论文标题
非扰动政权中虚假真空的命运
Fate of False Vacuum in Non-perturbative Regimes
论文作者
论文摘要
我们在标量场理论中使用一些确切的结果来修改科尔曼和卡兰关于错误真空衰减的分析，并提出一种简单的非扰动形式主义。我们介绍了确切的绿色功能，该功能将非扰动校正结合在理论的强耦合方案中。标量场理论的解涉及雅各比椭圆函数，并已用于计算任何任意耦合值的有效潜力。我们在简单的$ λϕ^4 $理论中证明了这种形式主义的使用，并表明有效潜力在起源时表现出虚假的最低限度。然后，我们计算错误的真空衰减速率，并提出简单的分析公式，这对于超越扰动状态的一阶相变的分析可能很有用。在我们的方法中，我们表明，通过将耦合值非常小，可以重现扰动理论中获得的标准结果。
We use some exact results in the scalar field theory to revise the analysis by Coleman and Callan about the false vacuum decay and propose a simple non-perturbative formalism. We introduce exact Green's function which incorporates non-perturbative corrections in the strong coupling regimes of the theory. The solution of the scalar field theory involves Jacobi elliptical function and has been used to calculate the effective potential for any arbitrary coupling values. We demonstrate the use of this formalism in a simple $λϕ^4$ theory and show that the effective potential exhibits a false minimum at the origin. We then calculate the false vacuum decay rate and suggest simple analytic formulas which may be useful for the analysis for the first order phase transition beyond the perturbative regime. In our methodology, we show that the standard results obtained in perturbation theory are reproduced by taking the coupling values very small.
