论文标题
1+1尺寸$φ^4 $理论中的假真空衰减
False vacuum decay in the 1+1 dimensional $φ^4$ theory
论文作者
论文摘要
假真空是可以在量子场理论中发生的亚稳态状态，其衰减首先是由科尔曼（Coleman）半传统研究的。在这项工作中，我们考虑1+1维$φ^4 $理论，这是最简单的模型，可以实现此问题。我们将衰变视为量子淬火，并使用截短的哈密顿方法研究随后的进化。在薄壁极限中，可以用退化极限的真空插值的质量来描述衰减速率，一旦对称性破裂场取消了堕落，又称潜在热量。我们证明，数值模拟与在潜热值范围内的几个耦合值的理论预测非常吻合，除了仅取决于相互作用强度的归一化因子。
The false vacuum is a metastable state that can occur in quantum field theory, and its decay was first studied semi-classically by Coleman. In this work we consider the 1+1 dimensional $φ^4$ theory, which is the simplest model that provides a realisation of this problem. We realise the decay as a quantum quench and study the subsequent evolution using a truncated Hamiltonian approach. In the thin wall limit, the decay rate can be described in terms of the mass of the kink interpolating between the vacua in the degenerate limit, and the energy density difference between the false and true vacuum once the degeneracy is lifted by a symmetry breaking field, a.k.a. the latent heat. We demonstrate that the numerical simulations agree well with the theoretical prediction for several values of the coupling in a range of the value of the latent heat, apart from a normalisation factor which only depends on the interaction strength.
