Chirality distributions inside baryons in $\mathrm{QC}{\mathrm{D}}_2$

Abstract

The connection between the spin distribution and the topological structure of the baryon is an open and important problem. Here we address it using QCD in $(1+1)$ spacetime dimensions, which is exactly solvable at large number of colors $N$. It is found that the distribution of chirality inside a baryon is drastically different from a chirality distribution inside states with zero baryon number, ``mesons". This difference is shown to arise from the topological structure of the baryon -- at large $N$, all of the baryon's chirality is concentrated near $x=0$, whereas in a meson state it vanishes in the small $x$ limit. Our results illustrate how the constituent features of the baryon reemerge and are tied to the topological features of the bosonized solitonic solution. Possible implications for QCD in $(3+1)$ dimensions and for deep inelastic scattering experiments are discussed.

arXiv comment15 pages, 2 figures

References in corpus (22)

• The Spin Structure of the Nucleon
• The theory and phenomenology of polarized deep inelastic scattering
• Parton distributions and lattice QCD calculations: a community white paper
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Can Gluons Trace Baryon Number?
• Deep inelastic scattering as a probe of entanglement
• Screening vs. Confinement in 1+1 Dimensions
• The Spin Structure of the Proton
• Pion and Rho Structure Functions from Lattice QCD
• Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD
• Bosonization and QCD in Two Dimensions
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• Deep inelastic scattering as a probe of entanglement: confronting experimental data
• Updating QCD${}_2$
• Evidence for the maximally entangled low $x$ proton in Deep Inelastic Scattering from H1 data
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• Quantum information approach to high energy interactions
• Entanglement entropy production in deep inelastic scattering
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• Towards a Quantum Theory of Solitons
• Rapidity evolution of the entanglement entropy in quarkonium: parton and string duality
• Entanglement entropy and flow in two dimensional QCD: parton and string duality