标题： 任意四次张量模型的普适性和Borel可求和性 显示英文标题

标题： Universality and Borel Summability of Arbitrary Quartic Tensor Models

摘要： 我们将\emph{melonoid}四次张量模型的研究扩展到具有任意四次相互作用的模型。 这种扩展需要一种新的环顶点展开方法，使用多种中间场以及迭代的柯西-施瓦茨不等式。 证明了双曲正切可求和性，并且该性质在张量大小$N$变大时一致成立。 每个累积量都可以表示为显式计算项的和加上一个余项，该余项在$1/N$中被抑制。 结合第二累积量存在大$N$极限的事实，这证明了相应的概率测度序列是一致有界的，并服从张量普适性定理。 显示英文摘要

摘要： We extend the study of \emph{melonic} quartic tensor models to models with arbitrary quartic interactions. This extension requires a new version of the loop vertex expansion using several species of intermediate fields and iterated Cauchy-Schwarz inequalities. Borel summability is proven, uniformly as the tensor size $N$ becomes large. Every cumulant is written as a sum of explicitly calculated terms plus a remainder, suppressed in $1/N$. Together with the existence of the large $N$ limit of the second cumulant, this proves that the corresponding sequence of probability measures is uniformly bounded and obeys the tensorial universality theorem.