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

WANG Jing; HUANG Yong-Chang

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

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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.