One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit
Abstract An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups G = Z(N), U(N), SU(N) for all values of N and the number of fermion flavors N f . Calculated are the partition function, free energy, the Polyakov...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)008 |
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| author | O. Borisenko V. Chelnokov S. Voloshyn P. Yefanov |
| author_facet | O. Borisenko V. Chelnokov S. Voloshyn P. Yefanov |
| author_sort | O. Borisenko |
| collection | DOAJ |
| description | Abstract An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups G = Z(N), U(N), SU(N) for all values of N and the number of fermion flavors N f . Calculated are the partition function, free energy, the Polyakov loop expectation values, baryon density, quark condensate, meson and baryon correlation functions. Detailed analysis of the exact solutions is done for N = 2, 3 with one and two fermion flavors. In the large N f limit we uncover the Roberge-Weiss phase transition and discuss its remnants at finite N f . In the case of N f degenerate flavors we also calculate 1) the large N limit, 2) the large N f limit and 3) the ’t Hooft-Veneziano limit of all models. The critical behavior of the models in these limits is studied and the phase structure is described in details. A comparison of all limits with U(3) and SU(3) QCD is also performed. In order to achieve these results we explore several representations of the partition function of one-dimensional QCD obtained and described in the text. |
| format | Article |
| id | doaj-art-b4d3aba6f04948a483400229923b1e54 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b4d3aba6f04948a483400229923b1e542025-01-19T12:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114910.1007/JHEP01(2025)008One-dimensional QCD at finite density and its ’t Hooft-Veneziano limitO. Borisenko0V. Chelnokov1S. Voloshyn2P. Yefanov3INFN Gruppo Collegato di CosenzaInstitut für Theoretische Physik, Goethe-Universität FrankfurtN.N.Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of UkraineCzech Institute of Informatics, Robotics and Cybernetics, Czech Technical University in PragueAbstract An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups G = Z(N), U(N), SU(N) for all values of N and the number of fermion flavors N f . Calculated are the partition function, free energy, the Polyakov loop expectation values, baryon density, quark condensate, meson and baryon correlation functions. Detailed analysis of the exact solutions is done for N = 2, 3 with one and two fermion flavors. In the large N f limit we uncover the Roberge-Weiss phase transition and discuss its remnants at finite N f . In the case of N f degenerate flavors we also calculate 1) the large N limit, 2) the large N f limit and 3) the ’t Hooft-Veneziano limit of all models. The critical behavior of the models in these limits is studied and the phase structure is described in details. A comparison of all limits with U(3) and SU(3) QCD is also performed. In order to achieve these results we explore several representations of the partition function of one-dimensional QCD obtained and described in the text.https://doi.org/10.1007/JHEP01(2025)008Lattice QCDMatrix ModelsNon-Zero Temperature and DensityPhase Transitions |
| spellingShingle | O. Borisenko V. Chelnokov S. Voloshyn P. Yefanov One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit Journal of High Energy Physics Lattice QCD Matrix Models Non-Zero Temperature and Density Phase Transitions |
| title | One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit |
| title_full | One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit |
| title_fullStr | One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit |
| title_full_unstemmed | One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit |
| title_short | One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit |
| title_sort | one dimensional qcd at finite density and its t hooft veneziano limit |
| topic | Lattice QCD Matrix Models Non-Zero Temperature and Density Phase Transitions |
| url | https://doi.org/10.1007/JHEP01(2025)008 |
| work_keys_str_mv | AT oborisenko onedimensionalqcdatfinitedensityanditsthooftvenezianolimit AT vchelnokov onedimensionalqcdatfinitedensityanditsthooftvenezianolimit AT svoloshyn onedimensionalqcdatfinitedensityanditsthooftvenezianolimit AT pyefanov onedimensionalqcdatfinitedensityanditsthooftvenezianolimit |