Improved vector and scalar masses in the massive Schwinger model

Details Improved vector and scalar masses in the massive Schwinger model Improved vector and scalar masses in the massive Schwinger model

2002-12-15

arxiv.org/abs/hep-th/0212171v1

Phys.Lett. B555 (2003) 132-137

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 1 figure, needed macro: psbox.tex

Scientific paper

10.1016/S0370-2693(03)00051-0

The lowest (``vector'') and next-lowest (``scalar'') bound-state masses of the massive Schwinger model have been determined recently to a very high accuracy numerically on the lattice. Therefore, improved results for these bound-state masses from analytical calculations are of some interest. Here, we provide such improved results by employing both standard and renormal-ordered (fermion) mass perturbation theory, as well as a consistency condition between the two perturbative calculations. The resulting bound-state masses are in excellent agreement with the lattice results for small and intermediate fermion mass, and remain within 10% of the exact results even in the limit of very large fermion mass.

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