Convergent series : from lattice models to QCD

par Prof. Vasily SAZONOV (University of Graz)

mercredi 2 déc. 2015, 14:30 → 15:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

The standard perturbation theory leads to the asymptotic series because of the illegal interchange of the summation and integration. However, changing the initial approximation of the perturbation theory, one can generate the convergent series. We study the lattice \phi⁴-model and compare observables calculated using the convergent series and Monte Carlo simulations. Then, we discuss the generalization of the same ideas for the continuum \phi⁴-model and QCD.