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]	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.
[3]	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.
[4]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[5]	Li Xiguo , Liu Hang , Liu Jianye . Two-Body Correlation Transport Theory for Heavy Ion Collisions Ⅱ.The Time-Evolution Equations of Single Particle States Given by Means of the Time Dependent Variational Principle and Antisymmetrized Molecular Dynamics. Chinese Physics C, 1997, 21(2): 162-168.
[6]	Zhang Yang , Deng Yue , Liu Lianshou . On the Constraint of Transverse Momentum Conservation to Dynamic Fluctuations in High Energy Collisions. Chinese Physics C, 1997, 21(2): 130-137.
[7]	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.
[8]	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.
[9]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[10]	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.
[11]	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.
[12]	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.
[13]	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.
[14]	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.
[15]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[16]	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.
[17]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.
[18]	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.
[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(2583)
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

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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article