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Toward convergence of the variational mass expansion in asymptotically free theories
Acte de colloque

Toward convergence of the variational mass expansion in asymptotically free theories

Jean-Loïc Kneur et D Reynaud
HIGH ENERGY PHYSICS, VOLS I AND II, pp.1344-1346
30th International Conference on High Energy Physics (OSAKA, Japan, 27/07/2000)
2001

Résumé

OPTIMIZED DELTA-EXPANSION CONNECTED VACUUM AMPLITUDE CHIRAL-SYMMETRY BREAKING ORDER DEPENDENT MAPPINGS ANHARMONIC-OSCILLATOR PERTURBATION-THEORY SERIES PROOF
We re-examine a modification of perturbative expansions, valid for asymptotically free theories, producing "variationally improved" expansions of physical quantities relevant to dynamical (chiral) symmetry breaking. The large order behaviour of this expansion is shown to be drastically improved, for reasons analogous to the convergence properties of the delta-expansion of the anharmonic oscillator.

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