论文标题
分析薄壁虚假真空衰减率
Analytic thin wall false vacuum decay rate
论文作者
论文摘要
我们在薄壁限制中以一个环的一个环中的一个循环得出了封闭形式的假真空衰减速率，在薄壁极限，真空真空接近变质。我们在$ d $尺寸中获得弹跳配置，以及欧几里得动作，具有更高阶的校正，反处理和重新归一化组。我们通过gel'fand-Yaglom定理提取功能决定因素，以使其用于低和通用轨道多物。负多物的负特征值和零特征值出现，并去除转移零。我们计算了通用多物的波动，乘积和调节轨道模式。我们在$ d = 3，4 $中找到一个有限的重新归一化衰减率，并在任何维度中为有限功能决定因素提供了封闭形式的表达式。
We derive a closed-form false vacuum decay rate at one loop in the thin wall limit, where the true and false vacua are nearly degenerate. We obtain the bounce configuration in $D$ dimensions, together with the Euclidean action with a higher order correction, counter-terms and renormalization group running. We extract the functional determinant via the Gel'fand-Yaglom theorem for low and generic orbital multipoles. The negative and zero eigenvalues appear for low multipoles and the translational zeroes are removed. We compute the fluctuations for generic multipoles, multiply and regulate the orbital modes. We find an explicit finite renormalized decay rate in $D = 3, 4$ and give a closed-form expression for the finite functional determinant in any dimension.
