arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0712.0633nucl-thhep-lathep-phnucl-ex
收藏

强子性质与Dyson-Schwinger方程

Hadron Properties and Dyson-Schwinger Equations

C. D. Roberts

摘要:

本文从戴森-施温格方程的观点综述了强子和量子色动力学的理论和唯象。在讨论了光夸克禁闭的定义和实现之后,描述了QCD中运行质量的非微扰性质以及从与当前夸克质量中的可观测量的扩展的收敛半径有关的间隙方程的推论。文中还着重介绍了赝标介子的一些精确结果,并讨论了与U_A(1)问题有关的细节和最轻J= 0,1态的计算质量。通过比较中子和质子的泡利和狄拉克形状因子的ln加权比,以及夸克轨道角动量对静止核子自旋的贡献,概括和说明了核子性质的研究。对强子和核中夸克研究的未来前景的评论使这一贡献更加完善。

英文摘要:

An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U_A(1) problem, and calculated masses of the lightest J=0,1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.

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。

↑