Gauge Theory on a Quantum Phase Space
Luis Alvarez-Gaume, Spenta R. Wadia
TL;DR
This paper develops an operator-based formulation of gauge theories within a quantum phase space defined by the Heisenberg algebra, introducing derivatives and Wilson lines to facilitate gauge theory construction.
Contribution
It presents a novel operator algebra approach to gauge theories in quantum phase space, including the formulation of derivatives and Wilson lines.
Findings
Operator formulation of gauge theories in quantum phase space.
Introduction of derivatives and Wilson lines for gauge construction.
Discussion of Higgs mechanism within this framework.
Abstract
In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.