [J].
Karabali, D ;
Nair, VP .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (06) :1161-1171
[9]   A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions [J].
Karabali, D ;
Nair, VP .
NUCLEAR PHYSICS B, 1996, 464 (1-2) :135-152
[10]  
Lucini B, 2001, PHYS REV D, V64, DOI 10.1103/PhysRevD.64.105019