In this work a non-abelian gauge theory is reformulated in a rotating frame. With this new formalism, the influence of the background rotation on the color deconfinement transition for a pure SU(2) gluon system has been studied. The KvBLL caloron, which is a color neutral and topologically nontrivial solution of Yang-Mills equation at finite temperature, is reexamined under rotation and adopted as the confined vacuum of such a system. With rotation-modified solutions of the caloron's constituent solitons, i.e. dyons, the non-perturbative part of effective potential of the rotating system has been obtained. Combining with the perturbative potential by Gaussian fluctuations, the critical temperature of confinement-deconfinement phase transition is investigated. 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 increase with angular velocity, as what indicated in lattice simulations. And it is found a non-monotonic dependence of the critical temperature on the angular velocity is established because of the competition between these two contrary contributions.

中文翻译：

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旋转 SU(2) 胶子物质和有限温度下的解除限制


在这项工作中，非阿贝尔规范理论在旋转框架中被重新表述。通过这种新的形式，研究了背景旋转对纯 SU(2) 胶子系统颜色解限制转变的影响。 KvBLL caloron 是有限温度下 Yang-Mills 方程的色中性且拓扑非平凡解，在旋转下进行了重新检查，并采用该系统的受限真空。通过卡洛子组成孤子（即达子）的旋转修正解，获得了旋转系统有效势的非微扰部分。结合高斯涨落的微扰势，研究了约束-解约束相变的临界温度。研究发现，当旋转速度加快时，旋转半经典势和高斯涨落都不能更紧密地限制色荷。而正如晶格模拟所示，只有更强的耦合常数才能使临界温度随角速度增加。我们发现，由于这两种相反的贡献之间的竞争，临界温度对角速度的非单调依赖关系成立。