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

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.

arXiv comment13 pages, version to appear in PRD

References in corpus (21)

• Instantons in QCD
• Baryons as relativistic three-quark bound states
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• A QCD Analysis of the Mass Structure of the Nucleon
• First measurement of near-threshold J/$\psi$ exclusive photoproduction off the proton
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Diffractive photoproduction of $J/\psi$ and ${\rm Y}$ using holographic QCD: gravitational form factors and GPD of gluons in the proton
• Holographic $J/\psi$ production near threshold and the proton mass problem
• Revisiting the proton mass decomposition
• The chirally-odd twist-3 distribution e(x)
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Partonic quasidistributions in two-dimensional QCD
• Fundamental Properties of the Proton in Light-Front Zero Modes
• ${\rm Y}$ photo-production on the proton at the Electron-Ion Collider
• Quasi-parton distribution functions: two-dimensional scalar and spinor QCD
• Singularities in Twist-3 Quark Distributions
• Nonperturbative quark-antiquark interactions in mesonic form factors
• Parton distribution function for the gluon condensate
• Ab-initio calculation of the proton and the neutron's scalar couplings for new physics searches
• Near-threshold photoproduction of $J/\psi$ in two-gluon exchange model
• Gauge-invariant decomposition of meson energy in two-dimensional QCD

Cited by in corpus (10)

• Measurement of the J/$\psi$ photoproduction cross section over the full near-threshold kinematic region
• Glue in hadrons at medium resolution and the QCD instanton vacuum
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• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• Gluon gravitational form factors of protons from charmonium photoproduction
• One-loop electron mass and QED trace anomaly
• Mass decomposition of the pion in the 't Hooft model
• Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation
• Analysis of $J/\psi$ and $\psi (2S)$ Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies