Improved vector and scalar masses in the massive Schwinger model

Abstract

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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References in corpus (2)

• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• A New Finite-lattice study of the Massive Schwinger Model

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