Canonical Transformations and Gauge Fixing in the Triplectic Quantization

Details Canonical Transformations and Gauge Fixing in the Triplectic Quantization Canonical Transformations and Gauge Fixing in the Triplectic Quantization

1998-01-15

arxiv.org/abs/hep-th/9801107v2

Nucl.Phys.B524:779-790,1998

Physics

High Energy Physics

High Energy Physics - Theory

A new section about the cohomological approach to the extended BRST quantization has been included. Some new references were a

Scientific paper

10.1016/S0550-3213(98)00337-X

We show that the generators of canonical transformations in the triplectic manifold must satisfy constraints that have no parallel in the usual field antifield quantization. A general form for these transformations is presented. Then we consider gauge fixing by means of canonical transformations in this Sp(2) covariant scheme, finding a relation between generators and gauge fixing functions. The existence of a wide class of solutions to this relation nicely reflects the large freedom of the gauge fixing process in the triplectic quantization. Some solutions for the generators are discussed. Our results are then illustrated by the example of Yang Mills theory.

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