TY - JOUR

T1 - Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

AU - Vovchenko, Volodymyr

AU - Pásztor, Attila

AU - Fodor, Zoltán

AU - Katz, Sandor D.

AU - Stoecker, Horst

N1 - Publisher Copyright:
© 2017 The Authors

PY - 2017/12/10

Y1 - 2017/12/10

N2 - The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that Fourier coefficients with respect to imaginary baryochemical potential are sensitive to modeling of baryonic interactions. As a first application of this sensitivity, we consider the hadron resonance gas (HRG) model with repulsive baryonic interactions, which are modeled by means of the excluded volume correction. The Fourier coefficients of the imaginary part of the net-baryon density at imaginary baryochemical potential – corresponding to the fugacity or virial expansion at real chemical potential – are calculated within this model, and compared with the Nt=12 lattice data. The lattice QCD behavior of the first four Fourier coefficients up to T≃185 MeV is described fairly well by an interacting HRG with a single baryon–baryon eigenvolume interaction parameter b≃1 fm3, while the available lattice data on the difference χ2 B−χ4 B of baryon number susceptibilities is reproduced up to T≃175 MeV.

AB - The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that Fourier coefficients with respect to imaginary baryochemical potential are sensitive to modeling of baryonic interactions. As a first application of this sensitivity, we consider the hadron resonance gas (HRG) model with repulsive baryonic interactions, which are modeled by means of the excluded volume correction. The Fourier coefficients of the imaginary part of the net-baryon density at imaginary baryochemical potential – corresponding to the fugacity or virial expansion at real chemical potential – are calculated within this model, and compared with the Nt=12 lattice data. The lattice QCD behavior of the first four Fourier coefficients up to T≃185 MeV is described fairly well by an interacting HRG with a single baryon–baryon eigenvolume interaction parameter b≃1 fm3, while the available lattice data on the difference χ2 B−χ4 B of baryon number susceptibilities is reproduced up to T≃175 MeV.

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U2 - 10.1016/j.physletb.2017.10.042

DO - 10.1016/j.physletb.2017.10.042

M3 - Article

AN - SCOPUS:85036629173

SN - 0370-2693

VL - 775

SP - 71

EP - 78

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -