Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD

Abstract

The nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Wilson-loop correlation functions from Euclidean to Minkowskian theory, allows to investigate the asymptotic energy dependence of hadron-hadron total cross sections in lattice QCD. In this paper we will show, using best fits of the lattice data with proper functional forms satisfying unitarity and other physical constraints, how indications emerge in favor of a universal asymptotic high-energy behavior of the kind B log^2 s for hadronic total cross sections.

Revised and extended version; 29 pages, 4 figures

References in corpus (8)

• First measurement of the total proton-proton cross section at the LHC energy of {\surd} s =7 TeV
• Experimental Confirmation that the Proton is Asymptotically a Black Disk
• Analyticity and crossing symmetry of the eikonal amplitudes in gauge theories
• Can the pomeron be derived from a Euclidean-Minkowskian duality?
• High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT
• Universal Rise of Hadronic Total Cross Sections based on Forward pi p and pbarp(pp) Scatterings
• High-energy hadron-hadron (dipole-dipole) scattering on the lattice
• Hadron-hadron total cross sections and soft high-energy scattering on the lattice

Cited by in corpus (9)

• 50 Years of Quantum Chromodynamics
• Total Hadronic Cross Sections and π^\mp π^+ Scattering
• Hadronic total cross sections at high energy and the QCD spectrum
• Comments on high-energy total cross sections in QCD
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV
• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
• Simple Lévy-$\alpha$ stable model analysis of elastic $pp$ and $p\bar{p}$ low-$|t|$ data from SPS to LHC energies
• Impact of LHC Run-1 on particle astrophysics
• High-energy behavior of hadronic total cross sections from lattice QCD