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Universal scaling properties of QCD close to the chiral limit

Oct 29, 2020

10 pages

Published in:

Acta Phys.Polon.Supp. 14 (2021) 291

Contribution to:

Criticality in QCD and the Hadron Resonance Gas

e-Print:

2010.15593 [hep-lat]

DOI:

10.5506/APHYSPOLBSUPP.14.291 (publication)

View in:

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Abstract: (arXiv)

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two massless (up and down) and one strange quark having its physical mass. We propose and calculate two novel estimators for the chiral transition temperature for several values of the light quark masses, corresponding to Goldstone pion masses in the range of

58~{\rm MeV}\lesssim m_\pi\lesssim 163~{\rm MeV}

. The chiral phase transition temperature is determined by extrapolating to vanishing pion mass using universal scaling relations. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature

T_c^0=132^{+3}_{-6}

MeV. We also show some preliminary calculations that use the conventional estimator for the pseudo-critical temperature and compare with the new estimators for

T_c^0

. Furthermore, we show results for the ratio of the chiral order parameter and its susceptibility and argue that this ratio can be used to differentiate between

O(N)

and

Z_2

universality classes in a non-parametric manner.

Note:

10 pages, 6 figures, contribution to the proceeding of workshop on Criticality in QCD and the Hadron Resonance Gas; 29-31 July 2020, Wroclaw, Poland

critical phenomena: chiral
critical phenomena: temperature
pi: mass
transition: chiral
temperature: transition
quark: mass
estimator
quantum chromodynamics
scaling
lattice field theory

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