意大利帕多瓦大学Davide Polvara团队近日研究了带移动质量的单环可积性。相关论文于2025年7月15日发表在《高能物理杂志》上。

研究组分析了具有类多项式相互作用的二维大质量量子场论的微扰可积性，并证明了该类理论中任何在树水平上是纯弹性的理论在单环上也是纯弹性的。为了保持弹性，该理论的物理重归一化质量必须通过单环气泡图携带的量子修正而与经典质量不同。

用这种方法对质量进行校正后，研究组证明了在单环效应下，单环非弹性过程消失，可积性保持不变。基于这一事实，研究组证明了用[1]中得到的树s矩阵表示的单环s矩阵的封闭表达式可以扩展到不保留单环质量比的模型。研究组在全类非简单仿射Toda理论上测试了该结果，并找到了与过去引导的s矩阵完全匹配的结果。

附：英文原文

Title: One-loop integrability with shifting masses

Author: Fabri, Matheus, Polvara, Davide

Issue&Volume: 2025-07-15

Abstract: We investigate the perturbative integrability of two-dimensional massive quantum field theories with polynomial-like interactions and show that any theory of such class which is purely elastic at the tree level is also purely elastic at one loop. To preserve the elasticity, the physical renormalized masses of the theory must differ from the classical ones by quantum corrections carried by one-loop bubble diagrams. After the masses are corrected in this manner we show that one-loop inelastic processes vanish and integrability is preserved under one-loop effects. Relying on this fact we show that the closed expression for one-loop S-matrices in terms of tree S-matrices obtained in [1] extends to models that do not preserve the mass ratios at one loop. We test our results on the full class of nonsimply-laced affine Toda theories and find exact match with the S-matrices bootstrapped in the past.

DOI: 10.1007/JHEP07(2025)165

Source: https://link.springer.com/article/10.1007/JHEP07(2025)165

来源：科学网  小柯机器人