Connecting fluctuation measurements in heavy-ion collisions with the grand-canonical susceptibilities

  • We derive the relation between cumulants of a conserved charge measured in a subvolume of a thermal system and the corresponding grand-canonical susceptibilities, taking into account exact global conservation of that charge. The derivation is presented for an arbitrary equation of state, with the assumption that the subvolume is sufficiently large to be close to the thermodynamic limit. Our framework – the subensemble acceptance method (SAM) – quantifies the effect of global conservation laws and is an important step toward a direct comparison between cumulants of conserved charges measured in central heavy ion collisions and theoretical calculations of grand-canonical susceptibilities, such as lattice QCD. As an example, we apply our formalism to net-baryon fluctuations at vanishing baryon chemical potentials as encountered in collisions at the LHC and RHIC.

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Author:Volodymyr VovchenkoORCiDGND, Oleh SavchukORCiD, Roman V. PoberezhnyukORCiD, Mark I. GorensteinORCiDGND, Volker KochORCiD
Parent Title (German):Physics Letters B
Publisher:North-Holland Publ.
Place of publication:Amsterdam
Document Type:Article
Date of Publication (online):2020/10/16
Date of first Publication:2020/10/16
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2020/11/11
Tag:Conservation; Fluctuations of conserved charges; lawsHeavy-ion collisions
Page Number:6
Institutes:Physik / Physik
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0