Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen; LI Zi-Ping

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2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(2) : 134-139

Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen ^, ,
LI Zi-Ping

Department of Physics,Guizhou University,Guiyang 550025,China2 Department of Applied Physics,Beijing Polytechnic University,Beijing 100022,China

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Abstract：
Based on theory of constrained Hamiltonian system, the Faddeev-Senjanovic Path-integral quantization for studying the quantization of Conwall-Norton and Jackiw-Johnson models were reexamined, the canonical Ward identities were derived. The mass spectra of both fermion and bound states were also obtained, which is in agreement with that results obtained by using another method.

References

[1]

.Cornwall J M,Norton R E.Phys.Rev.,1973,D8: 3338-33462.Jackiw R,Johnson K.Phys.Rev.,1973,D8: 2386-23983.Nambu Y,Jona2Lasino G.Phys.Rev.,1961,122: 345-358; 1961,124: 246-2544.SHEN Kun,KUANG Yu2Ping.Phys.Rev.,1998,D57: 6386-63975.SHEN Kun,QIU Zhong2Ping.Phys.Rev.,1992,D45: 3877-38796.SHEN Kun,QIU Zhong2Ping.Phys.Rev.,1993,D48: 1801-18077.Baruch Rosoenstein,Brain J.Warr.Phys.Lett.,1989,B219: 469-4738.Eichten Est ia J,Feinberg Frank L.Phys.Rev.,1974,D10: 3254-32799.Heinz Pagels.Phys.Rev.,1980,D21: 2336-234710.Cornwall JohnM,Jackiw R,Tomboul is E.Phys.Rev.,1974,D10:2428-244511.Lee T D,YANG C N.Phys.Rev.,1962,128: 885-89812.Schwinger J.Phys.Rev.,1962,125: 397) 398; 1962,128: 2425-242913.LI Z P.High Energy Phys.and Nucl.Phys.,1994,18: 265-27314.LI Z P.High Energy Phys.and Nucl.Phys.,1995,19: 405-412(in Chinese)(李子平.高能物理与核物理,1995,19: 405-412)15.LI Z P.High Energy Phys.and Nucl.Phys.,2002,26: 122-128(in Chinese)(李子平.高能物理与核物理,2002,26: 122-128)16.LI Z P.High Energy Phys.and Nucl.Phys.,2002,26: 230-238(in Chinese)(李子平.高能物理与核物理,2002,26: 230-238)17.LI Z P.Int.J.Theor.Phys.,1995,34: 523-54318.LI Z P.Z.Phys.,1997,C76: 181-18919.FaddeevL D.Theor.Math.Phys.,1970,1:1-620.Senjanovic P.Ann.Phys.,1976,100: 227-233

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LONG Zheng-Wen and LI Zi-Ping. Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory[J]. Chinese Physics C, 2004, 28(2): 134-139.

LONG Zheng-Wen and LI Zi-Ping. Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory[J]. Chinese Physics C, 2004, 28(2): 134-139. shu

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Received: 2003-04-14
Revised: 1900-01-01

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Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen ^,
LI Zi-Ping

Corresponding author: LONG Zheng-Wen,

Department of Physics,Guizhou University,Guiyang 550025,China2 Department of Applied Physics,Beijing Polytechnic University,Beijing 100022,China

Received Date: 2003-04-14
Accepted Date: 1900-01-01
Available Online: 2004-02-05

Abstract: Based on theory of constrained Hamiltonian system, the Faddeev-Senjanovic Path-integral quantization for studying the quantization of Conwall-Norton and Jackiw-Johnson models were reexamined, the canonical Ward identities were derived. The mass spectra of both fermion and bound states were also obtained, which is in agreement with that results obtained by using another method.