标题： 顶夸克束缚态在有限和全纯量子场论中 显示英文标题

标题： Top Quark Bound States in Finite and Holomorphic Quantum Field Theories

摘要： 我们提出对在大型强子对撞机（LHC）上最近观察到的顶夸克-反顶夸克产生阈值增强现象，即顶onium的统一理论研究。 首先，我们将有限的非定域量子场论扩展，推导出包含指数调节函数的重夸克-反夸克束缚态的修正Bethe-Salpeter方程，这些函数使所有环状振幅在紫外区域有限。 我们表明，非定域传播子会在共振质量与宽度上引起特征性偏移，这些可以与LHC数据直接对比。 其次，我们分析了接近顶夸克对阈值处强耦合的重整化群流，引入了一种受统一场论构造启发的全纯变形。 我们发现修正的$\beta$-函数在\(\alpha_s\)附近软化了\(2m_t\)的运行，从而对阈值截面产生了微妙的增强。 第三，我们系统地比较了charmonium、bottomonium和toponium，量化了结合能、寿命和产生特征方面的差异。 特别是，顶夸克的较大宽度阻止了长寿命束缚态的形成，因此toponium仅作为瞬时阈值共振出现。 综上所述，我们的结果表明，toponium不仅探测了QCD的非定域紫外完成，还提供了一个新的窗口来观察全纯重整化群动力学以及重夸克onium的更广泛现象学。 显示英文摘要

摘要： We propose a unified theoretical study of the recently observed threshold enhancement in top-antitop production at the LHC known as toponium. First, we extend the finite, nonlocal quantum field theories to derive a modified Bethe-Salpeter equation for heavy quark-antiquark bound states, incorporating exp wential regulator functions that render all loop amplitudes ultraviolet finite. We show that nonlocal propagators induce characteristic shifts in the resonance mass and width, which can be contrasted directly with LHC data. Second, we analyse the renormalization group flow of the strong coupling near the top-pair threshold, introducing a holomorphic deformation inspired by unified field-theoretic constructions. We find that the modified $\beta$-function softens the running of \(\alpha_s\) around \(2m_t\), giving a subtle enhancement of the threshold cross-section. Third, we present a systematic comparison of charmonium, bottomonium, and toponium, quantifying differences in binding energies, lifetimes, and production signatures. In particular, the top quark's large width precludes long-lived bound states, so that toponium appears only as a transient threshold resonance. Taken together, our results demonstrate that toponium not only probes nonlocal UV completions of QCD but also offers a novel window onto holomorphic renormalization group dynamics and the broader phenomenology of heavy quarkonium.