Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4

Details Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4 Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4

1999-10-25

arxiv.org/abs/hep-th/9910197v1

JHEP 9912:006,1999

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 6 figures

Scientific paper

10.1088/1126-6708/1999/12/006

We compute two-point functions of chiral operators Tr \Phi^3 in {\cal N}=4 SU(N) supersymmetric Yang-Mills theory to the order g^4 in perturbation theory. We perform explicit calculations using {\cal N}=1 superspace techniques and find that perturbative corrections to the correlators vanish for all N. While at order g^2 the cancellations can be ascribed to the nonrenormalization theorem valid for correlators of operators in the same multiplet as the stress tensor, at order g^4 this argument no longer applies and the actual cancellation occurs in a highly nontrivial way. Our result is obtained in complete generality, without the need of additional conjectures or assumptions. It gives further support to the belief that such correlators are not renormalized to all orders in g and to all orders in N.

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