On the question of deconfinement in noncommutative Schwinger Model

TL;DR

This paper investigates how noncommutative geometry affects the confinement-deconfinement transition in the 1+1 dimensional Schwinger model, finding that noncommutativity does not alter the deconfining limit despite introducing new features.

Contribution

It extends the analysis of the Schwinger model to noncommutative space, showing the deconfinement transition remains unaffected by space-time fuzziness.

Findings

Noncommutativity introduces new features in confinement.

Deconfining limit remains unchanged in noncommutative scenario.

Fuzziness of space-time does not affect the deconfinement transition.

Abstract

The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a noncommutative scenario to investigate the fate of the transition from confinement to deconfinement observed in the commutative setting. We show that though the fuzziness of space time introduces new features in the confinement scenario, it does not affect the deconfining limit.