In this work the non-abelian gauge theory is reformulated in a local inertial frame with the presence of a background rotation. With this new formalism the influence of the background rotation on the color deconfinement transition for a SU(2) pure gluon system. The KvBLL caloron, which is a color neutral and asymptotically nontrivial solution of Yang-Mills equation at finite temperature, is adopted to confine the color charges. With new solutions of the caloron's constituent particles, i.e. dyons, the semi-classical potential, which confines color charges, and the perturbative potential, induced by the Gaussian fluctuation, have been obtained for this system under rotation. By solving the critical temperature of confinement-deconfinement phase transition in different computation schemes, it is found that neither the rotational semi-classical potential nor Gaussian fluctuations can confine color charges more tightly when the rotation becomes faster. While only a stronger coupling constant is able to make the critical temperature increasing with angular velocity, as that indicated in lattice simulations. And it is also found with some particular sets of parameters, a non-monotonic dependence of the critical temperature will be obtained in the most physically realistic case, in which all the three factors are taken into account.
Intersection of black hole theory and quantum chromodynamics: the gluon propagator corresponding to linear confinement at large distances and relativistic bound states in the confining SU(N)-Yang-Mills fields
In our previous publication [1-3] it has been proven that the general iteration solution of the Shwinger-Dyson equation for the full gluon propagator (i.e., when the skeleton loop integrals, contributing into the gluon self-energy, have to be iterated, which means that no any truncations/approximations have been made) can be algebraically (i.e., exactly) decomposed as the sum of the two principally different terms. The first term is the Laurent expansion in integer powers of severe (i.e., more singular than $1/q^2$) infrared singularities accompanied by the corresponding powers of the mass gap…
We study a phenomenological model that mimics the characteristics of QCD theory at finite temperature. The model involves fermions coupled with a modified Abelian gauge field in a tachyon matter. It reproduces some important QCD features such as, confinement, deconfinement, chiral symmetry and quark-gluon-plasma (QGP) phase transitions. The study may shed light on both light and heavy quark potentials and their string tensions. Flux-tube and Cornell potentials are developed depending on the regime under consideration. Other confining properties such as scalar glueball mass, gluon mass, gluebal…
Non-central heavy ion collisions lead to the production of a quark gluon plasma with angular momentum. We investigate, using holographic AdS/QCD models, how does rotation of the medium affects the confinement/deconfinement transition temperature $T_c$. In holographic models, this transition is represented by a Hawking-Page process involving two asymptotically anti-de Sitter spaces. The plasma is represented here by extending the holographic approach to anti-de Sitter spaces with cylindrical symmetry. Then, the rotation of the medium is introduced through a Lorentz boost. We consider hard and s…
QCD Confinement and Theta Vacuum: Dynamical Spontaneous Symmetry Breaking
本文提出，作为SU（3）_C规范理论的量子色动力学（QCD）的长期问题，禁闭机制和Θ真空，可以通过单重态胶子凝聚的动力学自发对称性破缺（DSSB）和作为SU（2）_N x U（1）_Z规范理论的量子核动力学（QND）来解决。禁闭机制是大质量胶子的结果，汤川势提供了强子的形成。DSSB过程中离散对称性（C，P，T，CP）破缺的明显证据是：没有宇称伙伴的重子和介子，矢量流守恒和轴矢量流部分守恒，重子不对称性δ B \simeq 10^{-10}，中子电偶极矩Θ< 10^{-9}。强子质量产生机制是由Θ真空引起的DSSB。
On the angular momentum and free energy of rotating gluon plasma
Joint Institute for Nuclear Research（杜布纳联合核研究所）；West University of Timisoara（蒂米什瓦拉西大学）；Moscow Institute of Physics and Technology（莫斯科物理技术学院）；NRC “Kurchatov Institute”（库尔恰托夫研究所国家研究中心）
In this paper we derive the high energy evolution equation in the Gribov-Zwanziger approach, for the confinement of quarks and gluons. We demonstrate that the new equation generates an exponential decrease of the scattering amplitude at large impact parameter, and resolves the main difficulties of CGC (Colour Glass Condensate) high energy effective theory. Such behaviour occurs if the gluon propagator in Gribov-Zwanziger approach, does not vanish at small momenta. Solving the non-linear equation for deep inelastic scattering, we show that the suggested equation leads to a Froissart disc with r…
In this paper we solved the new evolution equation for high energy scattering amplitudethat stems from the Gribov-Zwanziger approach to the confinement of quarks and gluons. We found that (1) the energy dependence of the scattering amplitude turns out to be the same as for QCD BFKL evolution; (2) the spectrum of the new equation does not depend on the details of the Gribov-Zwanzinger approach and (3) all eigenfunctions coincide with the eigenfunctions of the QCD BFKL equation at large transverse momenta $κ\,\geq\,1$. The numerical calculations show that there exist no new eigenvalues with the …
