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arXiv · 2010.06665

Mass structure of hadrons and light-front sum rules in t' Hooft model

Xiangdong Ji·Yizhuang Liu·Ismail Zahed
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Abstract

We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-momentum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at $x=0$ without the delta function contribution. We also consider the result for the massless Goldstone boson, as well as the structure of the gravitational form factors of the bound meson states.

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Xiangdong Ji, Yizhuang Liu, Ismail Zahed. 2020-10-13. Mass structure of hadrons and light-front sum rules in t' Hooft model. https://doi.org/10.1103/physrevd.103.074002

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