Dual symmetries of dense three and two-color QCD and some QCD-like NJL models
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| Format: | Preprint |
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2024
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| _version_ | 1866917879189864448 |
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| author | Khunjua, T. G. Klimenko, K. G. Zhokhov, R. N. |
| author_facet | Khunjua, T. G. Klimenko, K. G. Zhokhov, R. N. |
| contents | In this paper the symmetry properties of the phase diagram of dense quark matter composed of $u$ and $d$ quarks with two or three colors has been investigated in the framework of massless (3+1)-dimensional Nambu--Jona-Lasinio (NJL) and QCD models. It turns out that in the presence of baryon $μ_B$, isospin $μ_I$, chiral $μ_5$ and chiral isospin $μ_{I5}$ chemical potentials the Lagrangians of these models are invariant under the so-called dual transformations. Consequently, the entire NJL model (or QCD) thermodynamic potentials are dually symmetric. In particular, it means that in the total $(μ_B,μ_I,μ_5,μ_{I5})$-phase portraits of these models the chiral symmetry breaking (CSB) and charged pion condensation (PC) phases are arranged dually conjugated (or symmetrical) to each other (in the case of three-color models). Whereas in the case of two-color quark matter, these models predict the entire phase structure in which there are dual symmetries between CSB, charged PC and baryon superfluid phases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_00444 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dual symmetries of dense three and two-color QCD and some QCD-like NJL models Khunjua, T. G. Klimenko, K. G. Zhokhov, R. N. High Energy Physics - Phenomenology High Energy Physics - Theory In this paper the symmetry properties of the phase diagram of dense quark matter composed of $u$ and $d$ quarks with two or three colors has been investigated in the framework of massless (3+1)-dimensional Nambu--Jona-Lasinio (NJL) and QCD models. It turns out that in the presence of baryon $μ_B$, isospin $μ_I$, chiral $μ_5$ and chiral isospin $μ_{I5}$ chemical potentials the Lagrangians of these models are invariant under the so-called dual transformations. Consequently, the entire NJL model (or QCD) thermodynamic potentials are dually symmetric. In particular, it means that in the total $(μ_B,μ_I,μ_5,μ_{I5})$-phase portraits of these models the chiral symmetry breaking (CSB) and charged pion condensation (PC) phases are arranged dually conjugated (or symmetrical) to each other (in the case of three-color models). Whereas in the case of two-color quark matter, these models predict the entire phase structure in which there are dual symmetries between CSB, charged PC and baryon superfluid phases. |
| title | Dual symmetries of dense three and two-color QCD and some QCD-like NJL models |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.00444 |