Chinese Physics C > 1987, Vol. 11 > Issue(2): 186-191

MONTE CARLO SIMULATION OFSU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, a SU(2)× SU(2) chiral model on 2-dimensional random lattice is studied by Monte Carlo simulation with 8×8, 9×9 and 10×10 lattice volumes. The results of its energy and specific heat per link are obtained and coincide with that of SU(2) gauge system on 4-dimension. The systems enter crossover region at β 1.0 but show no obvious evidences of continuous phase transition. Thus we believed that the correspondences between 4-dimensional SU(N) gauge theory and 2-dimensional SU(N)× SU(N) spin system may be generized to interesting random lattice.

References

[1]

A. A. Migdal, Zhete (USSR), 69(1975), 810.[2] A. M. Polyakov, Phys. Lett., B59(1975), 79.[3] F. GreenS. Samuel, Nucl. Phys., B190(1981). 113.[4] A. M. Horowity, Nucl. Phys., B251(1985), 1.[5] R. Friedberg H-C. Ren, Nucl. Phys., B235(1984), 310.[6] H-C. Ren, Nucl. Phys., 8235(1985), 321.[7] N. H. Christ, R. FriedbergT. D. Lee, Nucl. Phys., B202(1982), 89; B210(1982), 310; B210(1982),337.[8] K. G. Wilson, Phys. Rev., D10(1974), 2445.[9] M. Creutz, Phys. Rev., D21(1980), 2308.

[1]	HUI Ping. Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	HUI Ping,ZHENG Tai-Yu,WANG Zhou-Fei. Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[3]	HUI Ping. Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[4]	JIANG JunQin. Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[5]	Hin Ping. Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[6]	Hu Jingguo. Monte-Carlo Simulation on Asymmetric Lattices for SU(2) Gauge Field Thermodynamics. Chinese Physics C, 1997, 21(9): 801-805.
[7]	Hui Ping,Cai Pengfei,Chen Qizhou. Analytic calculation of Glueball Mass In (2+1)-DSU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[8]	Chen Qizhou,Fang Xiyan,Guo Shouhong. Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[9]	Huang Liangxin,Li Hong,Chen Tianlun. Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[10]	CHEN Tian-Lun,SUO Cun-Chuan,HUANG Wu-Qun. β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[11]	ZHENG Xi-Te,LIU Bei-Shu. ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[12]	LI Zhi-Bing,ZHENG Wei-Hong,GUO Shuo-Hong. THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[13]	ZHENG Wei-Hong,GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[14]	CHEN Tian-Lun,HUANG Wu-Qun,JIN Ke,SUO Cun-Chuan. β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[15]	ZHU Zheng-Kun,ZHANG Xiao-Ze,JIN Xing-Nan,SA Ben-Hao. IMPROVEMENT OF THERMODYNAMICAL MONTE CARLO SIMULATION IN SU(2) PURE GAUGE FIELD THEORY ——AN APPROACH TO CONTINUUM PHYSICS LIMIT. Chinese Physics C, 1989, 13(4): 339-345.
[16]	LIU Jin-Ming,ZHENG Wei-Hong,GUO Shuo-Hong. THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[17]	SA Bei-Hao,ZHU Zheng-Kun,ZHANG Xiao-Ze,JIN Xing-Nan. THE EVIDENCE OF DECONFINEMENT PHASE TRANSITION OF SU(2) LATTICE GAUGE MODEL BY MONTE CARLO METHOD. Chinese Physics C, 1988, 12(5): 601-607.
[18]	LI Wen-Zhu,ZHANG Jian-Bo,DONG Shao-Jing. MONTE CARLO STUDY OFSU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[19]	LI Wen-Zhu,DONG Shao-Jing. MONTE CARLO STUDY OFSU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[20]	LI Wen-Zhu,DONG Shao-Jing. MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONALSU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.

Access

Get Citation

LI Wen-Zhu, YING He-Ping and DONG Shao-Jing. MONTE CARLO SIMULATION OF SU(2)× SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE[J]. Chinese Physics C, 1987, 11(2): 186-191.

LI Wen-Zhu, YING He-Ping and DONG Shao-Jing. MONTE CARLO SIMULATION OF SU(2)× SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE[J]. Chinese Physics C, 1987, 11(2): 186-191. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(5056)
PDF Downloads(454)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

MONTE CARLO SIMULATION OFSU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE

Corresponding author:LI Wen-Zhu,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1987-04-05

Abstract:In this paper, aSU(2)×SU(2) chiral model on 2-dimensional random lattice is studied by Monte Carlo simulation with 8×8, 9×9 and 10×10 lattice volumes. The results of its energy and specific heat per link are obtained and coincide with that ofSU(2) gauge system on 4-dimension. The systems enter crossover region at β1.0 but show no obvious evidences of continuous phase transition. Thus we believed that the correspondences between 4-dimensionalSU(N) gauge theory and 2-dimensionalSU(N)×SU(N) spin system may be generized to interesting random lattice.