Global gauge conditions in the Batalin-Vilkovisky formalism

Abstract

In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge conditions over different parts of the space of fields, and apply this method to extend the light-cone gauge for the superparticle to a conic neighbourhood of the forward light-cone in momentum space.

23 pages, revised version accepted for publication. Amended Corollary 5.3 to show invariance of partition function under isotopies of Lagrangians