Communication Dans Un Congrès Année : 2022

Anomalous dimension of transverse momentum broadening in planar $\mathcal{N}=4$ SYM

Résumé

The typical transverse momentum $Q_s(t)$ (or "saturation" momentum) acquired by a hard particle propagating through a $\mathcal{N}=4$ SYM plasma increases over time like $t^\gamma$, with an anomalous exponent $\gamma>1/2$ characteristic of super-diffusion. This anomalous exponent is a function of the 't Hooft coupling $\lambda=g^2N_c$. Recently, a method has been proposed to systematically compute the perturbative series of $\gamma(\lambda)$ at weak coupling. This method relies on the traveling wave interpretation of the time evolution of $Q_s(t)$ and on the dominance of soft-collinear radiative corrections at large times. In this paper, we compute $\gamma(\lambda)$ up to $\mathcal{O}(\lambda^{2})$ using the double logarithmic behaviour of the BFKL equation in planar $\mathcal{N}=4$ SYM at three loops. This calculation allows us to discuss the transition towards the strong coupling regime where AdS/CFT calculations predict $\gamma\to 1$.

Dates et versions

hal-03882951 , version 1 (02-12-2022)

Identifiants

Citer

Paul Caucal. Anomalous dimension of transverse momentum broadening in planar $\mathcal{N}=4$ SYM. 15th Conference on Quark Confinement and the Hadron Spectrum, Aug 2022, Stavanger, Norway. pp.05018, ⟨10.1051/epjconf/202227405018⟩. ⟨hal-03882951⟩
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