论文标题
离散的热内核，紫外线修饰的绿色功能和较高的衍生理论
Discrete heat kernel, UV modified Green's function, and higher derivative theories
论文作者
论文摘要
我们使用离散的热核法在自由标量场理论中对绿色功能的紫外线变形。发现基于离散扩散方程的最简单的紫外线变形导致众所周知的Pauli-Villars有效的Lagrangian。此外，通过扩展离散方程式的假设，我们发现一般的较高衍生理论是从当前的UV变形得出的。在某些特定情况下，我们还计算了在非平凡背景空间中平方平方的真空预期值，并检查它们对紫外线截止常数的依赖性。
We perform the UV deformation of the Green's function in free scalar field theory using a discrete heat kernel method. It is found that the simplest UV deformation based on the discretized diffusion equation leads to the well-known Pauli-Villars effective Lagrangian. Furthermore, by extending assumptions on the discretized equation, we find that the general higher derivative theory is derived from the present UV deformation. In some specific cases, we also calculate the vacuum expectation values of the scalar field squared in nontrivial background spaces and examine their dependence on the UV cutoff constant.
