65 citations · 100 across the 6 of their papers we have counts for
4 papers · 1 filter
(Borel) convergence of the variationally improved mass expansion and the O(N) Gross-Neveu model mass gap
J. -L. Kneur, D. Reynaud
We reconsider in some detail a construction allowing (Borel) convergence of an alternative perturbative expansion, for specific physical quantities of asymptotically free models. T…
Renormalon disappearance in Borel sum of the 1/N expansion of the Gross-Neveu model mass gap
J. -L. Kneur, D. Reynaud
The exact mass gap of the O(N) Gross-Neveu model is known, for arbitrary , from non-perturbative methods. However, a "naive" perturbative expansion of the pole mass exhibits an…
Borel convergence of the variationally improved mass expansion and dynamical symmetry breaking
J. -L. Kneur, D. Reynaud
A modification of perturbation theory, known as delta-expansion (variationally improved perturbation), gave rigorously convergent series in some D=1 models (oscillator energy level…
Dual generalizations of sine-Gordon field theory and integrability submanifolds in parameter space
P. Baseilhac, D. Reynaud
The dual relationship between two n-1 parameter families of quantum field theories based on extended complex numbers is investigated in two dimensions. The non-local conserved char…