Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-28
Nucl.Phys. B613 (2001) 64-86; Erratum-ibid. B648 (2003) 453-454
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 7 figures. v4: factor of 2 corrected in formula in the first line after (6.3), and consequently in (6.3)-(6.6); fina
Scientific paper
10.1016/S0550-3213(01)00368-6
We consider the N=4 supersymmetric Yang-Mills theory in four dimensions. We compute the one-loop contributions to the effective action with five external vector fields and compare them with corresponding results in open superstring theory. Our calculation determines the structure of the F^5 terms that appear in the nonabelian generalization of the Born Infeld action. The trace operation on the gauge group indices receives contributions from the symmetric as well as the antisymmetric part. We find that in order to study corrections to the symmetrized trace prescription one has to consistently take into account derivative contributions not only with antisymmetrized products \nabla_{[\mu}\nabla_{\nu]} but also with symmetrized ones \nabla_{(\mu}\nabla_{\nu)}.
Refolli Andrea
Santambrogio Alberto
Terzi Niccolo'
Zanon Daniela
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