1-N EXPANSION IN TWO-DIMENSIONAL LATTICE GAUGE-THEORY

被引:47
作者
GOLDSCHMIDT, YY
机构
[1] Commissariat à l'Énergie Atomique, Division de la Physique, CEN-Saclay, 91190 Gif-Sur-Yvette
关键词
D O I
10.1063/1.524600
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use the method of orthonormal polynomials to investigate the large N limit of the two-dimensional lattice gauge theory. The 1/N2 and 1/N4 corrections to the vacuum energy and the expectation value of the Wilson loop operator are calculated in the low temperature phase (γ ≡g2 N < 2). These corrections diverge at the transition point. In the high temperature phase we show that there are only corrections which fall exponentially as N becomes large, and hence there are no 1/N corrections in this phase. © 1980 American Institute of Physics.
引用
收藏
页码:1842 / 1850
页数:9
相关论文
共 13 条
[1]   GAUGE FIXING AND MASS RENORMALIZATION IN LATTICE GAUGE THEORY [J].
BAAQUIE, BE .
PHYSICAL REVIEW D, 1977, 16 (08) :2612-2627
[2]  
BARS I, 1979, IAS PREPRINT
[3]  
BESSIS D, 1979, DPHT7923 CEN SACL PR
[4]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[5]  
GROSS DJ, 1979, PREPRINT
[6]  
Hansen E. R., 1975, TABLE SERIES PRODUCT
[7]  
ITZYKSON C, 1979, DPHT7982 CEN SACL PR
[8]  
MEHTA ML, 1979, DPHT12479 CEN SACL P
[9]   CORRELATIONS AND SPONTANEOUS MAGNETIZATION OF 2-DIMENSIONAL ISING MODEL [J].
MONTROLL, EW ;
POTTS, RB ;
WARD, JC .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :308-&
[10]  
PARISI G, UNPUBLISHED