THE PHYSICS OF DUAL VORTICES AND STATIC BARYONS + ABSTRACT The dual to Mandelstam's SU(N) models of magnetic confinement, which explicitly realize the superconducting phase of the SU(N) gauge theory, are constructed and shown to explicitly realize 't Hoeft's physical picture of the confining phase in 2 + 1 dimensions, in which * electric vortices are Bloch walls between ZN magnetic domains. These models generalize.Polyakov's SU(2) + U(l) compact QED model to SU(N) + U(l)N-l.. These models have also been considered by Wadia and Das. Static baryons in SU(3) are studied. A Hamiltonian analysis of the physics of confinement in these models is used to .ellucidate the beautiful correspondence of Hosatani, that the electric vortex in the Polyakov model is related to the naive dual of a magnetic vortex. in the insulating layer of a Josephson junction.
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2020
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Harvard data science review
- Publication date
2020-01-31
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