arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1408.3003hep-phhep-lat
收藏

从格点规范理论输入的重夸克偶素势

Heavy-quarkonium potential with input from lattice gauge theory

Willian Matioli Serenone

摘要:

在这篇论文中,我们研究了包含一个从纯规范理论的格点模拟得到的非微扰传播子的势模型。首先,我们回顾了规范理论的一般方面,量子色动力学(QCD)的晶格表述的原则和重夸克偶素的一些性质,即重夸克和它的反夸克的束缚态。作为格点模型的蒙特卡罗模拟的一个例子,我们介绍了在谐振子和SU(2)规范理论中的应用。然后,我们研究了纯SU(2)理论的晶格模拟中使用胶子传播子作为描述夸克偶素的势模型的输入的效果,在底偶素和粲偶素的情况下。在这两种情况下,我们使用数值方法来评估质量的夸克偶素状态。将所得光谱与使用库仑加线性(或康奈尔)势的计算进行比较。

英文摘要:

In this dissertation we study potential models incorporating a nonperturbative propagator obtained from lattice simulations of a pure gauge theory. Initially we review general aspects of gauge theories, the principles of the lattice formulation of quantum chromodynamics (QCD) and some properties of heavy quarkonia, i.e. bound states of a heavy quark and its antiquark. As an illustration of Monte Carlo simulations of lattice models, we present applications in the case of the harmonic oscillator and SU(2) gauge theory. We then study the effect of using a gluon propagator from lattice simulations of pure SU(2) theory as an input in a potential model for the description of quarkonium, in the case of bottomonium and charmonium. We use, in both cases, a numerical approach to evaluate masses of quarkonium states. The resulting spectra are compared to calculations using the Coulomb plus linear (or Cornell) potential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑