The spectrum of the 2+1-dimensional gauge Ising model

被引:47
作者
Agostini, V [1 ]
Carlino, G [1 ]
Caselle, M [1 ]
Hasenbusch, M [1 ]
机构
[1] HUMBOLDT UNIV BERLIN,INST PHYS,D-10099 BERLIN,GERMANY
关键词
D O I
10.1016/S0550-3213(96)00539-1
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
We present a high precision Monte Carlo study of the spectrum of the Z(2) gauge theory in 2 + 1 dimensions in the strong coupling phase. Using state-of-the-art Monte Carlo techniques we are able to accurately determine up to three masses in a single channel. We compare our results with the strong coupling expansion for the lightest mass and with results for the universal ratio sigma/m(2) determined for the phi(4) theory. Finally the whole spectrum is compared with that obtained from the Isgur-Paton flux-tube model and the spectrum of the 2 + 1-dimensional SU(2) gauge theory, A remarkable agreement between the Ising and SU(2) spectra (except for the lowest mass state) is found.
引用
收藏
页码:331 / 352
页数:22
相关论文
共 31 条
[11]   MICROCANONICAL MONTE-CARLO SIMULATION [J].
CREUTZ, M .
PHYSICAL REVIEW LETTERS, 1983, 50 (19) :1411-1414
[12]  
CREUTZ M, 1984, NUCL PHYS B, V235, P417
[13]   INHOMOGENEOUS DIFFERENTIAL APPROXIMANTS FOR POWER-SERIES [J].
FISHER, ME ;
AUYANG, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (10) :1677-1692
[14]  
GUPTA R, LAUR9693
[15]  
Hamermesh M., 1964, Group theory and its applications to physical problems, Vsecond
[16]   SURFACE-TENSION, SURFACE STIFFNESS, AND SURFACE WIDTH OF THE 3-DIMENSIONAL ISING-MODEL ON A CUBIC LATTICE [J].
HASENBUSCH, M ;
PINN, K .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 192 (03) :342-374
[17]   FINITE-SIZE SCALING AND UNIVERSALITY IN THE (2+1)D ISING-MODEL [J].
HENKEL, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (12) :3969-3981
[18]   FLUX-TUBE MODEL FOR HADRONS IN QCD [J].
ISGUR, N ;
PATON, J .
PHYSICAL REVIEW D, 1985, 31 (11) :2910-2929
[19]  
Kronfeld A. S., 1990, Nuclear Physics B, Proceedings Supplements, V17, P313, DOI 10.1016/0920-5632(90)90262-S
[20]   CRITICAL EXPONENTS FROM FIELD-THEORY [J].
LEGUILLOU, JC ;
ZINNJUSTIN, J .
PHYSICAL REVIEW B, 1980, 21 (09) :3976-3998