论文标题
使用贝塞尔功能的零维$ ϕ^4 $场理论的封闭式解决方案：一种非扰动方法
Closed-Form Solutions of Zero Dimensional $ϕ^4$-Field Theory Using Bessel Functions: A Non-Perturbative Approach
论文作者
论文摘要
积分$ \ int _ { - \ infty}^{\ infty} e^{ - x^2-g x^4} dx $在量子场理论和路径积分的研究中用作介绍性学习工具。通常，它是通过扰动理论分析的。已经引用了近距离解决方案，但尚不清楚它们是如何得出的。因此，我着手自行得出近距离解决方案，并使用相同的方法为均匀的整数矩获得封闭形式的表达式。
The integral $\int_{-\infty}^{\infty} e^{- x^2 - g x^4} dx $ is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically it is analysed via perturbation theory. Close form solutions have been quoted but it is not clear how they were derived. So I set about deriving the close form solution on my own and using the same methodology obtain closed form expressions for the even positive integer moments.
