Hadron structure from lattice quantum chromodynamics

Abstract

This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin and distribution of the charge, magnetization, momentum and spin of hadrons. Following an introduction to some of the most important hadron structure observables, we summarize the methods and techniques employed for their calculation in lattice QCD. We briefly discuss the status of relevant chiral perturbation theory calculations needed for controlled extrapolations of the lattice results to the physical point. In the main part of this report, we give an overview of lattice calculations on hadron form factors, moments of (generalized) parton distributions, moments of hadron distribution amplitudes, and other important hadron structure observables. Whenever applicable, we compare with results from experiment and phenomenology, taking into account systematic uncertainties in the lattice computations. Finally, we discuss promising results based on new approaches, ideas and techniques, and close with remarks on future perspectives of the field.

189 pages, to be published in Physics Reports

References in corpus (38)

• Ab-initio Determination of Light Hadron Masses
• Nucleon Electromagnetic Form Factors
• Chiral Perturbation Theory and Baryon Properties
• Global Analysis of Helicity Parton Densities and Their Uncertainties
• Nucleon electromagnetic form factors
• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• Update of Parton Distributions at NNLO
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Twisted mass lattice QCD
• Transverse spin structure of the nucleon from lattice QCD simulations
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Chiral Perturbation Theory Beyond One Loop
• Measurement of Parton Distributions of Strange Quarks in the Nucleon from Charged-Kaon Production in Deep-Inelastic Scattering on the Deuteron
• Revisiting γγ->π^+π^- at low energies
• Interplay of Spin and Orbital Angular Momentum in the Proton
• Dispersion representations for hard exclusive processes
• The pion form factor from lattice QCD with two dynamical flavours
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
• Use of stochastic sources for the lattice determination of light quark physics
• The axial N to Delta transition form factors from Lattice QCD
• Tomography for amplitudes of hard exclusive processes
• Hadron structure at low Q^2
• Nucleon distribution amplitudes from lattice QCD
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Generalized Parton Distributions from Hadronic Observables: Non-Zero Skewness
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• Non-perturbative renormalization of three-quark operators
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Irreducible Multiplets of Three-Quark Operators on the Lattice: Controlling Mixing under Renormalization
• Hadronic structure from the lattice
• Probing Nucleon Structure on the Lattice
• Simulating at Realistic Quark Masses: Pseudoscalar Decay Constants and Chiral Logarithms
• A Review of Nucleon Spin Calculations in Lattice QCD

Cited by in corpus (116)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Baryons as relativistic three-quark bound states
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Large-Momentum Effective Theory
• Quark Wigner Distributions and Orbital Angular Momentum
• Gauge bosons at zero and finite temperature
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• Elements of a theory for multiparton interactions in QCD
• A Lattice Calculation of Parton Distributions
• Theoretical considerations on multiparton interactions in QCD
• Exploring quark transverse momentum distributions with lattice QCD
• Nucleon form factors, generalized parton distributions and quark angular momentum
• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• The pressure distribution and shear forces inside the proton
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Introduction to GPDs and TMDs
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Pion generalized parton distribution from lattice QCD
• QCD Analysis of Near-Threshold Photon-Proton Production of Heavy Quarkonium
• Effective confining potentials for QCD
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Deeply Virtual Meson Production on the nucleon
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Nucleon structure from basis light-front quantization
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• A Lattice Study of the Glue in the Nucleon
• Interpretation of the Flavor Dependence of Nucleon Form Factors in a Generalized Parton Distribution Model
• Meson dominance of hadron form factors and large-Nc phenomenology
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Variational Approach to the Calculation of gA
• Light mesons with one dynamical gluon on the light front
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Dirac and Pauli form factors from lattice QCD
• Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model
• Azimuthal asymmetries for hadron distributions inside a jet in hadronic collisions
• Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
• Updated analysis of near-threshold heavy quarkonium production for probe of proton's gluonic gravitational form factors
• A Feynman-Hellmann approach to the spin structure of hadrons
• Nucleon generalized form factors from two-flavor lattice QCD
• Electromagnetic form factors of the nucleon in effective field theory
• Deeply Virtual Compton Scattering at a Proposed High-Luminosity Electron-Ion Collider
• Generalized Parton Distributions: visions, basics, and realities
• Gluon Gravitational Form Factors at Large Momentum Transfer
• The Evolution of Meson Masses in a Strong Magnetic Field
• Modelling the nucleon structure
• Generalized parton distributions through universal moment parameterization: zero skewness case
• Quasi-parton distribution functions: a study in the diquark spectator model
• Generalized parton distributions through universal moment parameterization: non-zero skewness case
• Scaling Exponents for Lattice Quantum Gravity in Four Dimensions
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• <x>_{u-d} from lattice QCD at nearly physical quark masses
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Helicity-dependent generalized parton distributions for nonzero skewness
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• Leading twist generalized parton distributions and spin densities in a proton
• Hadronic vacuum polarization function within dispersive approach to QCD
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• The gravitational form factor D(t) of the electron
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Form Factors of the Nucleon Axial Current
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• Magnetic moments of mesons
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Vacuum Condensate Picture of Quantum Gravity
• On the Implementation of General Background Electromagnetic Fields on a Periodic Hypercubic Lattice
• Lattice QCD constraints on the parton distribution functions of ${}^3\text{He}$
• Nucleon tensor form factors induced by isovector and isoscalar currents in QCD
• Charge Symmetry Breaking in Parton Distribution Functions from Lattice QCD
• Deep inelastic scattering cross sections from the gauge/string duality
• Measuring spin correlation between quarks during QCD confinement
• Generalized parton distributions in the soft-wall model of AdS/QCD
• The transverse structure of the QCD string
• Collins and Sivers effects in p(transv. polarized) p --> jet pion X: Universality and process dependence
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Double parton distributions in the pion from lattice QCD
• Perturbative renormalization functions of local operators for staggered fermions with stout improvement
• Double parton distributions in the nucleon from lattice QCD
• Chiral symmetry breaking and the spin content of the rho and rho' mesons
• Finite volume corrections to the electromagnetic current of the nucleon
• Tensor form factors of the octet hyperons in QCD
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Transverse strange quark spin structure of the nucleon
• Spin structure of the nucleon: QCD evolution, lattice results and models
• Hadron Structure in Lattice QCD
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Tensor meson couplings in AdS/QCD
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Hadronic contributions to electroweak observables within DPT
• Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
• Multiparton interactions and multiparton distributions in QCD
• Exploring the Pion phenomenology within a fully covariant constituent quark model
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
• Isovector and isoscalar tensor form factors of $N(1535)\to N$ transition in light-cone QCD
• One-Loop Quantum Stress-Energy Tensor for the Kink and sine-Gordon Solitons
• The first PDF moments for three dynamical flavors in Baryon Chiral Perturbation Theory
• R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms
• Toward an advanced phenomenology of $\pi N$ transition distribution amplitudes
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation
• Chiral symmetry breaking and the spin content of hadrons
• The nucleon properties in finite temperature and density with Gaussian fluctuations
• Hadron Structure on the Lattice
• Finite Volume corrections to $<x{>}_{u\pm d}$
• Revealing chiral-odd two-meson generalized distribution amplitudes in $e^{-}{e}^{+}\to (\pi \pi )(\pi \pi )$ reactions