Sum Rules for the Gravitational Form Factors Using Light-Front Dressed Quark State

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2023-07-27 DOI:10.1007/s00601-023-01841-w

Jai More, Asmita Mukherjee, Sreeraj Nair, Sudeep Saha

引用次数: 0

Abstract

We consider a light-front dressed quark state, per se, instead of a proton state, we consider a simple composite spin-1/2 state of a quark dressed with a gluon. This perturbative model incorporates gluonic degrees of freedom, which enable us to evaluate the gravitational form factors (GFFs) of the quark as well as the gluon in this model (More et al. Phys Rev D 105(5):056017, 2022. arXiv:2112.06550, https://doi.org/10.1103/PhysRevD.105.056017; Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD, 2023. arXiv:2302.11906). We employ the Hamiltonian framework and choose the light-front gauge \(A^+=0\). We calculate the four GFFs and corroborate the sum rules that GFFs satisfy. The GFF DD is attributed to information like pressure, shear, and energy distributions. We analyze some of these distributions for a dressed quark state at one loop in QCD.

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利用光锋修整夸克态的引力形式因子的和规则

我们考虑一个光前修饰夸克态，而不是质子态，我们考虑一个简单的复合自旋1/2的夸克与胶子修饰态。这个微扰模型包含了胶子自由度，这使我们能够在这个模型中评估夸克和胶子的引力形状因子(gff) (More等)。物理学报，35(5):56017,2022。arXiv:2112.06550, https://doi.org/10.1103/PhysRevD.105.056017;光前哈密顿QCD中胶子对修饰夸克力学性质的贡献，2023。arXiv:2302.11906)。我们采用哈密顿框架，并选择轻前规\(A^+=0\)。我们计算了四种gff，并证实了gff满足的和规则。GFF DD归因于压力、剪切和能量分布等信息。我们分析了QCD中一环修饰夸克态的一些分布。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).