Speaker
Description
We study the momentum broadening of a high energy quark jet in the high-density gluon medium created right after the collision of two ultrarrelativistic heavy nuclei, the Glasma. Previous Glasma studies consider the jet as a classical probe particle, for which position and momentum are simultaneously determined. In this talk, we use the light-front QCD Hamiltonian formalism [1,2] to treat the jet as a fully quantum state and compute its real-time evolution while propagating through the Glasma classical background fields, that appear as an interaction potential in the quantum evolution of the jet. We present results for the momentum broadening experienced by a jet at mid-rapidity, paying special attention to the anisotropies in the momentum broadening between the longitudinal and transverse directions with respect to the collision axis. We also carry out an analysis of the differences between the canonical momentum, conjugated to the position in the Lagrangian and the kinetic momentum which corresponds to the physical observable. For all our results we perform a comparison with the classical calculations that have been carried out so far [3].
[1] M. Li, X. Zhao, P. Maris, G. Chen, Y. Li, K. Tuchin, J. P. Vary, Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach. Phys. Rev. D 101, 076016 (2020). https://doi.org/10.1103/PhysRevD.101.076016
[2] M. Li, T. Lappi, X. Zhao, Scattering and gluon emission in a color field: A light-
front Hamiltonian approach. Phys. Rev. D 104, 056014 (2021). https://doi.org/10.1103/PhysRevD.104.056014
[3] . Ipp, D.I. Müller, D. Schuh, Jet momentum broadening in the 2 + 1D Glasma: Analytic weak field approximation and lattice simulations. Phys. Rev. D 102, 074001 (2020). https://doi.org/10.1103/PhysRevD.102.074001