BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model

WANG Jing; HUANG Yong-Chang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(1) : 17-21

BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model

WANG Jing ,
HUANG Yong-Chang ^,

Department of Applied Physics,Beijing University of Technology,Beijing 100022,China

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Abstract：
According to the Dirac constraint theory and the extended gauge condition, the gauge generators and the BRST transformation of (1+1) dimension O(3) non-linear model under the new general condition have been deduced. A new general commutation relation of ghost field, the BRST charge from gauge generator is obtained and a kind of BRST quantization of the model is completed, on these bases, then the generating functionals of Green function, connecting Green function and proper vertex are also deduced and finally three kinds of Ward identities of this model are acquired.

References

[1]

.Coleman S,Weiss J,Zumino B.Phys.Rev.,1961,177:2239; Cal..lan C,Coleman S,Weiss et al.Phys.Rev.,1969,177:22472.Vainshtein A I,Zakharov V I,Novikov V I et al.Sov.J.Pant ,Nu..cl.,1986,17:2043.Zamolodchikov A B.Ann.Phys.,NY) 1979,120:2534.Dadda A,Luschcer M,Divecchia P.Nucl.Phys.,1978,B146:635.Candelas P et al.Nucl.Phys.,1985,B258:46; Henneaux A,Eziuc..escu L M.Phys.Letts.,1985,B152:3406.Feynman R P.Acta.,Phys.Pol.,1963,24:6977.Dew it B S.Relat ivity Group and Topology,(Blackie 1964) :5898.Faddev L D,Popov V N.Phys.Letts.,1967,B25:299.Becchi C,Rouet A,Stora R.Ann.Phys.,(N.Y) 1976,98:28710.Kugo T,Vehara S.Nucl.Phys.,1982,B197:37811.Henneaux M,Teclchlboim C.Quant izat ion of Gauge Syst ems,PrincetonUniversity Press,Princet on,New Jersey.199212.Kulshreshthaint U.Int.J.of Theor.Phys.,2000,39 N(10) :248913.Dirac P A M,91964).Lectures on Quantum Mechanics,New York:Yeshiva University Press,195014.Becchi C,Rouet A,Stora A.Phys.Lett s.,1974,B52:344; Nemess..chansky D,Preit schopf D,Weinstein M.Ann Phys (N.Y) ,1988,183:22615.Banerjee R,Mandal B P.Phys.Lett.,2000,B488:716.HUANG Y C et al.J.Nature,2001,4:227(in Chinese)(黄永畅等.自然杂志,2001,4:227)

[1]	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.
[2]	LI Zi-Ping , LI Rui-Jie . Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[3]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[4]	HUANG ChunQing , JIANG JunQin , LUO XiangQian . Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[5]	Jiang Junqin . Variational Study of<ΨΨ> in 1+1 Dimensional Lattice QCD. Chinese Physics C, 1999, 23(4): 347-351.
[6]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[7]	Li Ziping . Canonical Ward Identities in Generalized QCD. Chinese Physics C, 1995, 19(5): 405-412.
[8]	Li Yuxiao , Shi Wanzhong , Liu Li . Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model. Chinese Physics C, 1994, 18(11): 1003-1011.
[9]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[10]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[11]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[12]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[13]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[14]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[15]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[16]	NI Guang-Jiong , WANG Rong-Tai , CHEN Su-Qing . THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD. Chinese Physics C, 1989, 13(2): 135-141.
[17]	YUE Rui-Hong . SOLUTION OF CHIRAL QCD₂ IN 1+1 DIMENSIONAL CURVED SPACETIME. Chinese Physics C, 1988, 12(5): 593-600.
[18]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[19]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[20]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

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WANG Jing and HUANG Yong-Chang. BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model[J]. Chinese Physics C, 2004, 28(1): 17-21.

WANG Jing and HUANG Yong-Chang. BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model[J]. Chinese Physics C, 2004, 28(1): 17-21. shu

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Received: 2003-03-24
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

BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model

WANG Jing
HUANG Yong-Chang ^,

Corresponding author: HUANG Yong-Chang,

Department of Applied Physics,Beijing University of Technology,Beijing 100022,China

Received Date: 2003-03-24
Accepted Date: 1900-01-01
Available Online: 2004-01-05

Abstract: According to the Dirac constraint theory and the extended gauge condition, the gauge generators and the BRST transformation of (1+1) dimension O(3) non-linear model under the new general condition have been deduced. A new general commutation relation of ghost field, the BRST charge from gauge generator is obtained and a kind of BRST quantization of the model is completed, on these bases, then the generating functionals of Green function, connecting Green function and proper vertex are also deduced and finally three kinds of Ward identities of this model are acquired.