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Heavy quarks in the early stage of high energy nuclear collisions at RHIC and LHC: Brownian motion versus diffusion in the evolving Glasma

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arxiv 2110.14610 v1 pith:DDV26OVY submitted 2021-10-27 hep-ph nucl-th

Heavy quarks in the early stage of high energy nuclear collisions at RHIC and LHC: Brownian motion versus diffusion in the evolving Glasma

Pooja , Santosh K. Das , Lucia Oliva , Marco Ruggieri This is my paper
classification hep-ph nucl-th
keywords diffusionfieldsglasmabroadeningmotionenergyevolvingquarks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the transverse momentum, $p_T$, broadening of charm and beauty quarks in the early stage of high energy nuclear collisions. We aim to compare the diffusion in the evolving Glasma fields with that of a standard, Markovian-Brownian motion in a thermalized medium with the same energy density of the Glasma fields. The Brownian motion is studied via Langevin equations with diffusion coefficients computed within perturbative Quantum Chromodynamics. We find that for small values of the saturation scale, $Q_s$, the average $p_T$ broadening in the two motions is comparable, that suggests that the diffusion coefficient in the evolving Glasma fields is in agreement with the perturbative calculations. On the other hand, for large $Q_s$ the $p_T$ broadening in the Langevin motion is smaller than that in the Glasma fields. This difference can be related to the fact that heavy quarks in the latter system experience diffusion in strong, coherent gluon fields that leads to a faster momentum broadening due to memory, or equivalently to a strong correlation in the transverse plane.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Light-front Hamiltonian jet evolution in the Glasma

    hep-ph 2026-05 unverdicted novelty 7.0

    A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.

  2. Kinetic and canonical momentum broadening in the Glasma

    hep-ph 2026-04 unverdicted novelty 6.0

    Derives gauge-invariant equations of motion for kinetic and canonical momentum of particles in a classical non-Abelian background, finding that transverse fields contribute to kinetic momentum broadening even in the e...

  3. Covariant equations of motion of massive spinning particles in a background Yang-Mills field

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    A spinning quark in a background Yang-Mills field obeys a new, constraint-preserving, gauge-invariant set of classical equations of motion that reduce to the Wong equations when spin effects are turned off.

  4. Non-Markovian heavy-quark equilibration and equilibrium correlation function in a thermal medium

    hep-ph 2026-07 conditional novelty 4.0

    Memory (colored noise) changes the transient equilibration of heavy quarks but leaves their asymptotic spatial diffusion coefficient unchanged in this Langevin model.