A fixed-point action for the lattice Schwinger model

Details A fixed-point action for the lattice Schwinger model A fixed-point action for the lattice Schwinger model

1997-09-09

arxiv.org/abs/hep-lat/9709018v1

Nucl.Phys.Proc.Suppl. 63 (1998) 898-900

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages (LaTeX), 2 figures (EPS)

Scientific paper

10.1016/S0920-5632(97)00934-1

We determine non-perturbatively a fixed-point (FP) action for fermions in the two-dimensional U(1) gauge (Schwinger) model. Our parameterization for the fermionic action has terms within a $7\times 7$ square on the lattice, using compact link variables. With the Wilson fermion action as starting point we determine the FP-action by iterating a block spin transformation (BST) with a blocking factor of 2 in the background of non-compact gauge field configurations sampled according to the (perfect) Gaussian measure. We simulate the model at various values of $\beta$ and find excellent improvement for the studied observables.

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