Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory

Details Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory

2001-08-24

arxiv.org/abs/hep-th/0108182v1

JHEP 0109:031,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure

Scientific paper

10.1088/1126-6708/2001/09/031

We present a full two-loop O(g^6) perturbative field theoretic calculation of the expectation value of two circular Maldacena-Wilson loops in D=4 N=4 supersymmetric U(N) gauge theory. It is demonstrated that, after taking into account very subtle cancellations of bulk and boundary divergences, the result is completely finite without any renormalization. As opposed to previous lower order calculations existing in the literature, internal vertex diagrams no longer cancel identically and lead to subleading corrections to the dominant ladder diagrams. Taking limits, we proceed to extract the two-loop static potential corresponding to two infinite anti-parallel lines. Our result gives some evidence that the existing strong-coupling calculations using the AdS/CFT conjecture might sum up the full set of large N planar Feynman diagrams.

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