Exact Ground State and String Tension in Massive Lattice Schwinger Model

Abstract：

A new Hamiltonian in the massive lattice Schwinger model is proposed and the exajet ground state found. The string tension of the infinite string is exactly calculated in both the Naive and Susskind fermion schemes. The result shows that in both massless and massive lattice Schwinger models the string tension is equal to 1/2 e². This indicates that as in the massless Schwinger model, one can obtain the linear confinement potential in the massive Schwinger model and no deconfinement phase transition occurs when a approaches to 0. This result is in accord with that obtained in the continuum theory.