IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z<SUB>N</SUB> LATTICE GAUGE THEORIES

XU Zai-Xin

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> 1988, Vol. 12> Issue(2) : 169-177

IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z_N LATTICE GAUGE THEORIES

XU Zai-Xin ^,

East China Normal University,Shanghai

Abstract
HTML
Reference
Related

PDF

Abstract：
In the scheme of the improved MK renormalization group transformation,the phase structures for Z_N(N=2—6) lattice gauge theories are discussed.Considering the most general plaquette action,the phase diagrams in whole coupling parameter space are obtained,and some results are more elucidating then those obtained by Monte Carlo simulation.The results of this work show that the improved MK transformation is convenient to non-perturbative studies of gauge fields.

References

[1]

S. Caracciolo and P. Menotti, Nucl. Phys., B180[FS2] (1981), 428; K. M. Bitar et al., Phys. Rev., D26(1962), 2853; Phys. LC;;., 121B(1983), 163; M. Imachi et al., Prog. Thcor. Phys, 69(1983), 1005.[2] M. Creutz and L. E. Roberts, Nucl. Phys., B215[FS7], (1983), 447.[3] K. M. Bitar, D. W. Duke and M. Jadid, Phys. Rev., D31(1985) 1470; K. M. Bitar, Phys. Rev., D32(1985),2769.[4] M. Imachi, KYUSHU-86-HE-I.[5] A. A. Migdal, JETP, 42(1976), 413; 42(1976), 747.[6] L. P. Kadanoff, Ann. of Phys., 100(1976), 359.[7] Chung-I Tan and Zai-Xin Xu, Phys. Rev., D30(1984), 455.[8] 徐在新，科学通报，30(1985), 1866.[9] Zai-Xin Xu, "Modified MK transformation of SU(2) gauge theoryn (Commun. of Theor. Phys.即将发表).[10] M. Creutz, I. Jacobs and C. Rebbi, Phys. Rev. Lett., 42(1979), 1390; Phys. Rev., D20(1979), 1915.[11] R. C. Edgar, Nucl. Phys., B200[ES4] (1982), 345.[12] M. Creutz and M. Okawa, Nvcl. Phys., B200[FS8] (1983), 149.[13] M. Fukugita and M. Kobayashi, Nucl. Phys., B215[FS7] (1983), 289.[14] K. Odaca and M. Fukugita, Nucl. Phys., B220[Fs8} 1983,471.

[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]	Falih H , LI Yan-Song , LONG Gui-Lu . Isospin and Mixed Symmetry Excitations in ^60—66Zn Isotopes. Chinese Physics C, 2004, 28(4): 370-376.
[4]	LI Xian-Liang , PAN Gang , QIN Yan-Wen , HU Tian-Dou , WU Zi-Yu , XIE Ya-Ning , CHEN Hao , DU Yong-Hua . EXAFS Studies on Adsorption Microscopic Structures of Zn at Manganite-Water Interaface and δ-MnO₂-Water Interaface. Chinese Physics C, 2003, 27(S1): 23-27.
[5]	GUO Wen-Jun , JIANG Huan-Qing , LIU Jian-Ye . Improved Glauber Theory and the Total Reaction Cross Section of the Nucleus-Nucleus Collision. Chinese Physics C, 2001, 25(11): 1092-1099.
[6]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[7]	Gao Haixiao , Li Ziping . Quantal Conserved Charges in Gauge Theory. Chinese Physics C, 1997, 21(6): 506-512.
[8]	Shi Kangjie , Yang Wenli , Fan Heng , Hou Boyu . Bosonized Vertex Operators Realize Z-F Algebra for Z_n Symmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
[9]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Z_n Belavin Model. Chinese Physics C, 1996, 20(S4): 325-331.
[10]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Zⁿ Belavin Model. Chinese Physics C, 1996, 20(9): 794-800.
[11]	Yan Xiunling , Jiang Zhijin , Li Zuohong . Quantitative Analysis for U(1) Gauge Theory. Chinese Physics C, 1995, 19(6): 527-533.
[12]	Shi Kangjie , Yang Wenli , Hou Boyu , Fan Heng . q-deformed Quantum Affine Algebra in Z_n Lattice Model. Chinese Physics C, 1995, 19(3): 229-240.
[13]	He Zhiyong¹ , J.Peter² , J.C.Angelique² , G.Bizard² , R.Brou² , D.Cussol² , A.Kerambrun² , J.P.Patry² , R.Regimbart² , J.C.Steckmeyerr² , B.Tamain² , E.Vient² , G.Auger³ , C.Cabot<sup . Study of Collective Flow for ⁶⁴Zn+²⁷Al, Collisions at 57 MeV/u. Chinese Physics C, 1994, 18(9): 800-806.
[14]	YU Qing-Chang . Transformation Groups in Beam Optics (Ⅰ) General Theory. Chinese Physics C, 1993, 17(10): 878-884.
[15]	YAN Xun-Ling . Corrected MK Transformation of Z_N Gauge Theory. Chinese Physics C, 1992, 16(6): 499-504.
[16]	LU Jian-Xin , RUAN Tu-Nan . GAUGE TRANSFORMATION IN STRING THEORY. Chinese Physics C, 1989, 13(4): 309-315.
[17]	CHEN De-Fang , SONG Yong-Shen , CHEN Tian-Lun , ZHENG Xi-Te , HE Xiang-Hao , XIAN Ding-Chang . ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1986, 10(1): 32-39.
[18]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
[19]	WANG PEI , HOU BO-YU . THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY. Chinese Physics C, 1979, 3(5): 555-571.
[20]	GU CHAO-HAO . THE LOOP PHASE-FACTOR APPROACH TO GAUGE FIELDS. Chinese Physics C, 1978, 2(2): 97-108.

Access

Get Citation

XU Zai-Xin. IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z_N LATTICE GAUGE THEORIES[J]. Chinese Physics C, 1988, 12(2): 169-177.

XU Zai-Xin. IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z_N LATTICE GAUGE THEORIES[J]. Chinese Physics C, 1988, 12(2): 169-177. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3390)
PDF Downloads(428)
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

IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z_N LATTICE GAUGE THEORIES

XU Zai-Xin ^,

Corresponding author: XU Zai-Xin,

East China Normal University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-04-05

Abstract: In the scheme of the improved MK renormalization group transformation,the phase structures for Z_N(N=2—6) lattice gauge theories are discussed.Considering the most general plaquette action,the phase diagrams in whole coupling parameter space are obtained,and some results are more elucidating then those obtained by Monte Carlo simulation.The results of this work show that the improved MK transformation is convenient to non-perturbative studies of gauge fields.