Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions

Wang Shunjin; Guo Hua

Chinese Physics C> 1995, Vol. 19> Issue(4) : 332-339

Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions

Wang Shunjin ^, ,
Guo Hua

Department of Modern Physics, Lanzhou University, Lanzhou 7300002 Department of Physics, Peking University, Beijing 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, gauge constrained conditions and quantization of SU(N) gauge theories are analysed by means of Dirac's formalism. In the framework of algebraic dynamics, gauge invariance, Gauss law and Ward identities are discussed. With use of the version of conservation law in correlation dynamics, the conserved Gauss law and Ward identities related to residual gauge invariance can be transformed into initial value problems.

References

[1]

P.G.Bergmann,R.Schiller,Phys.Rev.,89（1953）4.[2]P.G.Bergmann,I.Goldberg,Phys Rev.,98（1955）531.[3]P.G.Bergmann,H.M.Brunings,Phys.Rev,21（1949）480.[4]P.A.Dirac,Canad.J.Math,2（1950）129.[5]P.A.Dirac,Proc.Roy.Soc,A246（1958）326.[6]P.A.Dirac,Lectures on Quantum Mechanics.Belfer Graduate School of Science,Yeshiva Univ.Press,1961.[7]N.Hulida,E.C.G.Sudarshan,J.Math.Phys.,9（1968）411.[8]M.Henneaux,Phys Rep,126（1985）1.[9]P.Senjanivic,Ann.Phys,100（1976）227.[10]G.Marmo,N.Mukunda,J.Samuel,La.Rivista.Nuovo.Cimento,6（1983）1.[11]戴元本，相互作用的规范理论，科学出版社，1987.[12]N.H.Christ,T.D.Lee,Phys.Rev,D22（1980）939.[13]S.J.Wang,W.Cassiny,M.H.Thoma.Phys.Lett,B324（1994）5.[14]L.Castellani,Ann Phys.,143（1982）35.[15]S.J.WangW.Cassing Ann Phys,159（1985）328;S.J.Wang,et al.,Ann.Phys.,209（1991）251.[16]S.J.Wang,W.Cassing,Nucl.Phys.,A495（1989）371;W.Cassing,S.J.Wang,Z.Phys,A337（1990）1.[17]王顺金、郭华，正则形式的SU（N）规范理论的约束关联动力学（I）.关联Green函数的运动方程。[18]郭华、王顺金，正则形式的SU（N）规范理论的约束关联动力学（III）.等时关联Green函数的运动方程与二体关联近似。

[1]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
[2]	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.
[3]	LONG Zheng-Wen , LI Zi-Ping . Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory. Chinese Physics C, 2004, 28(2): 134-139.
[4]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅱ)Equal Time Limit and Two-Body Correlation Dynamics. Chinese Physics C, 1996, 20(2): 131-137.
[5]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1996, 20(1): 48-54.
[6]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅲ) Equal Time Limit and Two-bodyCorrelation Dynamics. Chinese Physics C, 1995, 19(5): 455-467.
[7]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical form (Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1995, 19(3): 270-277.
[8]	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.
[9]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[10]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[11]	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.
[12]	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.
[13]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[14]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[15]	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.
[16]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[17]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
[18]	WANG PEI , HOU BO-YU . THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY. Chinese Physics C, 1979, 3(5): 555-571.
[19]	WANG KE-LIN , HSIEN TING-CHANG , CHENG HSI-THE . ON THE MAGNETIC MONOPOLE AND DIPOLE SOLUTION OF THE SU(N) GAUGE FIELD THEORY IN A CURVED SPACE. Chinese Physics C, 1978, 2(3): 275-279.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

Wang Shunjin and Guo Hua. Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions[J]. Chinese Physics C, 1995, 19(4): 332-339.

Wang Shunjin and Guo Hua. Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions[J]. Chinese Physics C, 1995, 19(4): 332-339. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2561)
PDF Downloads(544)
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

Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions

Wang Shunjin ^,
Guo Hua

Corresponding author: Wang Shunjin,

Department of Modern Physics, Lanzhou University, Lanzhou 7300002 Department of Physics, Peking University, Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-04-05

Abstract: In this paper, gauge constrained conditions and quantization of SU(N) gauge theories are analysed by means of Dirac's formalism. In the framework of algebraic dynamics, gauge invariance, Gauss law and Ward identities are discussed. With use of the version of conservation law in correlation dynamics, the conserved Gauss law and Ward identities related to residual gauge invariance can be transformed into initial value problems.