BRST quantization of gauge theories like SL(2,R) on inner product spaces

Abstract

Some general formulas are derived for the solutions of a BRST quantization on inner product spaces of finite dimensional bosonic gauge theories invariant under arbitrary Lie groups. A detailed analysis is then performed of SL(2,R) invariant models and some possible geometries of the Lagrange multipliers are derived together with explicit results for a class of SL(2,R) models. Gauge models invariant under a nonunimodular gauge group are also studied in some detail.

20 pages,latexfile

References in corpus (3)

• Simple BRST quantization of general gauge models
• Proper BRST quantization of relativistic particles
• Gauge fixing and abelianization in simple BRST quantization

Cited by in corpus (9)

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• M-Theory on Deformed Superspace
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• Solving general gauge theories on inner product spaces
• BRST technique for the cosmological density matrix
• Generalised second law beyond the semiclassical regime
• Constraint rescaling in refined algebraic quantisation: momentum constraint
• Basics of BRST quantization on inner product spaces
• Refined algebraic quantisation in a system with nonconstant gauge invariant structure functions