BRST-anti-BRST covariant theory for the second class constrained systems: a general method and examples
- 作者：Karataeva ; I.Yu. ; Lyakhovich ; S.L.
- 关键词：11.10.Ef ; 11.10.&minus ; q ; Second class constraints ; BRST-anti-BRST symmetry
- 刊名：Nuclear Physics B
- 出版年：1999
- 期刊代码：45_05503213
- 类别：ph
- 出版时间：April 19, 1999
- 卷：545
- 期：1-3
- 页码：656-676
- 文件大小：878 K
摘要
An BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for second class constrained theories. The constraint algebra generating equations involve on equal footing a pair of BRST charges for second class constraints and a pair of the respective anti-BRST charges. The formalism displays explicitly the Sp(2) × Sp(2) symmetry property. Surprisingly, the BRST-anti-BRST algebra must involve a central element, related to the non-vanishing part of the constraint commutator and has no direct analogue in a first class theory. The unitarizing Hamiltonian is fixed by the requirement of the explicit BRST-anti-BRST symmetry with a much more restricted ambiguity if compared to a first class theory or split involution second class case in the non-symmetric formulation. The general method of construction is supplemented by the explicit derivation of the extended BRST symmetry generators for several examples of second class theories, including the self-dual non-abelian model and massive Yang-Mills theory.