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Title: Momentum scale dependence of the net quark number fluctuations near chiral crossover
Authors: Morita, Kenji
Redlich, Krzysztof
Author's alias: 森田, 健司
Keywords: A40
Issue Date: 1-Apr-2015
Publisher: Oxford University Press
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2015
Issue: 4
Thesis number: 43D03
Abstract: We investigate properties of the net baryon number fluctuations near chiral crossover in a hot and dense medium of strongly interacting quarks. The chirally invariant quark–antiquark interactions are modeled by an effective quark–meson Lagrangian. To preserve remnants of criticality in the O(4) universality class, we apply the functional renormalization group method to describe thermodynamics near chiral crossover. Our studies are focused on the influence of the momentum cuts on the critical behavior of different cumulants of the net quark number fluctuations. We use the momentum scale dependence of the flow equation to examine how the suppression of the momentum modes in the infrared and ultraviolet regimes modifies generic properties of fluctuations expected in the O(4) universality class. We show that the pion mass m[π] is a natural soft momentum scale at which cumulants are saturated at their critical values, whereas for scales larger than 2m[π] the characteristic O(4) structure of the higher-order cumulants gets lost. These results indicate that when measuring fluctuations of the net baryon number in heavy ion collisions to search for a partial restoration of chiral symmetry or critical point, special care must be taken when introducing kinematical cuts on the fluctuation measurements.
Description: Funded by SCOAP3
Rights: © The Author(s) 2015. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
DOI(Published Version): 10.1093/ptep/ptv047
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