3 years ago

New nonperturbative scales and glueballs in confining supersymmetric gauge theories.

Erich Poppitz, Mohamed M. Anber

We show that new nonperturbative scales exist in four-dimensional ${\cal{N}}$=$1$ 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 $e^{- e^{1/g^2}}$ 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.

Publisher URL: http://arxiv.org/abs/1711.00027

DOI: arXiv:1711.00027v1

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