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Novel self-consistent mean field approximation and its application in strong interaction phase transitions *
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| Zeitschriftentitel: | Chinese Physics C |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Chinese Physics C, 43, 2019, 8, S. 084102 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
IOP Publishing
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| Schlagwörter: |
| author_facet |
Wang, Fei Cao, Yakun Zong, Hongshi Wang, Fei Cao, Yakun Zong, Hongshi |
|---|---|
| author |
Wang, Fei Cao, Yakun Zong, Hongshi |
| spellingShingle |
Wang, Fei Cao, Yakun Zong, Hongshi Chinese Physics C Novel self-consistent mean field approximation and its application in strong interaction phase transitions * Astronomy and Astrophysics Instrumentation Nuclear and High Energy Physics |
| author_sort |
wang, fei |
| spelling |
Wang, Fei Cao, Yakun Zong, Hongshi 1674-1137 2058-6132 IOP Publishing Astronomy and Astrophysics Instrumentation Nuclear and High Energy Physics http://dx.doi.org/10.1088/1674-1137/43/8/084102 <jats:title>Abstract</jats:title> <jats:p>We propose a novel self-consistent mean field approximation method by means of a Fierz transformation, taking the Nambu-Jona-Lasinio model as an example. This new self-consistent mean field approximation introduces a new free parameter <jats:italic>α</jats:italic> to be determined experimentally. When <jats:italic>α</jats:italic> assumes the value of 0.5, the approximation reduces to the mean field calculation commonly used in the past. Subsequently, we study the influence of the undetermined parameter <jats:italic>α</jats:italic> on the phase diagram of the two-flavor strong interaction matter. The value of <jats:italic>α</jats:italic> plays a crucial role in the strong interaction phase diagram, as it not only changes the position of the phase transition point of strong interaction matter, but also affects the order of the phase transition. For example, when <jats:italic>α</jats:italic> is greater than the critical value <jats:inline-formula> <jats:tex-math><?CDATA $ \alpha_c = 0.71$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_084102_M100.jpg" xlink:type="simple" /> </jats:inline-formula>, then the strong interaction matter phase diagram no longer has a critical end point. In addition, in the case of zero temperature and finite density, we found that when <jats:italic>α</jats:italic> > 1.044, the pseudo-critical chemical potential corresponds to ~4–5 times the saturation density of the nuclear matter, which agrees with the expected results from the picture of the hadrons degree of freedom. The resulting equations of state of strong interaction matter at low temperatures and high densities will have an important impact on studies concerning the mass radius relationship of neutron stars and the merging process of binary neutron stars. </jats:p> Novel self-consistent mean field approximation and its application in strong interaction phase transitions * Chinese Physics C |
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10.1088/1674-1137/43/8/084102 |
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IOP Publishing, 2019 |
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IOP Publishing, 2019 |
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Chinese Physics C |
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| title |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_unstemmed |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_full |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_fullStr |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_full_unstemmed |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_short |
Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_sort |
novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| topic |
Astronomy and Astrophysics Instrumentation Nuclear and High Energy Physics |
| url |
http://dx.doi.org/10.1088/1674-1137/43/8/084102 |
| publishDate |
2019 |
| physical |
084102 |
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<jats:title>Abstract</jats:title>
<jats:p>We propose a novel self-consistent mean field approximation method by means of a Fierz transformation, taking the Nambu-Jona-Lasinio model as an example. This new self-consistent mean field approximation introduces a new free parameter <jats:italic>α</jats:italic> to be determined experimentally. When <jats:italic>α</jats:italic> assumes the value of 0.5, the approximation reduces to the mean field calculation commonly used in the past. Subsequently, we study the influence of the undetermined parameter <jats:italic>α</jats:italic> on the phase diagram of the two-flavor strong interaction matter. The value of <jats:italic>α</jats:italic> plays a crucial role in the strong interaction phase diagram, as it not only changes the position of the phase transition point of strong interaction matter, but also affects the order of the phase transition. For example, when <jats:italic>α</jats:italic> is greater than the critical value
<jats:inline-formula>
<jats:tex-math><?CDATA $ \alpha_c = 0.71$?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_084102_M100.jpg" xlink:type="simple" />
</jats:inline-formula>, then the strong interaction matter phase diagram no longer has a critical end point. In addition, in the case of zero temperature and finite density, we found that when <jats:italic>α</jats:italic> > 1.044, the pseudo-critical chemical potential corresponds to ~4–5 times the saturation density of the nuclear matter, which agrees with the expected results from the picture of the hadrons degree of freedom. The resulting equations of state of strong interaction matter at low temperatures and high densities will have an important impact on studies concerning the mass radius relationship of neutron stars and the merging process of binary neutron stars.
</jats:p> |
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| author | Wang, Fei, Cao, Yakun, Zong, Hongshi |
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| description | <jats:title>Abstract</jats:title> <jats:p>We propose a novel self-consistent mean field approximation method by means of a Fierz transformation, taking the Nambu-Jona-Lasinio model as an example. This new self-consistent mean field approximation introduces a new free parameter <jats:italic>α</jats:italic> to be determined experimentally. When <jats:italic>α</jats:italic> assumes the value of 0.5, the approximation reduces to the mean field calculation commonly used in the past. Subsequently, we study the influence of the undetermined parameter <jats:italic>α</jats:italic> on the phase diagram of the two-flavor strong interaction matter. The value of <jats:italic>α</jats:italic> plays a crucial role in the strong interaction phase diagram, as it not only changes the position of the phase transition point of strong interaction matter, but also affects the order of the phase transition. For example, when <jats:italic>α</jats:italic> is greater than the critical value <jats:inline-formula> <jats:tex-math><?CDATA $ \alpha_c = 0.71$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_084102_M100.jpg" xlink:type="simple" /> </jats:inline-formula>, then the strong interaction matter phase diagram no longer has a critical end point. In addition, in the case of zero temperature and finite density, we found that when <jats:italic>α</jats:italic> > 1.044, the pseudo-critical chemical potential corresponds to ~4–5 times the saturation density of the nuclear matter, which agrees with the expected results from the picture of the hadrons degree of freedom. The resulting equations of state of strong interaction matter at low temperatures and high densities will have an important impact on studies concerning the mass radius relationship of neutron stars and the merging process of binary neutron stars. </jats:p> |
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| spelling | Wang, Fei Cao, Yakun Zong, Hongshi 1674-1137 2058-6132 IOP Publishing Astronomy and Astrophysics Instrumentation Nuclear and High Energy Physics http://dx.doi.org/10.1088/1674-1137/43/8/084102 <jats:title>Abstract</jats:title> <jats:p>We propose a novel self-consistent mean field approximation method by means of a Fierz transformation, taking the Nambu-Jona-Lasinio model as an example. This new self-consistent mean field approximation introduces a new free parameter <jats:italic>α</jats:italic> to be determined experimentally. When <jats:italic>α</jats:italic> assumes the value of 0.5, the approximation reduces to the mean field calculation commonly used in the past. Subsequently, we study the influence of the undetermined parameter <jats:italic>α</jats:italic> on the phase diagram of the two-flavor strong interaction matter. The value of <jats:italic>α</jats:italic> plays a crucial role in the strong interaction phase diagram, as it not only changes the position of the phase transition point of strong interaction matter, but also affects the order of the phase transition. For example, when <jats:italic>α</jats:italic> is greater than the critical value <jats:inline-formula> <jats:tex-math><?CDATA $ \alpha_c = 0.71$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_084102_M100.jpg" xlink:type="simple" /> </jats:inline-formula>, then the strong interaction matter phase diagram no longer has a critical end point. In addition, in the case of zero temperature and finite density, we found that when <jats:italic>α</jats:italic> > 1.044, the pseudo-critical chemical potential corresponds to ~4–5 times the saturation density of the nuclear matter, which agrees with the expected results from the picture of the hadrons degree of freedom. The resulting equations of state of strong interaction matter at low temperatures and high densities will have an important impact on studies concerning the mass radius relationship of neutron stars and the merging process of binary neutron stars. </jats:p> Novel self-consistent mean field approximation and its application in strong interaction phase transitions * Chinese Physics C |
| spellingShingle | Wang, Fei, Cao, Yakun, Zong, Hongshi, Chinese Physics C, Novel self-consistent mean field approximation and its application in strong interaction phase transitions *, Astronomy and Astrophysics, Instrumentation, Nuclear and High Energy Physics |
| title | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_full | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_fullStr | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_full_unstemmed | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_short | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_sort | novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| title_unstemmed | Novel self-consistent mean field approximation and its application in strong interaction phase transitions * |
| topic | Astronomy and Astrophysics, Instrumentation, Nuclear and High Energy Physics |
| url | http://dx.doi.org/10.1088/1674-1137/43/8/084102 |