2000/06/30 by Luis Álvarez-Gaumé, Luis Alvarez-Gaume, Spenta R. Wadia · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/s0370-2693(01)00125-3
published as Phys.Lett. B501 (2001) 319-325 · Latex, 13 pages, comments and refs. added
arxiv created 2000/08/14 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.