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arXiv 2106.13136hep-thhep-ph
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全息强子教学导论

A Pedagogical Introduction to Holographic Hadrons

Sophia K Domokos, Robert Bell, Trinh La, Patrick Mazza

摘要:

弦论的全息QCD对偶性通过建立生活在五维(5D)弯曲空间中的模型来预测强子物理。在这篇教学笔记中,我们解释了如何在这些模型中找到强子质谱,相当于找到一个与时间无关的一维薛定谔方程的本征值。改变5D弯曲空间的结构相当于改变薛定谔方程中的势,这反过来又改变了强子谱。我们用三个与基本量子力学完全相似的全息QCD模型来说明这个概念:自由粒子,无限方阱和谐振子。除了使全息QCD的各个方面对大学生来说是容易的之外,这个公式还可以为学生提供弯曲空间的意义的直觉。本文主要是作为一个工具,研究人员有兴趣参与早期阶段的大学生在研究中,但也是一个合适的介绍全息QCD的元素,为先进的本科生和开始研究生的广义相对论和经典场论的一些知识。

英文摘要:

String theory's holographic QCD duality makes predictions for hadron physics by building models that live in five-dimensional (5D) curved space. In this pedagogical note, we explain how finding the hadron mass spectrum in these models amounts to finding the eigenvalues of a time-independent, one-dimensional Schroedinger equation. Changing the structure of the 5D curved space is equivalent to altering the potential in the Schroedinger 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 undergraduates, this formulation can provide students with intuition for the meaning of curved space. This paper is intended primarily as a tool for researchers interested in involving early-stage undergraduates in research, but is also a suitable introduction to elements of holographic QCD for advanced undergraduate- and beginning graduate students with some knowledge of general relativity and classical field theory.

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