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

HUI Ping

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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 . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[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]	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.
[4]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[5]	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.
[6]	LI Jie-Ming , JIANG Jun-Qin . Calculation of the Vacuum Wave Function for (2+1) Dimensional Lattice QCD. Chinese Physics C, 2001, 25(7): 617-620.
[7]	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.
[8]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[9]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[10]	Jiang Junqin , Luo Xiangqian . Study of the Vacuum State in (2+1)-Dimensional U(1) Lattice Gauge Theory. Chinese Physics C, 1999, 23(8): 774-783.
[11]	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.
[12]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[13]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[14]	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.
[15]	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.
[16]	Chen Qizhou , Li Lei , Li Zhibing , Guo Shuohong . Vacuum Wave Function Study of 2+1 Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(5): 417-423.
[17]	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.
[18]	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.
[19]	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.
[20]	Du Dong-sheng , Fan Hong-yi , Yin Hong-jun , Ruan Tu-nan . τVACUUM. Chinese Physics C, 1980, 4(4): 459-465.

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(2775)
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.