Applications of Persistent Homology in Nuclear Collisions

Abstract

We introduce a novel set of observables associated to the rapidly developing field of persistent homology for the quantitative characterization of nuclear collisions and their evolution. Persistent homology allows for the identification of topological and homological characteristics of distributions in multi-dimensional spaces. We demonstrate here how to apply the toolset of persistent homology to the extraction of novel clustering signatures and the identification of long-range flow correlations in the particle production process of nuclear collisions.

References in corpus (12)

• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• Neutron Star Equation of State in light of GW190814
• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• Free-streaming approximation in early dynamics of relativistic heavy-ion collisions
• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies
• Finding self-similar behavior in quantum many-body dynamics via persistent homology
• General balance functions of identified charged hadron pairs of $(\pi ,\mathrm{K},\mathrm{p})$ in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Ultrarelativistic heavy ion collisions: the first billion seconds
• Many-body forces and nucleon clustering near the QCD critical point

Cited by in corpus (2)

• Topological Data Analysis in smart manufacturing: State of the art and futuredirections
• Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning