Holographic hadron masses in the language of quantum mechanics
Holographic hadron masses in the language of quantum mechanics
复制标题
量子力学语言中的全息强子质量
DOI：
10.1088/1361-6404/ac1abb
复制
发表时间：
2021
影响因子：
0.7
通讯作者：
Mazza, P
中科院分区：
文献类型：
--
作者：
Domokos, S K;Bell, R;Mazza, P
弦理论的全息QCD对偶性通过建立在五维（5D）弯曲空间中的模型来预测强子物理。我们表明，在这些模型中找到强子质谱相当于找到与Schrödinger方程形式相同的一维微分方程的特征值。改变5D弯曲空间的结构相当于改变Schrödinger方程中的势，从而改变强子谱。我们用三个全息QCD模型来说明这个概念，它们在基本量子力学中具有精确的类似物：自由粒子、无限平方阱和谐振子。除了使量子力学专业的本科生能够了解全息量子光盘的各个方面之外，这个公式还可以为学生提供对弯曲空间意义的直觉。本文主要面向有兴趣让本科生参与其研究的高能理论物理学家，但对于具有广义相对论和经典场论基础知识的高级本科生和刚开始的研究生来说，也是全息量子光盘的合适介绍。
String theory's holographic QCD duality makes predictions for hadron physics by building models that live in five-dimensional (5D) curved space. We show that finding the hadron mass spectrum in these models amounts to finding the eigenvalues of a one-dimensional differential equation identical in form to the Schrödinger equation. Changing the structure of the 5D curved space is equivalent to altering the potential in the Schrödinger equation, which in turn alters the hadron spectrum. We illustrate this concept with three holographic QCD models possessing exact analogs in basic quantum mechanics: the free particle, the infinite square well, and the harmonic oscillator. In addition to making aspects of holographic QCD accessible to undergraduate quantum mechanics students, this formulation can provide students with intuition for the meaning of curved space. This paper is intended primarily for high-energy theoretical physicists interested in involving undergraduates in their research, but is also a suitable introduction to holographic QCD for advanced undergraduates and beginning graduate students with basic knowledge of general relativity and classical field theory.