论文标题
在强磁场中电动均匀真空的不稳定性
Instability of electroweak homogeneous vacua in strong magnetic fields
论文作者
论文摘要
我们考虑了电动部队的Weinberg-Salam（WS）模型的经典真空。这些是WS方程的无颗粒，静态解决方案，最大程度地限制了WS局部的能量。 We study the WS vacuum solutions exhibiting a non-vanishing average magnetic field of strength $b$, and prove that (i) there is a magnetic field threshold $b_*$ such that for $b < b_*$, the vacua are translationally invariant (and the magnetic field is constant), while for $b > b_*$ they are not, (ii) for $b > b_*$, there are non-translationally不变的解决方案，单位体积能量较低，并且计划中2D晶格的离散翻译对称性横向至$ b $，并且（iii）晶格最小化每单位量的能量接近六角形，因为磁场强度接近阈值$ b_*$。 在没有颗粒的情况下，Weinberg-Salam模型将量规组$ U（2）$的Yang-Mills-higgs（YMH）方程式减少。因此，我们的结果可以作为有关$ u（2）$ - ymh方程的相应语句的改头。
We consider the classical vacua of the Weinberg-Salam (WS) model of electroweak forces. These are no-particle, static solutions to the WS equations minimizing the WS energy locally. We study the WS vacuum solutions exhibiting a non-vanishing average magnetic field of strength $b$, and prove that (i) there is a magnetic field threshold $b_*$ such that for $b < b_*$, the vacua are translationally invariant (and the magnetic field is constant), while for $b > b_*$ they are not, (ii) for $b > b_*$, there are non-translationally invariant solutions with lower energy per unit volume and with the discrete translational symmetry of a 2D lattice in the plan transversal to $b$, and (iii) the lattice minimizing the energy per unit volume approaches the hexagonal one as the magnetic field strength approaches the threshold $b_*$. In the absence of particles, the Weinberg-Salam model reduces to the Yang-Mills-Higgs (YMH) equations for the gauge group $U(2)$. Thus our results can be rephrased as the corresponding statements about the $U(2)$-YMH equations.
