标题： 普适有限引力与规范理论 显示英文标题

标题： Universally Finite Gravitational & Gauge Theories

摘要： 众所周知，标准规范理论在 D=4 时是可重整化的，而爱因斯坦引力在 D=2 时是可重整化的。 这就是目前双导数理论领域研究的现状。 我们在此介绍一类弱非局域高阶导数引力和规范理论，在任意时空维度下量子层次上普遍一致。 这些理论是幺正的（无鬼）且摄动可重整化的。 此外，我们总能找到这些理论的一个简单扩展，在偶数和奇数时空维度下量子层次上是超可重整化或者有限的。 最后，我们提出一个超可重整化或有限的引力与物质耦合理论，为构建“粒子物理的有限标准模型”和/或所有基本相互作用的大统一理论奠定了基础。 显示英文摘要

摘要： It is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge theories universally consistent at quantum level in any spacetime dimension. These theories are unitary (ghost-free) and perturbatively renormalizable. Moreover, we can always find a simple extension of these theories that is super-renormalizable or finite at quantum level in even and odd spacetime dimensions. Finally, we propose a super-renormalizable or finite theory for gravity coupled to matter laying the groundwork for a "finite standard model of particle physics" and/or a grand unified theory of all fundamental interactions.