用Domain Wall費米子探討晶格點量子色動力學裡的強 子質譜

Abstract

量子色動力學(Quantum Chromodynamics)是研究強作用力的基礎理論,而晶格 點量子色動力學(Lattice QCD)——將時空視為不連續的晶格來研究量子色動力學 ——是由第一原理出發,用非微擾方式解QCD的最可靠方法。 在這篇論文中,我 們使用趙挺偉教授所計算的夸克傳播子來研究強子的質譜。 即使π介子(pion)的質 量在這些系統比實驗值重,我們仍然可以在晶格大小為243 × 48下,計算出由魅夸 克(charm quark)和奇夸克(strange quark)組成的介子和重子質量。這些質量也與 高能實驗結果符合。

Quantum Chromodynamics (QCD) is the fundamental theory for the strong interaction inside the nucleus, and lattice QCD (formulating QCD on a discrete space-time lattice) is the most viable way to solve QCD nonperturbatively from the first principles. In this thesis, using the quark propagators computed by Professor Ting-Wai Chiu, we perform an exploratory study of the hadron mass spectrum in lattice QCD with optimal domain-wall fermion, in 2-flavors QCD on the 243 × 48 lattice. Even the pion masses of these gauge ensembles are unphysically heavy, after extrapolation to Mπ = 140 MeV, the mass spectra of the mesons and baryons containing charm and strange quarks are in good agreement with the high energy experimental results.