scholarly journals Deep-inelastic scattering and the operator product expansion in lattice QCD

2006 ◽  
Vol 73 (1) ◽  
Author(s):  
William Detmold ◽  
C.-J. David Lin
Keyword(s):  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Deep Inelastic Scattering ◽  
Operator Product Expansion ◽  
Operator Product

ON A RELATIVISTIC DESCRIPTION OF THE DEEP INELASTIC SCATTERING ON THE DEUTERON

1995 ◽  
Vol 10 (02) ◽  
pp. 91-102 ◽  
Author(s):  
A. YU. UMNIKOV ◽  
F. C. KHANNA
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Operator Product Expansion ◽  
Sum Rules ◽  
Expansion Method ◽  
Baryon Number ◽  
Operator Product ◽  
Normalization Condition ◽  
Relativistic Description ◽  
Covariant Field

The deep inelastic scattering on deuteron is considered in a fully covariant field theoretical approach. All calculations are performed within the Bethe–Salpeter formalism and the operator product expansion method. We obtain the explicit form of the nucleon contribution and mesonic exchange corrections to the deuteron structure function [Formula: see text]. The sum rules for the baryon number and energy-momentum of the deuteron are derived using the normalization condition of the Bethe–Salpeter amplitude and the virial theorem of field theory.

scholarly journals SHORT DISTANCE REPULSION AMONG BARYONS

2013 ◽  
Vol 22 (05) ◽  
pp. 1330012 ◽  
Author(s):  
SINYA AOKI ◽  
JANOS BALOG ◽  
TAKUMI DOI ◽  
TAKASHI INOUE ◽  
PETER WEISZ
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Lattice Qcd ◽  
Operator Product Expansion ◽  
Short Distance ◽  
Numerical Results ◽  
Wave Functions ◽  
Operator Product ◽  
Distance Behavior

We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu–Bethe–Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the short distance behavior of the NBS wave functions and the corresponding potentials by combining the operator product expansion (OPE) and a renormalization group (RG) analysis in the perturbation theory (PT) of QCD. These analytic results are compared with numerical results obtained in lattice QCD simulations.

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).

scholarly journals SMALL-x EVOLUTION IN THE NEXT-TO-LEADING ORDER

2009 ◽  
Vol 24 (35n37) ◽  
pp. 3052-3061
Author(s):  
GIOVANNI ANTONIO CHIRILLI
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Cross Sections ◽  
Wilson Line ◽  
High Energy ◽  
Operator Product ◽  
Leading Order ◽  
Running Coupling ◽  
Energy Behavior ◽  
Small X

After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the high-energy behavior of amplitudes in gauge theories can be reformulated in terms of the evolution of Wilson-line operators. In the leading order this evolution is governed by the non-linear Balitsky-Kovchegov (BK) equation. In order to see if this equation is relevant for existing or future deep inelastic scattering (DIS) accelerators (like Electron Ion Collider (EIC) or Large Hadron electron Collider (LHeC)) one needs to know the next-to-leading order (NLO) corrections. In addition, the NLO corrections define the scale of the running-coupling constant in the BK equation and therefore determine the magnitude of the leading-order cross sections. In Quantum Chromodynamics (QCD), the next-to-leading order BK equation has both conformal and non-conformal parts. The NLO kernel for the composite operators resolves in a sum of the conformal part and the running-coupling part. The QCD and [Formula: see text] kernel of the BK equation is presented.

scholarly journals Operator product expansion and quark condensate from lattice QCD in coordinate space

2005 ◽  
Vol 41 (4) ◽  
pp. 535-544 ◽  
Author(s):  
V. Gimenez ◽  
V. Lubicz ◽  
F. Mescia ◽  
V. Porretti ◽  
J. Reyes
Keyword(s):  
Lattice Qcd ◽  
Operator Product Expansion ◽  
Quark Condensate ◽  
Coordinate Space ◽  
Operator Product

Deep inelastic scattering in improved lattice QCD (II). The second moment of structure functions

1995 ◽  
Vol 456 (1-2) ◽  
pp. 271-295 ◽  
Author(s):  
Giuseppe Beccarini ◽  
Massimo Bianchi ◽  
Stefano Capitani ◽  
Giancarlo Rossi
Keyword(s):  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Deep Inelastic Scattering ◽  
Structure Functions ◽  
Second Moment

scholarly journals Testing the operator product expansion Wilson coefficient forA2from lattice QCD with a dynamical charm

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
B. Blossier ◽  
Ph. Boucaud ◽  
M. Brinet ◽  
F. De Soto ◽  
V. Morenas ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Wilson Coefficient
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