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New nonperturbative scales and glueballs in confining supersymmetric gauge theories

Anber, Mohamed M. and Poppitz, Erich (2018) 'New nonperturbative scales and glueballs in confining supersymmetric gauge theories.', Journal of high energy physics., 2018 (3). 052.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP03(2018)052
Publisher statement:Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
Date accepted:19 February 2018
Date deposited:04 October 2021
Date of first online publication:09 March 2018
Date first made open access:04 October 2021

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