A self-dual gauge model in four dimensions

Michael Stone

doi:10.1016/0550-3213(80)90435-6

A self-dual gauge model in four dimensions

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Abstract

We derive the gauge-theory analogue of the "generalized" X-Y model of Jose, Kadanoff, Kirkpartick and Nelson. This model is a "generalized" scalar electrodynamics which exhibits, in general, three phases: a Higgs phase, ordinary scalar electrodynamics and a confining phase. There is an exact duality map between the Higgs scalar QED and the confinement/freedom phase transitions. We also discuss whether the various transitions are first, order second order with cross-over phenomena, or whether there exists a tricritical point.

Original language	English (US)
Pages (from-to)	115-124
Number of pages	10
Journal	Nuclear Physics, Section B
Volume	162
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(80)90435-6
State	Published - Jan 7 1980
Externally published	Yes

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Nuclear and High Energy Physics

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10.1016/0550-3213(80)90435-6

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AB - We derive the gauge-theory analogue of the "generalized" X-Y model of Jose, Kadanoff, Kirkpartick and Nelson. This model is a "generalized" scalar electrodynamics which exhibits, in general, three phases: a Higgs phase, ordinary scalar electrodynamics and a confining phase. There is an exact duality map between the Higgs scalar QED and the confinement/freedom phase transitions. We also discuss whether the various transitions are first, order second order with cross-over phenomena, or whether there exists a tricritical point.

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A self-dual gauge model in four dimensions

Abstract

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