Abstract
We study the problem of the existence of the quarkyonic phase in quantum chromodynamics. This phase can exists under certain conditions in quantum chromodynamics along with the phase of free quarks and the confinement phase. As is known, the confinement phase is characterized by the presence of a linear potential between quarks, and the quarks are confined to one hadron (meson or baryon). A linear potential between quarks also exists in the quarkyonic phase; however, it is not so strong to confine quarks inside one hadron. The characteristics of the quarkyonic phase, as well as the confinement phase, can be calculated in quantum chromodynamics only in a nonperturbative framework. We interpret the previously obtained results of Wilson loop calculations in the holographic approach in terms of a phase transition to the quarkyonic phase.
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References
A. A. Slavnov, “Ward identities in gauge theories,” Theoret. and Math. Phys., 10, 99–104 (1972).
L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction To Quantum Theory (Frontiers in Physics, Vol. 50), Benjamin/Cummings Publ., Reading, MA (1980).
I. Ya. Arefeva and A. A. Slavnov, “Theory of gauge fields [in Russian],” in: XIV International School on High Energy Physics for Young Scientists (Dubna, USSR, 9–19 December, 1980, A. V. Kudinov, ed.), JINR (1981), pp. 36–100.
J. Maldacena, “The large-\(N\) limit of superconformal field theories and supergravity,” Internat. J. Theor. Phys., 38, 1113–1133 (1999); arXiv: hep-th/9711200.
I. Ya. Aref’eva, “Holographic approach to quark–gluon plasma in heavy ion collisions,” Phys. Usp., 57, 527–555 (2014).
I. Aref’eva, “Holography for nonperturbative study of QFT,” Phys. Part. Nucl., 51, 489–496 (2020).
I. Ya. Aref’eva, “Theoretical studies of the formation and properties of quark-gluon matter under conditions of high baryon densities attainable at the NICA experimental complex,” Phys. Part. Nucl., 52, 512–521 (2021).
I. Y. Arefeva, L. D. Faddeev and A. A. Slavnov, “Generating functional for the \(S\)-matrix in gauge-invariant theories,” Theoret. and Math. Phys., 21, 1165–1172 (1974).
I. Ya. Aref’eva and K. A. Rannu, “Holographic anisotropic background with confinement-deconfinement phase transition,” JHEP, 05, 206, 56 pp. (2018); arXiv: 1802.05652.
I. Aref’eva, K. Rannu, and P. Slepov, “Holographic anisotropic model for light quarks with confinement-deconfinement phase transition,” JHEP, 06, 90, 27 pp. (2021); arXiv: 2009.05562.
I. Ya. Aref’eva, K. A. Rannu, and P. S. Slepov, “Anisotropic solution of the holographic model of light quarks with an external magnetic field,” Theoret. and Math. Phys., 210, 363–367 (2022).
Acknowledgments
The author is grateful to Kristin Rann and Pavel Slepov for the fruitful collaboration.
Funding
This work was supported by the Russian Science Foundation under grant No. 20-12-00200, https://rscf.ru/ en/ project/ 20-12-00200/, and performed at the Steklov Mathematical Institute, Russian Academy of Sciences.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 473–479 https://doi.org/10.4213/tmf10542.
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Aref’eva, I.Y. On the quarkyonic phase in the holographic approach. Theor Math Phys 217, 1821–1826 (2023). https://doi.org/10.1134/S0040577923120024
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DOI: https://doi.org/10.1134/S0040577923120024