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New nonperturbative scales and glueballs in confining supersymmetric gauge theories

Anber, Mohamed M.; Poppitz, Erich

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Erich Poppitz


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.


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.

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
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 3
Article Number 052
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