Exact results for static and radiative fields of a quark in N=4 super Yang-Mills

Details Exact results for static and radiative fields of a quark in N=4 super Yang-Mills Exact results for static and radiative fields of a quark in N=4 super Yang-Mills

2012-02-23

arxiv.org/abs/1202.5292v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. This submission supersedes our previous preprint arXiv:1112.2345. v2: numerical factors fixed, minor clarifications,

Scientific paper

In this work (which supersedes our previous preprint arXiv:1112.2345) we determine the expectation value of the N=4$ SU(N) SYM Lagrangian density operator in the presence of an infinitely heavy static particle in the symmetric representation of SU(N), by means of a D3-brane probe computation. The result that we obtain coincides with two previous computations of different observables, up to kinematical factors. We argue that these agreements go beyond the D-brane probe approximation, which leads us to propose an exact formula for the expectation value of various operators. In particular, we provide an expression for the total energy loss by radiation of a heavy particle in the fundamental representation.

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