Study of the Confinement/Deconfinement Phase Transition in Rotating Lattice SU(3) Gluodynamics
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PARTICLES, AND NUCLEI
Study of the Confinement/Deconfinement Phase Transition in Rotating Lattice SU(3) Gluodynamics V. V. Bragutaa, b, *, A. Yu. Kotova, b, c, **, D. D. Kuznedelevd, ***, and A. A. Roenkob, **** a
National University of Science and Technology MISiS, Moscow, 119049 Russia Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980 Russia c Alikhanov Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, 117259 Russia d Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141700 Russia *e-mail: [email protected] **e-mail: [email protected] ***e-mail: [email protected] ****e-mail: [email protected] b Bogoliubov
Received April 19, 2020; revised May 21, 2020; accepted May 21, 2020
The effect of rotation on the confinement/deconfinement phase transition in SU(3) gluodynamics has been studied in lattice simulation in the rotating reference frame, where rotation is specified by an external gravitational field. To analyze the confinement/deconfinement phase transition, the Polyakov loop and its susceptibility have been calculated for various temperatures and angular velocities. The results obtained have indicated that the critical temperature of the confinement/deconfinement phase transition in SU(3) gluodynamics increases with the angular velocity. DOI: 10.1134/S0021364020130044
considered in numerous theoretical works (see, e.g., [14–18]). The rotation of quark–gluon matter can be treated as a kind of extreme external conditions along with high temperature, magnetic field, baryon density, chiral density, etc. The study of the effect of various extreme conditions in QCD is important for interpretation of modern experiments and is of theoretical interest. Indeed, each of the external conditions listed above affects certain mechanisms in QCD and, thereby, allows insight into the structure of this complex theory. The properties of QCD under extreme external conditions were studied in numerous works (see, e.g., [19–28]). It is noteworthy that most of the external conditions directly affect the quark degrees of freedom and affect the gluon component of QCD only through quark loops. An exception is the temperature, which affects all degrees of freedom in QCD. The rotation of the system also affects all degrees of freedom in QCD, but its effect is not similar to the temperature effect. Consequently, it can be expected that the study of QCD with rotation will provide deeper insight into the theory of strong interaction. The aim of this work is to study the effect of rotation on the confinement/deconfinement phase transi-
INTRODUCTION The study of the effect of fast rotation on the properties of various physical systems is very actual and interesting. Such systems are widespread in astrophysics [1, 2]. Relativistic fermions with a nonzero angular momentum can occur in theories of condensed matter [3, 4]. Rapidly rotating quark–gluon matter can be obtained in heavy ion co
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