scholarly journals Frame-independent spatial coordinate z̃ : Implications for light-front wave functions, deep inelastic scattering, light-front holography, and lattice QCD calculations

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Gerald A. Miller ◽  
Stanley J. Brodsky
Keyword(s):  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Deep Inelastic Scattering ◽  
Wave Functions ◽  
Light Front ◽  
Spatial Coordinate ◽  
Scattering Light

scholarly journals TWIST-THREE DISTRIBUTION f⊥(x, k⊥) IN LIGHT-FRONT HAMILTONIAN APPROACH

2011 ◽  
Vol 26 (35) ◽  
pp. 2653-2662 ◽  
Author(s):  
A. MUKHERJEE ◽  
R. KORRAPATI
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
The State ◽  
Light Front ◽  
Hamiltonian Approach ◽  
Gluon Interaction

We calculate the twist-three distribution f⊥(x, k⊥) contributing to Cahn effect in unpolarized semi-inclusive deep inelastic scattering. We use light-front Hamiltonian technique and take the state to be a dressed quark at one-loop in perturbation theory. The "genuine twist-three" contribution comes from the quark–gluon interaction part in the operator and is explicitly calculated. f⊥(x, k⊥) is compared with f1(x, k⊥).

scholarly journals Deep inelastic scattering on the quark-gluon plasma

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Marco Cè ◽  
Tim Harris ◽  
Harvey B. Meyer ◽  
Arianna Toniato
Keyword(s):  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Deep Inelastic Scattering ◽  
Quark Gluon Plasma ◽  
Parton Distribution Function ◽  
Parton Model ◽  
Gluon Plasma ◽  
Structure Functions ◽  
Longitudinal Momentum ◽  
Model Interpretation

Abstract We provide an interpretation of the structure functions of a thermal medium such as the quark-gluon plasma in terms of the scattering of an incoming electron on the medium via the exchange of a spacelike photon. We then focus on the deep-inelastic scattering (DIS) regime, and formulate the corresponding moment sum rules obeyed by the structure functions. Accordingly, these moments are given by the thermal expectation value of twist-two operators, which is computable from first principles in lattice QCD for the first few moments. We also show how lattice QCD calculations can be used to probe how large the photon virtuality needs to be in order for the Bjorken scaling of structure functions to set in. Finally, we provide the parton-model interpretation of the structure functions in the Bjorken limit and test its consistency. As in DIS on the proton, the kinematic variable x is proportional to the longitudinal momentum carried by the partons, however x ranges from zero to infinity. Choosing the parton momentum parametrization to be xT u where u is the fluid four-velocity and T its temperature in the rest frame, the parton distribution function for a plasma of non-interacting quarks is proportional to x log(1 + e−x/2).

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