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Oblique confinement at θ≠0 in weakly coupled gauge theories with deformations

Anber, Mohamed M. and Zhitnitsky, Ariel R. (2017) 'Oblique confinement at θ≠0 in weakly coupled gauge theories with deformations.', Physical review D., 96 (7). 074022.


The main focus of this work is to test the ideas related to the oblique confinement in a theoretically controllable manner using the “deformed QCD” as a toy model. We explicitly show that the oblique confinement in the weakly coupled gauge theories emerges as a result of condensation of N types of monopoles shifted by the phase exp ( i θ + 2 π m N ) in Bloch type construction. It should be contrasted with the conventional and commonly accepted viewpoint that the confinement at θ ≠ 0 is due to the condensation of the electrically charged dyons which indeed normally emerge in the systems with θ ≠ 0 as a result of Witten’s effect. We explain the basic reason why the “dyon” mechanism does not materialize—it is because the Witten’s effect holds for a static magnetic monopole treated as an external source. It should be contrasted with our case when N -types of monopoles are not static, but rather the dynamical degrees of freedom which fluctuate and themselves determine the ground state of the system.

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Publisher statement:Reprinted with permission from the American Physical Society: Anber, Mohamed M. & Zhitnitsky, Ariel R. (2017). Oblique confinement at θ≠0 in weakly coupled gauge theories with deformations. Physical Review D 96(7): 074022. © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:No date available
Date deposited:05 October 2021
Date of first online publication:20 October 2017
Date first made open access:05 October 2021

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