Global gauge conditions in the Batalin-Vilkovisky formalism
Ezra Getzler, Sean Weinz Pohorence
TL;DR
This paper explores how to patch gauge conditions in the Batalin-Vilkovisky formalism and extends the light-cone gauge for the superparticle to a broader momentum space region.
Contribution
It introduces a method for patching gauge conditions across different regions and applies it to extend the light-cone gauge in superparticle theory.
Findings
Developed a patching method for gauge conditions in BV formalism
Extended the light-cone gauge to a conic neighborhood in momentum space
Provided a framework for handling gauge conditions in complex field spaces
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.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Particle Accelerators and Free-Electron Lasers · Quantum and Classical Electrodynamics