Large order behavior in perturbation theory of the pole mass and the singlet static potential

We discuss upon recent progress in our knowledge of the large order behavior in perturbation theory of the pole mass and the singlet static potential. We also discuss about the renormalon subtracted scheme, a matching scheme between QCD and any effective field theory with heavy quarks where, besides the usual perturbative matching, the first renormalon in the Borel plane of the pole mass is subtracted.Comment: 6 pages, LaTeX, AIP proceedings style. Talk given at QCD@work conference, Martina Franca, Italy, 16-20 Jun 2001. One reference adde

Is there a linear potential at short distances?

We argue that the lattice data of the static potential can be explained by perturbation theory up to energies of the order of 1 GeV once renormalons effects are taken into accountComment: 6 pages, 5 figures, Invited talk given at QCD03, 2-9 July, Montpellier, Franc

New results on inclusive quarkonium decays

I review some recent progress, leading to a substantial reduction in the number of non-perturbative parameters, in the calculation of inclusive quarkonium decay widths in the framework of non-relativistic effective field theories.Comment: 4 pages, 3 figures, to be published in the proceedings of the XXXVIIth Rencontres de Moriond (QCD and High Energy Hadronic Interactions), 16-23 March 2002, Les Arcs, Franc

Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation

In the framework of potential NRQCD, we obtain the next-to-leading-log renormalization-group running of the matching coefficients for the heavy quarkonium production currents near threshold. This allows to obtain S-wave heavy-quarkonium production/annihilation observables with next-to-leading-log accuracy within perturbative QCD. In particular, we give expressions for the decays of heavy quarkonium to e^+e^- and to two photons. We also compute the O(m\alpha^8\ln^3\alpha) corrections to the Hydrogen spectrum.Comment: 15 pages, 4 figures, LaTeX, more detailed explanations, added references, computation of the O(m\alpha^8\ln^3\alpha) corrections to the Hydrogen spectrum included. Final versio

The Mode of Computing

The Turing Machine is the paradigmatic case of computing machines, but there are others, such as Artificial Neural Networks, Table Computing, Relational-Indeterminate Computing and diverse forms of analogical computing, each of which based on a particular underlying intuition of the phenomenon of computing. This variety can be captured in terms of system levels, re-interpreting and generalizing Newell's hierarchy, which includes the knowledge level at the top and the symbol level immediately below it. In this re-interpretation the knowledge level consists of human knowledge and the symbol level is generalized into a new level that here is called The Mode of Computing. Natural computing performed by the brains of humans and non-human animals with a developed enough neural system should be understood in terms of a hierarchy of system levels too. By analogy from standard computing machinery there must be a system level above the neural circuitry levels and directly below the knowledge level that is named here The mode of Natural Computing. A central question for Cognition is the characterization of this mode. The Mode of Computing provides a novel perspective on the phenomena of computing, interpreting, the representational and non-representational views of cognition, and consciousness.Comment: 35 pages, 8 figure