旋转下的非均匀SU(2)胶子物质
Inhomogeneous SU(2) gluon matter under rotation
AI总结：
本工作在稀薄极限下利用dyon系综研究了旋转SU(2)胶子系统，通过求解旋转修正的Yang-Mills方程获得dyon解的旋转修正及半经典势，进而确定了依赖于径向位置的退禁闭温度，并发现其径向依赖性与格点模拟定性一致。
摘要：
本工作在稀薄极限下利用dyon系综研究了旋转的SU(2)胶子系统。通过求解旋转修正的Yang-Mills方程，我们获得了任意中心dyon解至$\mathcal{O}(ω^2)$阶的旋转修正及相应的半经典势。通过在实角速度和虚角速度情况下最小化半经典势，得到了依赖于径向位置的退禁闭温度。尽管在缺少$ω$依赖耦合常数的情况下，随着旋转加快，每个径向位置的临界温度与格点模拟表现不同，但其径向依赖性与格点在定性上相同。即在实速度情况下外层更难退禁闭，而虚速度情况则相反。
英文摘要：
In this work a rotating SU(2) gluon system have been studied with the dyon ensemble in dilute limit. By solving the rotation-modified Yang-Mills equation we have obtained rotational corrections to the so-called dyon solutions with arbitrary centers to $\mathcal{O}(ω^2)$ order and the corresponding semi-classical potential. The radial position dependent deconfinement temperature have been obtained by minimizing the semi-classical potential in both real and imaginary angular velocity cases. Although without the $ω$-dependent coupling constant the critical temperature behaves different from the lattice simulation at each radial position as the rotation goes faster, its radial dependence is qualitatively the same as the lattice. That is in the real velocity case the outer layer will deconfine more difficult while the reverse is true in the imaginary velocity case.
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