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

TL;DR

This paper calculates the gluonic field distribution around a static particle in N=4 SU(N) SYM using AdS/CFT, revealing that the effective charge matches previous radiation loss results, and does so to all orders in 1/N.

Contribution

It provides a novel all-orders in 1/N computation of gluonic fields around a static probe in N=4 SYM via holography, linking it to energy loss phenomena.

Findings

Effective chromo-electric charge matches radiation loss calculations.

Gluonic field expectation value computed holographically.

Results valid 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.