Critical behavior of the Schwinger model with Wilson fermions

Critical behavior of the Schwinger model with Wilson fermions.

The chiral limit of the two - flavor lattice Schwinger model with Wilson fermions ∗

We study the 2-flavor lattice Schwinger model with Wilson fermions in the chiral limit. The quark mass is determined using the PCAC definition. We numerically compute the masses of the iso-triplet (π) and iso-singlet particles (η) for different quark masses and compare our results with analytical formulas.

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...

39 v 1 1 3 Se p 19 95 LNF - 95 / 049 ( P ) CRITICAL BEHAVIOR OF THE SCHWINGER MODEL WITH WILSON FERMIONS

We present a detailed analysis, in the framework of the MFA approach, of the critical behaviour of the lattice Schwinger model with Wilson fermions on lattices up to 24 2 , through the study of the Lee-Yang zeros and the specific heat. We find compelling evidence for a critical line ending at κ = 0.25 at large β. Finite size scaling analysis on lattices 8 2 , 12 2 , 16 2 , 20 2 and 24 2 indicat...