A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON H&Ouml;LDER INTEGRAL INEQUALITY

HE Xiang-Hao; XIAN Ding-Chang; SONG Yong-Shen

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> 1985, Vol. 9> Issue(5) : 629-634

A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY

Abstract
HTML
Reference
Related

PDF

Abstract：
A variational method based on Hölder integral inequality is presented. Taking the parameters in integral inequality as variational parameters, we can calculate the free energy in lattice gauge system. The plaquatte energy of Z₂ 、U(1)、 SU(2) gauge system is found and consistent with that given by Monte Carlo method. But, the higher phase transitions for U(1), SU(2) gauge systems are not found.

References

[1]

J. M. Drouffe, Phys. Rep., 102 (1983), 1-119.[2] J. B. Kogut, Rev. Mod. Phys., 51(1979), 659.J. B. Kogut, Rev. Mod. Phys., 55(1953), 775.[3] T. L. Chen, C. I. Tan and X. T. Zheng, Phys. Rev., D26 (1983), 2843.[4] C. H. Hardy, J. E. Littlewood and G. Polya "Inequalities" Cambridge University Press (1952).[5] M. Creutz, L. Jacob and C. Rebbi, Phys. Rep 95 (1983), 201.[6] X. H. He, T. C. Hsien and Y. X. Song, Phys. Letts., 153B(1985), 41.

[1]	Ciprian A. Sporea . Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes. Chinese Physics C, 2017, 41(12): 123101. doi: 10.1088/1674-1137/41/12/123101
[2]	DENG Wen , SUN Xiao-Xiang , TAN Shao-Xi , LI Yu-Xia , XIONG Ding-Kang , HUANG Yu-Yang . Defects and hyperfine interactions in binary Fe-Al alloys studied by positron annihilation and Mössbauer spectroscopies. Chinese Physics C, 2013, 37(12): 128201. doi: 10.1088/1674-1137/37/12/128201
[3]	M. K. Tavassoly . Solution of the Schrödinger equation for a particular form of Morse potential using the Laplace transform. Chinese Physics C, 2013, 37(4): 043106. doi: 10.1088/1674-1137/37/4/043106
[4]	ZHANG Li-Chun , LIN Hai , LI Huai-Fan , ZHAO Ren . Radiation spectrum of rotating Gödel black hole and correction entropy. Chinese Physics C, 2011, 35(4): 339-343. doi: 10.1088/1674-1137/35/4/004
[5]	DING Yi-Bing , LI Jun-Li , QIAO Cong-Feng . Bell Inequalities in High Energy Physics. Chinese Physics C, 2007, 31(11): 1086-1097.
[6]	Sayipjamal Dulat , LIU Bo-Chao , ZOU Bing-Song , WU Ji-Min , . Covariant Tensor Formalism for Partial Wave Analyses of ψ Decays into γBB. Chinese Physics C, 2006, 30(4): 277-283.
[7]	LU Qiang , LI Hong , CHEN Tian-Lun . A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion. Chinese Physics C, 2001, 25(2): 95-100.
[8]	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.
[9]	Ni Zhixiang . Nonlinear Spectrum-Generating Algebra for the Symmetrical Pöschl-Teller Potential. Chinese Physics C, 1999, 23(3): 289-297.
[10]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[11]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[12]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[13]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[14]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[15]	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.
[16]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[17]	WEI Hua , RUAN Tu-Nan . GREEN FUNCTION FOR RELATIVISTIC SCHRÖDINGER EQUATION. Chinese Physics C, 1986, 10(6): 656-665.
[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]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.
[20]	LIU YAO-YANG . A METHOD ON DERIVATION OF GAUGE FIELDS. Chinese Physics C, 1982, 6(1): 17-24.

Access

Get Citation

HE Xiang-Hao, XIAN Ding-Chang and SONG Yong-Shen. A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY[J]. Chinese Physics C, 1985, 9(5): 629-634.

HE Xiang-Hao, XIAN Ding-Chang and SONG Yong-Shen. A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY[J]. Chinese Physics C, 1985, 9(5): 629-634. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2207)
PDF Downloads(449)
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

A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY

Corresponding author: HE Xiang-Hao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-10-05

Abstract: A variational method based on Hölder integral inequality is presented. Taking the parameters in integral inequality as variational parameters, we can calculate the free energy in lattice gauge system. The plaquatte energy of Z₂ 、U(1)、 SU(2) gauge system is found and consistent with that given by Monte Carlo method. But, the higher phase transitions for U(1), SU(2) gauge systems are not found.