Helicity-dependent extension of the McLerran-Venugopalan model

Abstract

We construct a generalization of the McLerran-Venugopalan (MV) model including helicity effects for a longitudinally polarized target (a proton or a large nucleus). The extended MV model can serve as the initial condition for the helicity generalization of the JIMWLK evolution equation constructed in our previous paper, as well as for calculation of helicity-dependent observables in the quasi-classical approximation to QCD.

arXiv comment24 pages, 3 figures. v2 Typos and comments

References in corpus (58)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Operator expansion for high-energy scattering
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Unitarity at small Bjorken x
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Factorization and high-energy effective action
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Evolution at small x_bj: The Color Glass Condensate
• Gluon saturation and initial conditions for relativistic heavy ion collisions
• Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus
• Classical Gluon Radiation in Ultrarelativistic Nucleus-Nucleus Collisions
• Proton Spin Structure from Measurable Parton Distributions
• Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy
• Gluon orbital angular momentum at small-$x$
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Sub-eikonal corrections to scattering amplitudes at high energy
• Small-$x$ Helicity Evolution: an Operator Treatment
• Small-$x$ asymptotics of the quark helicity distribution
• A New Mechanism for Generating a Single Transverse Spin Asymmetry
• A classical Odderon in QCD at high energies
• Baryon Stopping and the Valence Quark Distribution at Small x
• Helicity-dependent generalization of the JIMWLK evolution
• Next-to-next-to-eikonal corrections in the CGC
• Single spin asymmetries from a single Wilson loop
• Small-$x$ Asymptotics of the Quark Helicity Distribution: Analytic Results
• Regge Asymptotics of Scattering with Flavour Exchange in QCD
• Proton Spin Structure at Small-$x$
• Calculating TMDs of a Large Nucleus: Quasi-Classical Approximation and Quantum Evolution
• Helicity at Small $x$: Oscillations Generated by Bringing Back the Quarks
• Quark jets scattering from a gluon field: from saturation to high $p_t$
• Rapidity loss, spin and angular asymmetries in scattering of a quark from color field of a proton (nucleus)
• The initial state of heavy-ion collisions
• Reggeon Interactions in Perturbative QCD
• Single transverse-spin asymmetries in forward pion production at high energy: incorporating small-x effects in the target
• Studying the Perturbative Reggeon
• Probing the Sivers function with an unpolarized target: GTMD distributions and the Odderons
• Sivers Function in the Quasi-Classical Approximation
• Valence Quark Transversity at Small $x$
• Nonsinglet Contributions to the Structure Function g1 at Small-x
• Quark-Antiquark Exchange in ${\gamma }^{\ast }{\gamma }^{\ast }$ Scattering
• Space-Time Picture of Baryon Stopping in the Color-Glass Condensate
• Polarized Hyperons from pA Scattering in the Gluon Saturation Regime
• The saturation scale and its x-dependence from Lambda polarization studies
• Particle Production in the Color Class Condensate: from electron-proton DIS to proton-nucleus collisions

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• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
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• 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
• Helicity Evolution at Small $x$: the Single-Logarithmic Contribution
• DIS dijet production at next-to-eikonal accuracy in the CGC
• Analytic Solution for the Revised Helicity Evolution at Small $x$ and Large $N_c$: New Resummed Gluon-Gluon Polarized Anomalous Dimension and Intercept
• T-odd Leading-Twist Quark TMDs at Small $x$
• Scattering and gluon emission in a color field: a light-front Hamiltonian approach
• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• Energy evolution of T-odd gluon TMDs at small $x$
• On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Color-glass condensate beyond the Gaussian approximation
• Proton spin from small-$x$ with constraints from the valence quark model