Gravitational transverse-momentum distributions

Abstract

We study the energy-momentum tensor of spin-$0$ and spin-$\frac{1}{2}$ hadrons in momentum space. We parametrize this object in terms of so-called gravitational transverse-momentum distributions, and we identify in the quark sector the relations between the latter and the usual transverse-momentum distributions. Focusing on particular components of the energy-momentum tensor, we study momentum densities, flux of inertia and stress distribution in momentum space, revealing part of the wealth of physical information that can be gained from higher-twist transverse-momentum distributions.

arXiv comment9 pages, 4 figures

References in corpus (33)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Generalized Parton Distributions
• Time-reversal odd distribution functions in leptoproduction
• Final state interactions and gauge invariant parton distributions
• Universality of T-odd effects in single spin and azimuthal asymmetries
• Generalized parton distributions and strong forces inside nucleons and nuclei
• The angular momentum controversy: What's it all about and does it matter?
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Quark Imaging in the Proton Via Quantum Phase-Space Distributions
• Relations between generalized and transverse momentum dependent parton distributions
• A QCD Analysis of the Mass Structure of the Nucleon
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Revisiting the mechanical properties of the nucleon
• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• Notes on the orbital angular momentum of quarks in the nucleon
• Parameterization of the quark-quark correlator of a spin-1/2 hadron
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• On the hadron mass decomposition
• A critique of the angular momentum sum rules and a new angular momentum sum rule
• Revisiting the proton mass decomposition
• Forces within hadrons on the light front
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• Gauge- and frame-independent decomposition of nucleon spin
• Wilson lines and orbital angular momentum
• Geometrical approach to the proton spin decomposition
• Gluon polarization in the nucleon demystified
• Covariant multipole expansion of local currents for massive states of any spin
• Snowmass 2021 White Paper: Electron Ion Collider for High Energy Physics
• Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions
• Relativistic spin sum rules and the role of the pivot
• Potential linear and angular momentum in the scalar diquark model

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• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Relativistic energy-momentum tensor distributions in a polarized nucleon
• Scale-anomaly-induced binding pressure in hadrons
• Role of higher twist distributions in the tomography of proton
• Mechanical properties of proton in the momentum space