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

  • 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.
  • 加载中
  • [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)
  • 加载中

Get Citation
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
Milestone
Received: 2003-03-24
Revised: 1900-01-01
Article Metric

Article Views(2361)
PDF Downloads(610)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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

    Corresponding author: HUANG Yong-Chang,
  • Department of Applied Physics,Beijing University of Technology,Beijing 100022,China

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.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return