Yang-Mills wave functional in Coulomb gauge
Yang-Mills wave functional in Coulomb gauge
复制标题
库仑计中的杨米尔斯波函数
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
C. Feuchter
中科院分区：
文献类型：
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作者：
H. Reinhardt;C. Feuchter
我们研究了库仑规范中的杨-米尔斯波泛函对法捷夫-波波夫行列式的依赖性。我们使用高斯波函数乘以 Faddeev-Popov 行列式的任意幂。我们表明，在单环图的恢复中，稳态真空能量与法捷夫-波波夫行列式的功率无关，此外，波泛函在红外中变得与场无关，描述了随机真空。我们的研究表明，红外极限对于杨-米尔斯波泛函的变分分析的细节相当稳健。红外极限完全由格里波夫视界处法捷夫-波波夫行列式的散度决定。
We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the resummation of one-loop diagrams the stationary vacuum energy is independent of the power of the Faddeev-Popov determinant and, furthermore, the wave functional becomes field-independent in the infrared, describing a stochastic vacuum. Our investigations show, that the infrared limit is rather robust against details of the variational ans"atze for the Yang-Mills wave functional. The infrared limit is exclusively determined by the divergence of the Faddeev-Popov determinant at the Gribov horizon.