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

Anber, Mohamed M.; Zhitnitsky, Ariel R.

Abstract

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.

Citation

Anber, M. M., & Zhitnitsky, A. R. (2017). Oblique confinement at θ≠0 in weakly coupled gauge theories with deformations. Physical Review D, 96(7), Article 074022. https://doi.org/10.1103/physrevd.96.074022

• Journal Article Type: Article
• Online Publication Date: Oct 20, 2017
• Publication Date: Oct 1, 2017
• Deposit Date: Oct 3, 2021
• Publicly Available Date: Oct 5, 2021
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 7
• Article Number: 074022
• DOI: https://doi.org/10.1103/physrevd.96.074022