论文标题
$ ϕ^3_6 $量子场理论的Ward-Schwinger-Dyson方程
Ward-Schwinger-Dyson equations in $ϕ^3_6$ Quantum Field Theory
论文作者
论文摘要
我们在六个维度上开发了一个为传播器的方程组和$ ϕ^3 $量子场理论的三个点函数。受沃德（Ward）在施温格（Schwinger）方程式的改进灵感，该系统的主要特征应纯粹是根据重新规范化的数量来制定的，并提供满足重态化组方程的解决方案。由于传播器中的重叠差异，这些特性很难聚集在一起。重量级化组方程是该系统任何有效分辨率方案的组成部分，并且将在研究溶液的复兴特性中发挥作用。我们相信，该方法可以推广到量规场的情况，从而阐明了它们的量子特性。
We develop a system of equations for the propagators and three point functions of the $ϕ^3$ quantum field theory in six dimensions. Inspired from a refinement by Ward on the Schwinger--Dyson equations, the main characteristics of this system are to be formulated purely in terms of renormalized quantities and to give solutions satisfying renormalisation group equations. These properties were difficult to get together, due to the overlapping divergences in the propagator. The renormalisation group equations are an integral part of any efficient resolution scheme of this system and will be instrumental in the study of the resurgent properties of the solutions. It is our belief that this method can be generalized to the case of gauge fields, shedding some light on their quantum properties.
