399 research outputs found
BRST Formulation of Partition Function Constraints
We show that constraints on the generating functional have direct
BRST-extensions in terms of nilpotent operators that annihilate this
generating functional, and which may be of arbitrarily high order. The free
energy in the presence of external sources thus satisfies a ``Master
Equation'' which is described in terms of a tower of higher antibrackets.Comment: LaTeX, 7 page
Sp(2)-Symmetric Lagrangian BRST Quantization
One Lagrangian BRST quantization principle is that of imposing correct
Schwinger-Dyson equations through the BRST Ward identities. In this paper we
show how to derive the analogous -symmetric quantization condition in
flat coordinates from an underlying -symmetric Schwinger-Dyson BRST
symmetry. We also show under what conditions this can be recast in the language
of triplectic quantization.Comment: LaTeX, 19 page
Superfield Formulation of the Phase Space Path Integral
We give a superfield formulation of the path integral on an arbitrary curved
phase space, with or without first class constraints. Canonical tranformations
and BRST transformations enter in a unified manner. The superpartners of the
original phase space variables precisely conspire to produce the correct path
integral measure, as Pfaffian ghosts. When extended to the case of second-class
constraints, the correct path integral measure is again reproduced after
integrating over the superpartners. These results suggest that the superfield
formulation is of first-principle nature.Comment: 6 pages, LaTe
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