New nonperturbative scales and glueballs in confining supersymmetric gauge theories

Anber, Mohamed M.; Poppitz, Erich

Abstract

We show that new nonperturbative scales exist in four-dimensional N = 1 super-Yang-Mills theory compactified on a circle, with an iterated-exponential dependence on the inverse gauge coupling. The lightest states with the quantum numbers of four-dimensional glueballs are nonrelativistic bound states of dual Cartan gluons and superpartners, with binding energy equal to e−e1/g2 in units of the confining mass gap. Focusing on SU(2) gauge group, we construct the nonrelativistic effective theory, show that the lightest glueball/glueballino states fill a chiral supermultiplet, and determine their “doubly-nonperturbative” binding energy. The iterated-exponential dependence on the gauge coupling is due to nonperturbative couplings in the long distance theory, λ∼e−1g2, which are responsible for attractive interactions, in turn producing exponentially small, ∼e−1λ, effects.

Citation

Anber, M. M., & Poppitz, E. (2018). New nonperturbative scales and glueballs in confining supersymmetric gauge theories. Journal of High Energy Physics, 2018(3), Article 052. https://doi.org/10.1007/jhep03%282018%29052

• Journal Article Type: Article
• Acceptance Date: Feb 19, 2018
• Online Publication Date: Mar 9, 2018
• Publication Date: 2018
• Deposit Date: Oct 3, 2021
• Publicly Available Date: Oct 4, 2021
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 3
• Article Number: 052
• DOI: https://doi.org/10.1007/jhep03%282018%29052
• Public URL: https://durham-repository.worktribe.com/output/1234691
• Related Public URLs: https://arxiv.org/abs/1711.00027