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

Wang Shunjin; Guo Hua

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2024年10月30日

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

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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。

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[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]	LI Xi-Guo , JIA Duo-Jie , GAO Yuan . Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate. Chinese Physics C, 2003, 27(1): 12-14.
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[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.
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[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.
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[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.

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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

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

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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.