Ref HAL: hal-00307930_v1
Ref Arxiv: hep-th/0107073
DOI: 10.1007/s100520200951
WoS: 000176937900014
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
6 Citations
Résumé:

A modification of perturbation theory, known as delta-expansion (variationally improved perturbation), gave rigorously convergent series in some D=1 models (oscillator energy levels) with factorially divergent ordinary perturbative expansions. In a generalization of variationally improved perturbation appropriate to renormalizable asymptotically free theories, we show that the large expansion orders of certain physical quantities are similarly improved, and prove the Borel convergence of the corresponding series for $m_v \lsim 0$, with $m_v$ the new (arbitrary) mass perturbation parameter. We argue that non-ambiguous estimates of quantities relevant to dynamical (chiral) symmetry breaking in QCD, are possible in this resummation framework.

Commentaires: 16 pp, 3 figures. v2: References added. v3: mistake corrected in Eq.18. Simpler Borel convergence exhibited changes the discussion in sec.5