Confining proprties of a gas of Z(2) vortices
Srinath Cheluvaraja

TL;DR
This paper investigates Z(2) vortices in an SO(3) gauge theory, demonstrating that odd charges are confined with a string tension that diminishes exponentially as the inverse coupling increases.
Contribution
It introduces a dual representation to analyze Z(2) vortices and their confinement properties in a spontaneously broken SO(3) gauge theory.
Findings
Odd charges are confined with a string tension decreasing exponentially with inverse coupling.
A dilute gas approximation captures vortex-vortex interactions effectively.
Dual representation reveals confinement mechanism for Z(2) vortices.
Abstract
Vortex solutions are studied in an SO(3) gauge theory spontaneously broken to SO(2). These vortices have a Z(2) magnetic charge. A dilute gas of Z(2) vortices is studied taking into account vortex-vortex interactions. By going to a dual representation we show that odd charges are confined with a string tension which decreases exponentially with the inverse coupling.
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