Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD

We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different approaches to hadronic high-energy scattering. In the context of the Euclidean nonperturbative approach to soft high-energy scattering based on Wilson loops, we refine the nonperturbative justification of the analytic continuation relations of the relevant Wilson-loop correlators, required to obtain physical results. In the context of longitudinally-rescaled actions, we study the consequences of one-loop corrections on the relation between the $SU(N_c)$ gauge theory and its effective description in terms of two-dimensional principal chiral models.Comment: Revised version with minor corrections, matches published version; 40 pages, 4 figure

Agriculture and economic recovery in post-conflict countries: Lessons we never learnt

Rapport

Extremal k-pseudocompact abelian groups

For a cardinal k, generalizing a recent result of Comfort and van Mill, we prove that every k-pseudocompact abelian group of weight >k has some proper dense k-pseudocompact subgroup and admits some strictly finer k-pseudocompact group topology.Comment: 24 page

Walking the Line: Why the Presumption Against Extraterritorial Application of U.S. Patent Law Should Limit the Reach of 35 U.S.C. § 271(f)

The advent of the digital era and the global market pose unique challenges to intellectual property law. To adapt, U.S. patent laws require constant interpretation in the face of rapidly changing technological advances. In AT&T Corp. v. Microsoft Corp., the Federal Circuit interpreted 35 U.S.C. § 271(f) in a technology-dependent manner in order to effectuate the purpose of the law with respect to global software distribution. However, the Federal Circuit failed to consider the presumption against extraterritorial application of U.S. law, and its decision now risks international discord and harm not only to the American software industry, but other U.S. industries as well. This iBrief critiques the lower court decisions in AT&T Corp. v. Microsoft Corp. in light of the presumption against extraterritoriality, and analyzes how the Supreme Court should apply the presumption in its review of the case

High-energy behavior of hadronic total cross sections from lattice QCD

By means of a nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Wilson-loop correlation functions from Euclidean to Minkowskian theory, we shall investigate the asymptotic energy dependence of hadron-hadron total cross sections in lattice QCD: 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.Comment: Talk given (by E. Meggiolaro) at the "16th High-Energy Physics International Conference in Quantum ChromoDynamics" (QCD 12), Montpellier (France), 2-6 July 2012; 4 pages, 1 figure, 2 table