Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
Jan, 2012
45 pages
Published in:
- JHEP 04 (2012) 038
e-Print:
- 1201.0992 [hep-th]
Report number:
- HU-EP-12-02,
- QMUL-PH-11-23
View in:
Citations per year
Abstract: (arXiv)
We report on a systematic perturbative study of three-point functions in planar SU(N) N=4 super Yang-Mills theory at the one-loop level involving scalar field operators up to length five. For this we have computed a sample of 40 structure constants involving primary operators of up to and including length five which are built entirely from scalar fields. A combinatorial dressing technique has been developed to promote tree-level correlators to one-loop level. In addition we have resolved the mixing up to the order (g_YM)^2 level of the operators involved, which amounts to mixings with bi-fermions, with bi-derivative insertions as well as self-mixing contributions in the scalar sector. This work supersedes a preprint by two of the authors from 2010 which had neglected the mixing contributions.Note:
- 45, 5 tables, many figures. arXiv admin note: substantial text overlap with arXiv:1007.2356
- n-point function: 3
- supersymmetry: 4
- operator: scalar
- operator: mixing
- operator: primary
- approximation: planar
- correlation function
- perturbation theory
- gauge field theory: SU(N)
- operator: BPS
References(87)
Figures(2)