Speaker
Description
We construct the matrix models under real rotation $\Omega$ in a cylinder of radius $\mathcal{R}$, with $\mathcal{R} \Omega<1$ to preserve causality, by using the background field effective theory.
Based on this improved matrix model, we investigate the confinement/deconfinement phase transition in $SU(3)$ and $SU(2)$ gauge theories. Different from the case of imaginary rotation, considering only the perturbative effects of the gluonic system is insufficient to drive it into the confined phase. Nevertheless, Rotation introduces radial inhomogeneity, and the behavior of the phase transition temperature $T_c$ and Polyakov loop $\ell$ are model-dependent. With the gluonic effective mass $M$ is a constant, $T_c$ decreases with radial distance $\tilde{\rho}$ and $\Omega$, and the local $T_c$ along rotation axis of $SU(3)$ in particular does not depend on $\Omega$ within a few percent accuracy. $\ell$ increases with $\tilde{\rho}$, while the dependence of it on $\Omega$ exhibits a strong temperature dependence. The introduction of $M(w)$ does not qualitatively affect the radial dependence of $T_c$ and $\ell$. However, it does qualitatively modify their behavior at small $\Omega$. Notably, $T_c$ exhibits a nonmonotonic dependence on $\Omega$, which we attribute to the competition between rotation-induced centrifugal effects and the non-perturbative contributions associated with $M(\Omega)$. Surprisingly, the radial dependence of the fitted $T_c(\tilde{\rho})$ is identical to that with $M$ is a constant.
| 请选择分会 | 高能重离子物理 |
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