Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

Vovchenko, Volodymyr; Pasztor, Attila; Fodor, Zoltan; Katz, Sandor D.; Stoecker, Horst

doi:10.1016/j.physletb.2017.10.042

Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential

Volodymyr Vovchenko
(
- Frankfurt U. and
- Frankfurt U., FIAS and
- Taras Shevchenko U.
)
,
Attila Pasztor
(
- Wuppertal U.
)
,
Zoltan Fodor
(
)
,
Sandor D. Katz
(
- Eotvos Lorand U., Budapest, Inst. Theor. Phys. and
- MTA-DE, Debrecen
)
,
Horst Stoecker
(
- Darmstadt, GSI and
- Frankfurt U. and
- Frankfurt U., FIAS
)

Aug 9, 2017

8 pages

Published in:

Phys.Lett.B 775 (2017) 71-78

Published: Dec 10, 2017

e-Print:

1708.02852 [hep-ph]

DOI:

10.1016/j.physletb.2017.10.042

View in:

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Abstract: (Elsevier)

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 χ2B−χ4B of baryon number susceptibilities is reproduced up to T≃175 MeV .

Note:

11 pages, 4 figures, new Fig. 2 depicting $\chi_2^B - \chi_4^B$, version accepted for publication in Physics Letters B

Hadron resonance gas
Excluded volume
Imaginary chemical potential
potential: chemical
hadron: resonance: gas
lattice field theory
finite temperature
thermodynamical
baryon baryon
baryon: density

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