Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
arXiv:2503.01991 · doi:10.34133/research.1155
Abstract
Momentum conservation in the nucleon is examined in terms of continuous flow of the momentum current density (or in short, momentum flow), which receives contributions from both kinetic motion and interacting forces involving quarks and gluons. While quarks conduct momentum flow through their kinetic motion and the gluon scalar (anomaly) contributes via pure interactions, the gluon stress tensor has both effects. The quarks momentum flow encodes the information of the color-Lorentz force density on them, and the momentum conservation allows to trace its origin to the gluon tensor and anomaly (a ``negative pressure'' potential). From the state-of-the-art lattice calculations and experimental fits on the form factors of the QCD energy-momentum tensor, we exhibit pictures of the momentum flow and the color-Lorentz forces on the quarks in the nucleon. In particular, the anomaly contributes a critical attractive force with a strength similar to that of a heavy-quark confinement potential.
arXiv comment6 pages, 2 figures, accepted by Research
References in corpus (37)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Unraveling hadron structure with generalized parton distributions
- Factorization for hard exclusive electroproduction of mesons in QCD
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- Off-Forward Parton Distributions
- Generalized parton distributions and strong forces inside nucleons and nuclei
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
- Nucleon Generalized Parton Distributions from Full Lattice QCD
- A QCD Analysis of the Mass Structure of the Nucleon
- Revisiting the mechanical properties of the nucleon
- Generalized Parton Distributions from Lattice QCD
- BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
- Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- The pressure distribution and shear forces inside the proton
- Defining the Proton Radius: a Unified Treatment
- Double deeply virtual Compton scattering off the nucleon
- Gravitational form factors of the proton from lattice QCD
- Forces within hadrons on the light front
- The Energy-Momentum Tensor(s) in Classical Gauge Theories
- Ambiguities in the definition of local spatial densities in light hadrons
- Measurement of the J/ photoproduction cross section over the full near-threshold kinematic region
- Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems
- Exclusive photoproduction of a pair with a large invariant mass
- On the definition of local spatial densities in hadrons
- A NOVEL LOOK AT THE MICHAEL LATTICE SUM RULES
- Extraction of the Parton Momentum-Fraction Dependence of Generalized Parton Distributions from Exclusive Photoproduction
- Scale symmetry breaking, quantum anomalous energy and proton mass decomposition
- Pressure inside hadrons: criticism, conjectures, and all that
- Lattice gauge theory computation of the static force
- Mass sum rule of hadrons in the QCD instanton vacuum
- Transverse force distributions in the proton from lattice QCD
- Quantum stresses in the hydrogen atom
- Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness