Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories
Lorenzo Leal
Abstract
Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of non local operators that resembles the order-disorder dual algebra of 't Hooft. These dual operators provide a complete description of the physical phase space of the theories.
Create a lesson
Related papers
Non-Coulomb Q-Cohomology and Quantum Lifting
Tanay Kibe, Sam van Leuven, Kayleigh Mathieson
Aspects of Codimension two Holography in de Sitter Space
Kanhu Kishore Nanda, Somnath Porey, Masataka Watanabe et al.
Monopole-deformed Kim-Park dualities from elementary dualities
Sungjoon Kim, Jehyun Lee
Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model
D. Miguélez-Caballero, S. Navarro-Obregón, Muneto Nitta et al.
One generation of the Standard Model as a quantum error-correcting code
Shiroman Prakash, K. L. Ramya
Renormalization of Quantum Gravity with Lagrange Multiplier Fields
F. T. Brandt, J. Frenkel, S. Martins-Filho et al.