论文标题

通过多场反弹的虚假真空衰减速率的精确计算

Precise Calculation of the Decay Rate of False Vacuum with Multi-Field Bounce

论文作者

Chigusa, So, Moroi, Takeo, Shoji, Yutaro

论文摘要

我们研究一环理论中错误真空的衰减率。我们特别注意弹跳由任意数量的标量字段组成的情况。使用多场反弹,该反弹在田间空间中具有弯曲的轨迹,仪表场中的混合和标量场沿田间空间中的弹跳路径演变,真空衰减速率的一环计算变得复杂。我们考虑使用量规参数的任意选择对衰减率的一环贡献,并获得真空衰减速率的规格不变表达。我们还提供了适当的量规零模式和重新归一化的处理。

We study the decay rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum decay rate becomes complicated. We consider the one-loop contribution to the decay rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum decay rate. We also give proper treatments of gauge zero modes and renormalization.

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