Bonn 2001 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 1: Quantum Field Theory

MP 1.2: Talk

Monday, March 26, 2001, 14:30–15:00, HS VIII

Superspace representation of mass-dependent BRST symmetries in general gauge theories — •Bodo Geyer¹ and Dietmar Mülsch² — ¹Institut f. Theoret. Physik, Univ. Leipzig — ²Wissenschaftszentrum Leipzig e.V.

Recently, the osp(1,2)–covariant Lagrangian quantization of general massive gauge theories has been formulated [1] in order to be able to apply algebraic renormalization [2] maintaining all the symmetries of the quantized theory.

Here, a superspace formulation is of this quantization procedure is given [3]. Thereby, osp(1,2) is considered as subalgebra of the superalgebra sl(1,2) which, in turn, is interpreted as conformal algebra acting on two anticommuting coordinates. The mass-dependent BRST and antiBRST symmetries of the quantum action in osp(1,2) superfield formalism are realized as translations associated by mass-dependent special conformal transformations. The mass-induced gauge dependence of the vacuum functional is discussed.

References: [1] B. Geyer, P. Lavrov, and D. Mülsch, J. Math. Phys. 40 (1999) 674; 6189. [2] O. Piguet and S.P. Sorella, Algebraic renormalization, Springer, Berlin 1995. [3] B. Geyer and D. Mülsch, J. Math. Phys. 41 (2000) 7304