Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping

Chinese Physics C> 2004, Vol. 28> Issue(5) : 487-490

Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping ^,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China

Abstract
HTML
Reference
Related

PDF

Abstract：
The coupled cluster method is improved with the random phase approximation (RPA) to calculate vacuum wave function and vacuum energy of 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function composes of single-hollow graphs. The calculated results of vacuum wave functions show very good scaling behaviors at weak coupling region 1/g²〉1.2 from the third order to the sixth order, and the vacuum energy obtained with RPA method is lower than the vacuum energy obtained without RPA method, which means that this method is a more efficient one.

References

[1]

. 　HUI P et al . Phys. Rev. , 2000 , D62 :03450521252.　FANG X Yet al . Phys. Rev. , 2002 , D65 :11450521233.　CHEN Q Z, LUO X Q , GUO S H. Phys. Letters , 1995 , B341 :349 —3544.　HUI P. High Energy Phys. and Nucl . Phys. , 1998 , 22(4) :322 —325(in Chinese)(惠萍. 高能物理与核物理,1998 ,22(4) :322 —325)5.　HUI P. High Energy Phys. and Nucl . Phys. , 1999 , 23 (12) :1171 —1176(in Chinese)(惠萍. 高能物理与核物理,1999 ,23(12) :1171 —1176)6.　HUI P. High Energy Phys. and Nucl . Phys. , 2000 , 24(6) :490 —494(in Chinese)(惠萍. 高能物理与核物理,2000 ,24(6) :490 —494)7.　HUI P. High Energy Phys. and Nucl . Phys. , 2000 , 24(7) :636 —641(in Chinese)(惠萍. 高能物理与核物理,2000 ,24(7) :636 —641)8.　HU Lian , HUI P , CHEN Q Z. High Energy Phys. and Nucl . Phys. ,2002, 26(8) :773 —778 (in Chinese)(胡连,惠萍,陈启洲. 高能物理与核物理,2002 , 26 (8) : 773 —778)9.　GUO S H , CHEN Q Z, Li L. Phys. Rev. , 1994 , D49 :507 —51010.　CHEN Q Z, GUO S H , ZHENGW H et al . Phys. Rev. , 1994 , D50(5) :3564 —356511.　HUI P , CHEN Q Z. High Energy Phys. and Nucl . Phys. , 1995 , 19(9) :820 —825 (in Chinese)(惠萍,陈启洲. 高能物理与核物理,1995 ,19(9) :820 —825)

[1]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[2]	JIANG Jun-Qin . Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[3]	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.
[4]	Wang Jiahui . Phase Structure of Z₃ Lattice Gauge Theory Coupled With the Higgs Field. Chinese Physics C, 1999, 23(4): 352-359.
[5]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[6]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[7]	Wu Jimin . A Discussion About Recent Numerical Results From the Calculation of the Glueball Masses on Lattice Gauge Theory. Chinese Physics C, 1996, 20(10): 894-899.
[8]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[9]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[10]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[11]	LUO Xiang-Qian , CHEN Qi-Zhou . Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[12]	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.
[13]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[14]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[15]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[16]	LIU Jin-Ming , ZHENG Bo , GUO Shuo-Hong . QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅱ) BARYON MASS CALCULATION. Chinese Physics C, 1986, 10(1): 116-119.
[17]	LI Wen-Zhu , ZHANG Jian-Bo , JI Da-Ren . MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(2): 164-169.
[18]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[19]	XUE She-Sheng , XIAN Ding-Chang . A LOCALLY GAUGE INVARIANT MEAN FIELD STUDY OF THE Yang-Mills-Higgs FIELD COUPLING SYSTEM ON LATTICE. Chinese Physics C, 1985, 9(2): 174-182.
[20]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.

Access

Get Citation

HUI Ping. Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method[J]. Chinese Physics C, 2004, 28(5): 487-490.

HUI Ping. Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method[J]. Chinese Physics C, 2004, 28(5): 487-490. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-07-24
Revised: 1900-01-01

Article Metric

Article Views(2835)
PDF Downloads(509)
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

Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping ^,

Corresponding author: HUI Ping,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China

Received Date: 2003-07-24
Accepted Date: 1900-01-01
Available Online: 2004-05-05

Abstract: The coupled cluster method is improved with the random phase approximation (RPA) to calculate vacuum wave function and vacuum energy of 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function composes of single-hollow graphs. The calculated results of vacuum wave functions show very good scaling behaviors at weak coupling region 1/g²〉1.2 from the third order to the sixth order, and the vacuum energy obtained with RPA method is lower than the vacuum energy obtained without RPA method, which means that this method is a more efficient one.