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arXiv · 0710.0217

Anomalous dimensions of finite size field strength operators in N=4 SYM

Matteo Beccaria·Valentina Forini
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Abstract

In the N=4 super Yang-Mills theory, we consider the higher order anomalous dimensions gamma_L(g) of purely gluonic operators Tr(F^L) where F is a component of the self-dual field strength. We propose compact closed expressions depending parametrically on L that reproduce the prediction of Bethe Ansatz equations up to five loop order, including transcendental dressing corrections. The size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators.

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Matteo Beccaria, Valentina Forini. 2007-11-14. Anomalous dimensions of finite size field strength operators in N=4 SYM. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F031

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