CANONICAL-TRANSFORMATIONS AND GAUGE-FIXING IN THE TRIPLECTIC QUANTIZATION

We show that the generators of canonical transformations in the triple ctic manifold must satisfy constraints that have no parallel in the us ual field antifield quantization. A general form for these transformat ions is presented. Then we consider gauge fixing by means of canonical transformations in this Sp(2) covariant scheme, finding a relation be tween generators and gauge fixing functions. The existence of a wide c lass of solutions to this relation nicely reflects the large freedom o f the gauge fixing process in the triplectic quantization. Some soluti ons for the generators are discussed. Our results are then illustrated by the example of Yang-Mills theory. (C) 1998 Elsevier Science B.V.