Speaker
Mr
Aleksandr Ivanov
(Faculty of Physics M.V.Lomonosov Moscow State University)
Description
The small coupling expansions in the lattice field theory are asymptotic
and do not converge. It was shown in previous studies, that an appropriate regularization of the integrals or shifting of the initial approximation allows one to construct convergent series.
In this work we study the convergent series in application to the lattice $\phi^4$-model
and compare the observables calculated using the series with the results of the Monte Carlo simulations.
In addition, we consider the Borel resummation of the weak coupling lattice $\phi^4$-perturbation theory.
Primary author
Mr
Aleksandr Ivanov
(Faculty of Physics M.V.Lomonosov Moscow State University)
Co-authors
Mr
Vasily Sazonov
(University of Graz)
Mr
Vladimir Belokurov
(Faculty of Physics M. V. Lomonosov Moscow State University)
