Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
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 pot...
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Elsevier
2017-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317308547 |
| _version_ | 1819088948933165056 |
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| author | Volodymyr Vovchenko Attila Pásztor Zoltán Fodor Sandor D. Katz Horst Stoecker |
| author_facet | Volodymyr Vovchenko Attila Pásztor Zoltán Fodor Sandor D. Katz Horst Stoecker |
| author_sort | Volodymyr Vovchenko |
| collection | DOAJ |
| description | 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 â corresponding to the fugacity or virial expansion at real chemical potential â 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 Tâ185 MeV is described fairly well by an interacting HRG with a single baryonâbaryon eigenvolume interaction parameter bâ1 fm3, while the available lattice data on the difference Ï2BâÏ4B of baryon number susceptibilities is reproduced up to Tâ175 MeV. Keywords: Hadron resonance gas, Excluded volume, Imaginary chemical potential |
| first_indexed | 2024-12-21T22:00:09Z |
| format | Article |
| id | doaj.art-4c1d8405873c477983c61108dc260937 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T22:00:09Z |
| publishDate | 2017-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-4c1d8405873c477983c61108dc2609372022-12-21T18:48:50ZengElsevierPhysics Letters B0370-26932017-12-017757178Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potentialVolodymyr Vovchenko0Attila Pásztor1Zoltán Fodor2Sandor D. Katz3Horst Stoecker4Institut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany; Frankfurt Institute for Advanced Studies, Giersch Science Center, Goethe Universität Frankfurt, Ruth-Moufang-Str. 1, D-60438 Frankfurt am Main, Germany; Department of Physics, Taras Shevchenko National University of Kiev, Glushkova Ave 2, 03022 Kiev, Ukraine; Corresponding author.Department of Physics, Wuppertal University, Gaussstr. 20, D-42119 Wuppertal, GermanyDepartment of Physics, Wuppertal University, Gaussstr. 20, D-42119 Wuppertal, Germany; Institute for Theoretical Physics, Eötvös University, Pázmány P. sétány 1/A, H-1117 Budapest, Hungary; Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, GermanyInstitute for Theoretical Physics, Eötvös University, Pázmány P. sétány 1/A, H-1117 Budapest, Hungary; MTA-ELTE âLendületâ Lattice Gauge Theory Research Group, Pázmány P. sétány 1/A, H-1117 Budapest, HungaryInstitut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany; Frankfurt Institute for Advanced Studies, Giersch Science Center, Goethe Universität Frankfurt, Ruth-Moufang-Str. 1, D-60438 Frankfurt am Main, Germany; GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, D-64291 Darmstadt, GermanyThe 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 â corresponding to the fugacity or virial expansion at real chemical potential â 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 Tâ185 MeV is described fairly well by an interacting HRG with a single baryonâbaryon eigenvolume interaction parameter bâ1 fm3, while the available lattice data on the difference Ï2BâÏ4B of baryon number susceptibilities is reproduced up to Tâ175 MeV. Keywords: Hadron resonance gas, Excluded volume, Imaginary chemical potentialhttp://www.sciencedirect.com/science/article/pii/S0370269317308547 |
| spellingShingle | Volodymyr Vovchenko Attila Pásztor Zoltán Fodor Sandor D. Katz Horst Stoecker Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential Physics Letters B |
| title | Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential |
| title_full | Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential |
| title_fullStr | Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential |
| title_full_unstemmed | Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential |
| title_short | Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential |
| title_sort | repulsive baryonic interactions and lattice qcd observables at imaginary chemical potential |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317308547 |
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