Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent Becchi-Rouet-Stora-Tyutin symmetries

Citation
B. Geyer et D. Mulsch, Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent Becchi-Rouet-Stora-Tyutin symmetries, J MATH PHYS, 41(11), 2000, pp. 7304-7332
Citations number
28
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
11
Year of publication
2000
Pages
7304 - 7332
Database
ISI
SICI code
0022-2488(200011)41:11<7304:SFOGMG>2.0.ZU;2-6
Abstract
A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. The superalgebra osp(1,2) i s considered as subalgebra of the superalgebra sl(1,2)similar to osp(2,2) w hich may be considered as the algebra of generators of the conformal group in a superspace with two anticommuting coordinates. The mass-dependent (ant i)Becchi-Rouet-Stora-Tyutin symmetries of proper solutions of the quantum m aster equations in the osp(1,2)-covariant formalism are realized in that su perspace as invariance under translations combined with mass-dependent spec ial conformal transformations. The Sp(2) symmetry-in particular the ghost n umber conservation-and the new ghost number conservation are realized in th e superspace as invariance under symplectic rotations and dilatations, resp ectively. The new ghost number conservation is generally broken by the choi ce of a gauge. The transformations of the gauge fields and the full set of necessarily required (anti)ghost and auxiliary fields under the superalgebr a sl(1,2) are determined both for irreducible and first-stage reducible the ories with closed gauge algebra. (C) 2000 American Institute of Physics. [S 0022-2488(00)00310-8].