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Connecting fluctuation measurements and grand canonical susceptibilities: global conservation effects
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Europe/Zurich
CERN
CERN
Description
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Password: 599847
Meeting ID: 632 500 0630
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We present the relation between cumulants of a conserved charge or non-conserved quantity measured in a subvolume of a thermal system and the corresponding grand-canonical susceptibilities, taking into account exact global conservation of charges. Explicit expressions for all diagonal and off-diagonal cumulants up to sixth order are obtained. The derivation is presented for an arbitrary equation of state with an arbitrary number of different conserved charges. Developed framework quantifies the effect of global conservation laws and is an important step toward a direct comparison between cumulants measured in central heavy ion collisions and theoretical calculations of grand-canonical susceptibilities, such as lattice QCD. The global conservation effects cancel out in any ratio of two second order cumulants, in any ratio of two third order cumulants, as well as in a ratio of strongly intensive measures, making all these quantities particularly suitable for theory-to-experiment comparisons in heavy-ion collisions. We also show that the same cancellation occurs in correlators of a conserved charge, like the electric charge, with any non-conserved quantity such as net proton or net kaon number.
