Phase structure of Zp models in the presence of a θ parameter

John L. Cardy; Eliezer Rabinovici

doi:10.1016/0550-3213(82)90463-1

Phase structure of Z_p models in the presence of a θ parameter

John L. Cardy^*, Eliezer Rabinovici

^*Corresponding author for this work

Racah Institute of Physics

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Abstract

We investigate the phase structure of Z_p lattice gauge models in 4 dimensions in the presence of a θ-parameter. In this system Witten's result that monopoles acquire a fractional charge is readily obtained. A very rich phase structure is uncovered as a function of p, θ and the coupling constant. In addition to the usual electric and magnetic condensations, the phases, suggested by 't Hooft, of dyonic condensation and oblique confinement occur. A two-dimensional model with analogous structure is constructed and analyzed by renormalization group methods.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Nuclear Physics B
Volume	205
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(82)90463-1
State	Published - 19 Apr 1982

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abstract = "We investigate the phase structure of Zp lattice gauge models in 4 dimensions in the presence of a θ-parameter. In this system Witten's result that monopoles acquire a fractional charge is readily obtained. A very rich phase structure is uncovered as a function of p, θ and the coupling constant. In addition to the usual electric and magnetic condensations, the phases, suggested by 't Hooft, of dyonic condensation and oblique confinement occur. A two-dimensional model with analogous structure is constructed and analyzed by renormalization group methods.",

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AB - We investigate the phase structure of Zp lattice gauge models in 4 dimensions in the presence of a θ-parameter. In this system Witten's result that monopoles acquire a fractional charge is readily obtained. A very rich phase structure is uncovered as a function of p, θ and the coupling constant. In addition to the usual electric and magnetic condensations, the phases, suggested by 't Hooft, of dyonic condensation and oblique confinement occur. A two-dimensional model with analogous structure is constructed and analyzed by renormalization group methods.

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Phase structure of Z_p models in the presence of a θ parameter

Abstract

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