论文标题

量子场理论中的两点功能和引导应用程序

Two-point Functions and Bootstrap Applications in Quantum Field Theories

论文作者

Karateev, Denis

论文摘要

我们研究了本地运算符的两点函数及其在紫外线完整量子场理论中的频谱表示,以关注保守电流和应力调整器的通用维度。我们与UV和IR固定点的中央费用建立了联系。我们在2D中重新介绍了C理论,并显示了它们在更高维度中的直接类似物。最后,我们将重点放在质量差距上的量子场理论上。我们研究应力张量的两粒子外形,从而导致单位性的含义,并在通用维度中定义混凝土引导问题。

We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the UV and IR fixed points. We re-derive c-theorems in 2d and show the absence of their direct analogs in higher dimensions. We conclude by focusing on quantum field theories with a mass gap. We study the stress tensor two-particle form factor, derive implications of unitarity and define concrete bootstrap problems in generic dimensions.

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