# Quark Matter 2018

May 13 – 19, 2018
Venice, Italy
Europe/Zurich timezone
The organisers warmly thank all participants for such a lively QM2018! See you in China in 2019!

## Finite-Size-Finite-Time Scaling of susceptibilities and susceptibility ratios; Implications for the search for the QCD Critical Point

May 15, 2018, 5:00 PM
2h 40m
First floor and third floor (Palazzo del Casinò)

### First floor and third floor

#### Palazzo del Casinò

Poster Phase diagram and search for the critical point

### Speaker

Roy Lacey (Stony Brook University)

### Description

Studies of the fluctuations of conserved charges (baryon number, electric charge, strangeness, etc.) can be used to chart the phases of strongly interacting QCD matter, as well as to locate the critical end-point (CEP) in the associated QCD phase diagram. The cumulants (and cumulant ratios) of the multiplicity distributions for conserved charges, which are linked to susceptibilities and their ratios, are predicted to be sensitive to the growth of fluctuations near the critical point, leading to detectable non-monotonic signatures for the CEP [1]. However, the effects of Finite-Size (FS) and Finite-Time (FT) complicate the search for the CEP, because they nullify the possible non-monotonic patterns, and shift the CEP's location to a so-called pseudo-critical point, different from its genuine location. Alternatively, Finite-Size-Finite-Time scaling (FSFTS) of susceptibilities and susceptibility ratios provide a robust avenue to search for the CEP and to characterize its critical exponents. I will describe the rudiments of FSFTS and present the scaling functions for the inverse compressibility ($\kappa^{-1}$) obtained from both the cumulant ratio $C_1/C_2$) for net-protons, and two-pion HBT radii, measured over a broad range of collision centralities in Au+Au collisions spanning the energy rage $\sqrt{s_{NN}}= 7.7 - 200$ GeV. The location of the CEP and the critical exponents estimated from these disparate measurements will be presented and discussed.

[1] M. Stephanov, PRL 102, 032301 (09)

Content type Theory Presenter name already specified

### Primary author

Roy Lacey (Stony Brook University)

### Presentation materials

There are no materials yet.