An Application of Feynman-Kleinert Approximants to the Massive Schwinger Model on a Lattice

Details An Application of Feynman-Kleinert Approximants to the Massive Schwinger Model on a Lattice An Application of Feynman-Kleinert Approximants to the Massive Schwinger Model on a Lattice

2003-03-07

arxiv.org/abs/hep-lat/0303007v1

Phys.Rev. D68 (2003) 016002

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 4 figures, 5 tables

Scientific paper

10.1103/PhysRevD.68.016002

A trial application of the method of Feynman-Kleinert approximants is made to perturbation series arising in connection with the lattice Schwinger model. In extrapolating the lattice strong-coupling series to the weak-coupling continuum limit, the approximants do not converge well. In interpolating between the continuum perturbation series at large fermion mass and small fermion mass, however, the approximants do give good results. In the course of the calculations, we picked up and rectified an error in an earlier derivation of the continuum series coefficients.

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