论文标题
$ \ text {t} \ bar {\ text {t}} $ - 变形(非 - )综合理论
Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
论文作者
论文摘要
$ \ text {t} \ bar {\ text {t}} $的确切量子s-matrix已知对其扰动的肾脏重构化具有有趣的后果。最近对肾上腺素化和可整合变形之间相互作用的研究集中在那些(未经证实的)种子理论是可以整合的情况下。在本文中,我们研究了非集成性$ \ text {t} \ bar {\ text {t}} $ - 变形的字段理论的扰动重量级化,着重于具有四重奏相互作用的标量理论。我们表明,在这一理论中,4分1循环S-Matrix的特征与其可集成的表亲相似。我们还针对包含一对手性玻色子的可集成量子场理论的情况进行了类似的分析。我们对这一后一种理论的讨论提供了一个扰动性现场理论计算的第一个明确示例。
That the exact quantum S-matrix of $\text{T}\bar{\text{T}}$-deformed field theories is known has interesting consequences for their perturbative renormalisation. Recent investigations into the interplay between renormalisation and integrable deformations have focused on those cases where the (undeformed) seed theories are integrable. In this paper, we study the perturbative renormalisation of non-integrable $\text{T}\bar{\text{T}}$-deformed field theories, focusing on a theory of scalars with a quartic interaction. We show that in this theory, the 4-point 1-loop S-matrix exhibits features similar to its integrable cousins. We also carry out a similar analysis for the case of an integrable quantum field theory comprising a pair of chiral bosons. Our discussion of this latter theory supplies the first explicit example of a perturbative field theory computation in the formalism due to Sen.