%0 Journal Article
%T Borel Convergence of the Variationnally Chiral Expansion and Dynamical Symmetry Breaking
%+ Laboratoire de Physique Mathématique et Théorique (PMT)
%A Kneur, Jean-Loic
%A Reynaud, D.
%Z 16 pp, 3 figures. v2: References added. v3: mistake corrected in Eq.18. Simpler Borel convergence exhibited changes the discussion in sec.5
%< avec comité de lecture
%Z 00-025
%@ 1434-6044
%J European Physical Journal C: Particles and Fields
%I Springer Verlag (Germany)
%V 24
%N 2
%P 323-329
%8 2002-05-08
%D 2002
%Z hep-th/0107073
%R 10.1007/s100520200951
%Z Physics [physics]/High Energy Physics - Theory [hep-th]
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles
%X 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.
%G English
%L hal-00307930
%U https://hal.science/hal-00307930
%~ CNRS
%~ UNIV-MONTP2
%~ UNIV-MONTPELLIER
%~ UM1-UM2