Gluonic fields of a static particle to all orders in 1/N

Abstract

We determine the expectation value of the gauge invariant operator Tr [F^2+... ] for N=4 SU(N) SYM, in the presence of an infinitely heavy static particle in the symmetric representation of SU(N). We carry out the computation in the context of the AdS/CFT correspondence, by considering the perturbation of the dilaton field caused by the presence of a D3 brane dual to such an external probe. We find that the effective chromo-electric charge of the probe has exactly the same expression as the one recently found in the computation of energy loss by radiation.

10 pages. This preprint has been superseded by our more recent work arXiv:1202.5292