ANALYSIS OF SERIES CONVERGENCE IN VARIATIONAL PERTURBATION-THEORY ANDGAUSSIAN EFFECTIVE POTENTIAL

Authors
SISSAKIAN AN SOLOVTSOV IL SHEVCHENKO OY
Citation
An. Sissakian et al., ANALYSIS OF SERIES CONVERGENCE IN VARIATIONAL PERTURBATION-THEORY ANDGAUSSIAN EFFECTIVE POTENTIAL, International journal of modern physics A, 9(11), 1994, pp. 1797-1820
Citations number
36
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
9
Issue
11
Year of publication
1994
Pages
1797 - 1820
Database
ISI
SICI code
0217-751X(1994)9:11<1797:AOSCIV>2.0.ZU;2-I
Abstract
The properties of convergence are studied for the series in the variat ional perturbation theory for the phi4(d) model. The nonperturbative G aussian effective potential is derived from a more general approach, t he variational perturbation theory. Various versions of the variationa l procedure are explored and the preference of the anharmonic variatio nal procedure in view of convergence of the obtained series is argued.