Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-10
Eur.Phys.J.C24:323-329,2002
Physics
High Energy Physics
High Energy Physics - Theory
16 pp, 3 figures. v2: References added. v3: mistake corrected in Eq.18. Simpler Borel convergence exhibited changes the discus
Scientific paper
10.1007/s100520200951
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.
Kneur Jean-Loic
Reynaud D.
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