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arXiv 2201.12267hep-thhep-ph
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非微扰区域中的假真空命运

Fate of False Vacuum in Non-perturbative Regimes

Marco Frasca, Anish Ghoshal, Nobuchika Okada

AI总结:

本文基于标量场论精确解和 Green 函数构建非微扰形式体系,计算 $λϕ^4$ 理论的有效势与假真空衰变率,并在弱耦合极限下恢复标准微扰结果。

摘要:

我们利用标量场论中的若干精确结果,修正了 Coleman 和 Callan 关于假真空衰变的分析,并提出了一种简单的非微扰形式体系。我们引入了精确 Green 函数,该函数在理论的强耦合区域纳入了非微扰修正。标量场论的解涉及 Jacobi 椭圆函数,并已被用于计算任意耦合值下的有效势。我们在一个简单的 $λϕ^4$ 理论中演示了该形式体系的使用,并表明有效势在原点处呈现一个假极小值。随后,我们计算了假真空衰变率,并给出了简单的解析公式;这些公式可能有助于分析微扰区域之外的一级相变。在我们的方法论中,我们表明,当耦合值取得非常小时,可以重现微扰论中得到的标准结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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