From Static Potentials to High-Energy Scattering
arXiv:hep-ph/0301084
Abstract
We develop a loop-loop correlation model for a unified description of static color dipole potentials, confining QCD strings, and hadronic high-energy reactions with special emphasis on saturation effects manifesting S-matrix unitarity at ultra-high energies. The model combines perturbative gluon exchange with the non-perturbative stochastic vacuum model which describes color confinement via flux-tube formation of color fields. We compute the chromo-field distributions of static color dipoles in various SU(N_c) representations and find Casimir scaling in agreement with recent lattice QCD results. We investigate the energy stored in the confining string and use low-energy theorems to show consistency with the static quark-antiquark potential. We generalize Meggiolaro's analytic continuation from parton-parton to dipole-dipole scattering and obtain a Euclidean approach to high-energy scattering that allows us in principle to calculate S-matrix elements in lattice QCD. In this approach we compute high-energy dipole-dipole scattering with the Euclidean loop-loop correlation model. Together with a universal energy dependence and reaction-specific wave functions, the result forms the basis for a unified description of proton-proton, pion-proton, kaon-proton, photon-proton, and photon-photon reactions in good agreement with experimental data for cross sections, slope parameters, and structure functions. The obtained impact parameter profiles for proton-proton and longitudinal photon-proton reactions and the impact parameter dependent gluon distribution of the proton xG(x,Q^2,b) show saturation at ultra-high energies in accordance with unitarity constraints.
116 pages, 27 figures, doctoral thesis (Dissertation), University of Heidelberg
References in corpus (29)
- Computing Quark and Gluon Distribution Functions for Very Large Nuclei
- Instantons in QCD
- Nonlinear Gluon Evolution in the Color Glass Condensate: I
- Casimir scaling of SU(3) static potentials
- Field correlators in QCD. Theory and applications
- BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
- Non-Perturbative QCD Treatment of High-Energy Hadron-Hadron Scattering
- High energy scattering and the AdS/CFT correspondence
- Baryonic Correlation Functions in the Random Instanton Vacuum
- HERA Collider Physics
- Static SU(3) potentials for sources in various representations
- Extracting the dipole cross-section from photo- and electro-production total cross-section data
- Photon-Proton and Photon-Photon Scattering from Nucleon-Nucleon Forward Amplitudes
- Soft QCD Dynamics of Elastic Scattering in Impact Parameter Representation
- Perturbation theory in the nonperturbative QCD vacuum
- Total Hadronic Cross-Section of Photon-Photon Interactions at LEP
- Can One See the Number of Colors?
- A Comprehensive Approach to Structure Functions
- A NOVEL LOOK AT THE MICHAEL LATTICE SUM RULES
- Deep Inelastic Scattering Data and the Problem of Saturation in Small-x Physics
- Heavy quark potential in the instanton liquid model
- Scaling in total cross sections, saturation and the gluon density
- Adjoint "quarks" on coarse anisotropic lattices: Implications for string breaking in full QCD
- Decomposition of the QCD String into Dipoles and Unintegrated Gluon Distributions
- Colour: A Computer Program for QCD Colour Factor Calculations
- Diffractive color-dipole nucleon scattering
- Higher twists in deep inelastic scattering
- F_2 at low Q^2
- Non-Perturbative High-Energy QCD