An exact formula for the radiation of a moving quark in N=4 super Yang Mills

TL;DR

This paper derives an exact formula for the radiation emitted by a moving quark in N=4 super Yang-Mills theory, linking it to Wilson loops and supersymmetric localization, providing new insights into gauge theory dynamics.

Contribution

It introduces a novel exact formula for the cusp anomalous dimension at small angles using supersymmetric localization, connecting it to quark radiation in N=4 SYM.

Findings

Exact formula for cusp anomalous dimension at small angles

Relation between cusp anomalous dimension and Wilson loops

Calculation of radiation power emitted by a moving quark

Abstract

We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the coupling also determines the power emitted by a moving quark in N=4 super Yang Mills, as well as the coefficient of the two point function of the displacement operator on the Wilson loop. By a similar method we compute the near BPS expansion of the generalized cusp anomalous dimension.