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

Beccaria, Matteo; Forini, Valentina

doi:10.1088/1126-6708/2007/11/031

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

Matteo Beccaria
(
- Salento U. and
- INFN, Lecce
)
,
Valentina Forini
(
- Humboldt U., Berlin and
- Perugia U. and
- INFN, Perugia
)

Oct, 2007

27 pages

Published in:

JHEP 11 (2007) 031

e-Print:

0710.0217 [hep-th]

DOI:

10.1088/1126-6708/2007/11/031

Report number:

HU-EP-07-29

View in:

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Abstract: (arXiv)

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.

11.15.-q
11.30.Pb
14.70.Dj
gauge field theory: Yang-Mills
supersymmetry: 4
gluon: operator
perturbation theory: higher-order
ferromagnet
group theory: representation
higher-order: 5

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