Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
复制标题
库仑计中杨-米尔斯薛定谔方程的变分解
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
H. Reinhardt
中科院分区：
文献类型：
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作者：
C. Feuchter;H. Reinhardt
利用变分原理在真空库仑规范中求解了Yang-Mills薛定谔方程，并对在Gribov视界处有强峰值的波泛函进行了Ansatz求解。导出了Yang-Mills真空中胶子和鬼子传播子以及规范轨道空间曲率的Schwinger-Dyson耦合方程组，并在单环近似下求解。我们发现了一个红外抑制胶子传播子，一个红外奇异幽灵传播子，以及一个几乎线性上升的约束势。
The Yang-Mills Schroedinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an Ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations for the gluon and ghost propagators in the Yang-Mills vacuum as well as for the curvature of gauge orbit space is derived and solved in one-loop approximation. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator, and an almost linearly rising confinement potential.