Limiting Geometries of Two Circular Maldacena-Wilson Loop Operators

Details Limiting Geometries of Two Circular Maldacena-Wilson Loop Operators Limiting Geometries of Two Circular Maldacena-Wilson Loop Operators

2001-11-30

arxiv.org/abs/hep-th/0111290v1

JHEP 0112 (2001) 014

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, numerous figures

Scientific paper

10.1088/1126-6708/2001/12/014

We further analyze a recent perturbative two-loop calculation of the expectation value of two axi-symmetric circular Maldacena-Wilson loops in N=4 gauge theory. Firstly, it is demonstrated how to adapt the previous calculation of anti-symmetrically oriented circles to the symmetric case. By shrinking one of the circles to zero size we then explicitly work out the first few terms of the local operator expansion of the loop. Our calculations explicitly demonstrate that circular Maldacena-Wilson loops are non-BPS observables precisely due to the appearance of unprotected local operators. The latter receive anomalous scaling dimensions from non-ladder diagrams. Finally, we present new insights into a recent conjecture claiming that coincident circular Maldacena-Wilson loops are described by a Gaussian matrix model. We report on a novel, supporting two-loop test, but also explain and illustrate why the existing arguments in favor of the conjecture are flawed.

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