论文标题
获得具有梯度流的Sphaleron场配置
Obtaining the sphaleron field configurations with gradient flow
论文作者
论文摘要
我们提出了一种形式主义，以使用梯度流量方法获得Electroweak Sphaleron，这是静态经典溶液之一。通过将修改项添加到梯度流程方程中，我们可以在较大的流动时间中获得SPHALERON配置作为流量的稳定固定点。将方法应用于$ SU（2）$ -HIGGS型号（Weinberg Angle $θ_W$为$ 0 $），以四个维度为单位，我们获得了SPHALERON配置，其能量与以前的数字研究相吻合。我们还可以证明该解决方案的Chern-Simons数量有半数。
We propose a formalism to obtain the electroweak sphaleron, which is one of the static classical solutions, using the gradient flow method. By adding a modification term to the gradient flow equation, we can obtain the sphaleron configuration as a stable fixed point of the flow in the large flow time. Applying the method to the $SU(2)$-Higgs model (the Weinberg angle $θ_W$ is $0$) in four dimensions, we obtain the sphaleron configuration whose energy coincides with previous studies numerically. We can also show that the Chern-Simons number of the solution has a half-integer.
