Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology
The axion is one of the more interesting candidates to make the dark matter of the universe, and the axion potential plays a fundamental role in the determination of the dynamics of the axion field. Moreover, the way in which the U(1)A anomaly manifests itself in the chiral symmetry restored phase o...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817504007 |
| _version_ | 1819132236880936960 |
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| author | Azcoiti Vicente |
| author_facet | Azcoiti Vicente |
| author_sort | Azcoiti Vicente |
| collection | DOAJ |
| description | The axion is one of the more interesting candidates to make the dark matter of the universe, and the axion potential plays a fundamental role in the determination of the dynamics of the axion field. Moreover, the way in which the U(1)A anomaly manifests itself in the chiral symmetry restored phase of QCD at high temperature could be tested when probing the QCD phase transition in relativistic heavy ion collisions. With these motivations, we investigate the physical consequences of the survival of the effects of the U(1)A anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a singular function of the quark mass m, in the chiral limit, and that the σ and π susceptibilities diverge in this limit at any T ≥ Tc. We also show that the difference between the π and δ susceptibilities diverges in the chiral limit at any T ≥ Tc, a result that can be contrasted with the existing lattice calculations; and discuss on the generalization of these results to the Nf ≥ 3 model. |
| first_indexed | 2024-12-22T09:28:12Z |
| format | Article |
| id | doaj.art-3d59c61c705349b3b824f38b360f49f6 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-22T09:28:12Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-3d59c61c705349b3b824f38b360f49f62022-12-21T18:31:01ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750400710.1051/epjconf/201817504007epjconf_lattice2018_04007Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmologyAzcoiti VicenteThe axion is one of the more interesting candidates to make the dark matter of the universe, and the axion potential plays a fundamental role in the determination of the dynamics of the axion field. Moreover, the way in which the U(1)A anomaly manifests itself in the chiral symmetry restored phase of QCD at high temperature could be tested when probing the QCD phase transition in relativistic heavy ion collisions. With these motivations, we investigate the physical consequences of the survival of the effects of the U(1)A anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a singular function of the quark mass m, in the chiral limit, and that the σ and π susceptibilities diverge in this limit at any T ≥ Tc. We also show that the difference between the π and δ susceptibilities diverges in the chiral limit at any T ≥ Tc, a result that can be contrasted with the existing lattice calculations; and discuss on the generalization of these results to the Nf ≥ 3 model.https://doi.org/10.1051/epjconf/201817504007 |
| spellingShingle | Azcoiti Vicente Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology EPJ Web of Conferences |
| title | Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology |
| title_full | Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology |
| title_fullStr | Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology |
| title_full_unstemmed | Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology |
| title_short | Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology |
| title_sort | topology in the su nf chiral symmetry restored phase of unquenched qcd and axion cosmology |
| url | https://doi.org/10.1051/epjconf/201817504007 |
| work_keys_str_mv | AT azcoitivicente topologyinthesunfchiralsymmetryrestoredphaseofunquenchedqcdandaxioncosmology |