BRST-anti-BRST covariant theory for the second class constrained systems: a general method and examples

被引:5
作者
Karataeva, IY [1 ]
Lyakhovich, SL [1 ]
机构
[1] Tomsk State Univ, Dept Phys, Tomsk 634050, Russia
关键词
second class constraints; BRST-anti-BRST symmetry;
D O I
10.1016/S0550-3213(99)00080-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
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) x Sp(2) symmetry property. Surprisingly, the BRST-anti-BRST algebra must involve a central element, related to the nonvanishing 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. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:656 / 676
页数:21
相关论文
共 33 条
[1]   THE 2 QUANTUM SYMMETRIES ASSOCIATED WITH A CLASSICAL SYMMETRY [J].
ALVAREZGAUME, L ;
BAULIEU, L .
NUCLEAR PHYSICS B, 1983, 212 (02) :255-267
[2]   CONSISTENT COUPLINGS BETWEEN FIELDS WITH A GAUGE FREEDOM AND DEFORMATIONS OF THE MASTER EQUATION [J].
BARNICH, G ;
HENNEAUX, M .
PHYSICS LETTERS B, 1993, 311 (1-4) :123-129
[3]  
BATALIN IA, 1988, ANN I H POINCARE-PHY, V49, P145
[4]   SPLIT INVOLUTION AND 2ND CLASS CONSTRAINTS [J].
BATALIN, IA ;
LYAKHOVICH, SL ;
TYUTIN, IV .
MODERN PHYSICS LETTERS A, 1992, 7 (21) :1931-1943
[5]   EXTENDED BRST QUANTIZATION OF GAUGE-THEORIES IN THE GENERALIZED CANONICAL FORMALISM [J].
BATALIN, IA ;
LAVROV, PM ;
TYUTIN, IV .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (01) :6-13
[6]   AN SP(2)-COVARIANT VERSION OF GENERALIZED CANONICAL QUANTIZATION OF DYNAMIC-SYSTEMS WITH LINEARLY DEPENDENT CONSTRAINTS [J].
BATALIN, IA ;
LAVROV, PM ;
TYUTIN, IV .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (11) :2708-2717
[7]   SPLIT INVOLUTION COUPLED TO ACTUAL GAUGE-SYMMETRY [J].
BATALIN, IA ;
TYUTIN, IV ;
LYAKHOVICH, SL .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (13) :1917-1936
[8]   RELATIVISTIC S-MATRIX OF DYNAMICAL-SYSTEMS WITH BOSON AND FERMION CONSTRAINTS [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1977, 69 (03) :309-312
[9]   ANOTHER VERSION FOR OPERATORIAL QUANTIZATION OF DYNAMICAL-SYSTEMS WITH IRREDUCIBLE CONSTRAINTS [J].
BATALIN, IA ;
FRADKIN, ES ;
FRADKINA, TE .
NUCLEAR PHYSICS B, 1989, 314 (01) :158-174
[10]   EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF 2ND-CLASS CONSTRAINTS [J].
BATALIN, IA ;
TYUTIN, IV .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (18) :3255-3282