Solving the QCD effective kinetic theory with neural networks

Fuente: arXiv
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Autori principali: Cabodevila, Sergio Barrera, Kurkela, Aleksi, Lindenbauer, Florian
Natura: Preprint
Pubblicazione: 2025
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author Cabodevila, Sergio Barrera
Kurkela, Aleksi
Lindenbauer, Florian
author_facet Cabodevila, Sergio Barrera
Kurkela, Aleksi
Lindenbauer, Florian
contents Event-by-event QCD kinetic theory simulations are hindered by the large numerical cost of evaluating the high-dimensional collision integral in the Boltzmann equation. In this work, we show that a neural network can be used to obtain an accurate estimate of the collision integral in a fraction of the time required for the ordinary Monte Carlo evaluation of the integral. We demonstrate that for isotropic and anisotropic distribution functions, the network accurately predicts the time evolution of the distribution function, which we verify by performing traditional evaluations of the collision integral and comparing several moments of the distribution function. This work sets the stage for an event-by-event modeling of the pre-equilibrium initial stages in heavy-ion collisions.
format Preprint
id arxiv_https___arxiv_org_abs_2506_19632
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Solving the QCD effective kinetic theory with neural networks
Cabodevila, Sergio Barrera
Kurkela, Aleksi
Lindenbauer, Florian
High Energy Physics - Phenomenology
Nuclear Theory
Event-by-event QCD kinetic theory simulations are hindered by the large numerical cost of evaluating the high-dimensional collision integral in the Boltzmann equation. In this work, we show that a neural network can be used to obtain an accurate estimate of the collision integral in a fraction of the time required for the ordinary Monte Carlo evaluation of the integral. We demonstrate that for isotropic and anisotropic distribution functions, the network accurately predicts the time evolution of the distribution function, which we verify by performing traditional evaluations of the collision integral and comparing several moments of the distribution function. This work sets the stage for an event-by-event modeling of the pre-equilibrium initial stages in heavy-ion collisions.
title Solving the QCD effective kinetic theory with neural networks
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2506.19632