BRS symmetry versus supersymmetry in Yang-Mills-Chern-Simons theory

Abstract

We prove that three-dimensional $N=1$ supersymmetric Yang-Mills-Chern-Simons theory is finite to all loop orders. In general this leaves open the possibility that different regularization methods lead to different finite effective actions. We show that in this model dimensional regularization and regularization by dimensional reduction yield the same effective action. Consequently, the superfield approach preserves BRS invariance for this model.

27 pages, 2 figures, latex2e, uses epsfig

References in corpus (7)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• Algebraic renormalization of N=2 Super Yang-Mills theories coupled to matter
• Algebraic Renormalization of $N=1$ Supersymmetric Gauge Theories with Supersymmetry Breaking Masses
• Off--shell formulation of N = 2 Super Yang--Mills theories coupled to matter without auxiliary fields
• The universality of the shift of the Chern-Simons parameter for a general class of BRS invariant regularizations
• Shift versus no-shift in local regularizations of Chern-Simons theory
• Physically meaningful and not so meaningful symmetries in Chern-Simons theory

Cited by in corpus (8)

• Lattice Formulation of Supersymmetric Yang-Mills Theories without Fine-Tuning
• An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3
• No parity anomaly in massless QED3: a BPHZL approach
• Supersymmetric Yang-Mills-Chern-Simons theory
• Perturbative finiteness of the three-dimensional Susy QED to all orders
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Interpolating gauge-fixing for Yang-Mills-Chern-Simons theory in D=3
• Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model