Schwinger Model as Prototype for Confined Fermions

The Schwinger Model with Perfect Staggered Fermions

We construct and test a quasi-perfect lattice action for staggered fermions. The construction starts from free fermions, where we suggest a new blocking scheme, which leads to excellent locality of the perfect action. An adequate truncation preserves a high quality of the free action. An Abelian gauge field is inserted in d = 2 by effectively tuning the couplings to a few short-ranged lattice p...

The Lattice Schwinger Model with Slac Fermions* - -

The lattice Schwinger model with SLAC fermions is analyzed with two methods: a Hartree-Fock calculation of the ground state wavefunction, and a weak coupling approximation involving a truncated SLAC derivative. It is shown that $ Goldstone boson of chiral symmetry is actually present, but in the weak coupling limit it acquires infinite velocity. Submitted to Nuclear Physics B * Work supported b...

Gauge Invariant Variational Approach with Fermions: the Schwinger Model

We extend the gauge invariant variational approach of [1] to theories with fermions. As the simplest example we consider the massless Schwinger model in 1+1 dimensions. We show that in this solvable model the simple variational calculation gives exact results. PACS numbers: 03.70, 11.15, 12.38 Typeset using REVTEX ∗E-mail: [email protected] †E-mail: [email protected] ‡E-m...

Critical behavior of the Schwinger model with Wilson fermions.

The Schrödinger Representation for Fermions and a Local Expansion of the Schwinger Model

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuum wave-functional does not simplify at large distances, but it may be reconstructed as a large time limit of the Schrödinger functional, which has ...