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Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
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abstract
Understanding the spin structure of hadrons in the small $x$ regime is an important direction to unravel the spin puzzle in hadronic physics. To include spin degrees of freedom in the small $x$ regime requires going beyond the usual eikonal approximation in high energy QCD. We developed an effective Hamiltonian approach to study spin related observables in the small $x$ regime using the shockwave formalism. The small-$x$ effective Hamiltonian incorporates both quark and gluon propagators in the background fields and the background field induced interaction vertices up to next-to-eikonal order. A novel feature of sub-eikonal interactions is the background gluon field induced gluon radiation inside the shockwave. Its relation to chromo-electrically polarized Wilson line correlator is established both in small $x$ helicity evolution and in longitudinal double-spin asymmetry for gluon production.
Forward citations
Cited by 3 Pith papers
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Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$
An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.
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Forward parton-nucleus scattering at next-to-eikonal accuracy in the CGC
Full next-to-eikonal quark and gluon propagators in a dynamical gluon background are derived, and forward quark and gluon production cross sections are computed for quark-nucleus and gluon-nucleus scattering.
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Quasi-Classical Evaluation of Gluon Saturation Induced Helicity Effects
A saturation-induced helicity-dependent A+ gluon field contributes at order Qs^6 to the two-particle dijet correlation and further suppresses the back-to-back peak in polarized e-A collisions.
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