Four-point functions in N=4 SYM

Details Four-point functions in N=4 SYM Four-point functions in N=4 SYM

2002-11-26

arxiv.org/abs/hep-th/0211252v2

JHEP 0301 (2003) 043

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes made to text

Scientific paper

10.1088/1126-6708/2003/01/043

A new derivation is given of four-point functions of charge $Q$ chiral primary multiplets in N=4 supersymmetric Yang-Mills theory. A compact formula, valid for arbitrary $Q$, is given which is manifestly superconformal and analytic in the internal bosonic coordinates of analytic superspace. This formula allows one to determine the spacetime four-point function of any four component fields in the multiplets in terms of the four-point function of the leading chiral primary fields. The leading term is expressed in terms of $1/2 Q(Q-1)$ functions of two conformal invariants and a number of single variable functions. Crossing symmetry reduces the number of independent functions, while the OPE implies that the single-variable functions arise from protected operators and should therefore take their free form. This is the partial non-renormalisation property of such four-point functions which can be viewed as a consequence of the OPE and the non-renormalisation of three-point functions of protected operators.

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