Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method
The NJL model of one-flavor quark is employed to study the properties of QCD mater with finite temperature, external magnetic field, and chiral chemical potential. Through the mean-field approximation and a self-consistent method, a non-perturbative quark propagator is proposed to deduce the gap equ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/3/502 |
| _version_ | 1797441564614590464 |
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| author | Juan Liu Song Shi |
| author_facet | Juan Liu Song Shi |
| author_sort | Juan Liu |
| collection | DOAJ |
| description | The NJL model of one-flavor quark is employed to study the properties of QCD mater with finite temperature, external magnetic field, and chiral chemical potential. Through the mean-field approximation and a self-consistent method, a non-perturbative quark propagator is proposed to deduce the gap equations, and it can be proved that besides the classic vacuum condensate, there are non-zero statistical averages of a quark current and quark magnetic moment. Through a rigorous algebraic method, the quark current leads to a modified chiral magnetic effect. Through a numerical method, the quark magnetic moment is non-zero in the chiral breaking phase, and its relation with chiral chemical potential is studied. |
| first_indexed | 2024-03-09T12:25:58Z |
| format | Article |
| id | doaj.art-9a16fc128e504d8188d0fd619d726f62 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T12:25:58Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-9a16fc128e504d8188d0fd619d726f622023-11-30T22:35:31ZengMDPI AGSymmetry2073-89942022-03-0114350210.3390/sym14030502Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent MethodJuan Liu0Song Shi1Department of Physics, National University of Defense Technology, Changsha 410000, ChinaDepartment of Physics, National University of Defense Technology, Changsha 410000, ChinaThe NJL model of one-flavor quark is employed to study the properties of QCD mater with finite temperature, external magnetic field, and chiral chemical potential. Through the mean-field approximation and a self-consistent method, a non-perturbative quark propagator is proposed to deduce the gap equations, and it can be proved that besides the classic vacuum condensate, there are non-zero statistical averages of a quark current and quark magnetic moment. Through a rigorous algebraic method, the quark current leads to a modified chiral magnetic effect. Through a numerical method, the quark magnetic moment is non-zero in the chiral breaking phase, and its relation with chiral chemical potential is studied.https://www.mdpi.com/2073-8994/14/3/502NJL modelmagnetic fieldchiral chemical potentialchiral magnetic effect |
| spellingShingle | Juan Liu Song Shi Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method Symmetry NJL model magnetic field chiral chemical potential chiral magnetic effect |
| title | Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method |
| title_full | Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method |
| title_fullStr | Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method |
| title_full_unstemmed | Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method |
| title_short | Chiral Chemical Potential and Magnetic Effects on QCD Matter in NJL Model with a Self-Consistent Method |
| title_sort | chiral chemical potential and magnetic effects on qcd matter in njl model with a self consistent method |
| topic | NJL model magnetic field chiral chemical potential chiral magnetic effect |
| url | https://www.mdpi.com/2073-8994/14/3/502 |
| work_keys_str_mv | AT juanliu chiralchemicalpotentialandmagneticeffectsonqcdmatterinnjlmodelwithaselfconsistentmethod AT songshi chiralchemicalpotentialandmagneticeffectsonqcdmatterinnjlmodelwithaselfconsistentmethod |