Solving the Bars-Green equation for moving mesons in two-dimensional QCD

doi:10.1007/JHEP11(2017)151

	Solving the Bars-Green equation for moving mesons in two-dimensional QCD
	Li LJ(李留记); Liang SR(梁爽然); Jia Y(贾宇); Xiong, Xiaonu; Li, Liuji; Liang, Shuangran; Jia, Yu
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2017
期号	11 页码:151
关键词	1/N Expansion Field Theories in Lower Dimensions
ISSN号	1029-8479
DOI	10.1007/JHEP11(2017)151
文献子类	Article
英文摘要	The two-dimensional QCD in the large N limit, generally referred to as the 't Hooft model, is numerically investigated in the axial gauge in a comprehensive manner. The corresponding Bethe-Salpeter equation for a bound q (q) over bar pair, originally derived by Bars and Green in 1978, was first numerically tackled by Li and collaborators in late 1980s, yet only for the stationary mesons. In this paper, we make further progress by numerically solving the Bars-Green equation for moving mesons, ranging from the chiral pion to charmonium. By choosing several different quark masses, we computed the corresponding quark condensates, meson spectra and their decay constants for a variety of meson momenta, and found satisfactory agreement with their counterparts obtained using light-cone gauge, thus numerically verifed the gauge and Poincare invariance of the 't Hooft model. Moreover, we have explicitly confirmed that, as the meson gets more and more boosted, the large component of the Bars-Green wave function indeed approaches the corresponding 't Hooft light-cone wave function, while the small component of the wave function rapidly fades away.
WOS关键词	T-HOOFT MODEL ; CHIRAL SYMMETRY-BREAKING ; YANG-MILLS THEORY ; QUANTUM CHROMODYNAMICS ; 1+1 DIMENSIONS ; 1-N EXPANSION ; LIGHT-CONE ; GAUGE ; CONFINEMENT ; SYSTEMS
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000416355700005
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/284658]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Li LJ,Liang SR,Jia Y,et al. Solving the Bars-Green equation for moving mesons in two-dimensional QCD[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(11):151.
APA	李留记.,梁爽然.,贾宇.,Xiong, Xiaonu.,Li, Liuji.,...&Jia, Yu.(2017).Solving the Bars-Green equation for moving mesons in two-dimensional QCD.JOURNAL OF HIGH ENERGY PHYSICS(11),151.
MLA	李留记,et al."Solving the Bars-Green equation for moving mesons in two-dimensional QCD".JOURNAL OF HIGH ENERGY PHYSICS .11(2017):151.