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Fluctuations and Conservation Laws

We report on recent progress concerning effects of global conservation laws on cumulants of conserved quantities. Specifically, we will relate for an arbitrary equation of state cumulants of a conserved charge measured in a subvolume of a thermal system with the corresponding grandcanonical susceptibilities, taking into account exact global conservation of that charge. Applications to actual measurement at the RHIC and LHC as well as extensions to multiple conserved charges will be discussed.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Searching for the QCD Critical Point Along the Pseudo-critical/Freeze-out Line Using Padé-resummed Taylor Expansions of Cumulants of Conserved Charge Fluctuations

Using high-statistics datasets generated in (2+1)-flavor QCD calculations at finite temperature we construct estimators for the radius of convergence from an eighth order series expansion of the pressure as well as the number density. We show that the estimator for pressure and number density will be identical in the asymptotic limit. In the vicinity of the pseudo-critical temperature, T pc ≃ 156.5 MeV, we find the estimator of the radius of convergence to be µ B /T ≳ 3 for strangeness-neutral matter. We also present results for the pole structure of the Pad´e approximants for the pressure at non-zero values of the baryon chemical potential and show that the pole structure of the [4,4] Pad´e is consistent with not having a critical point at temperatures larger than 135 MeV and a baryon chemical potential smaller than µ B /T ~ 2.5.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗