Fixed point action for the massless lattice Schwinger model

Details Fixed point action for the massless lattice Schwinger model Fixed point action for the massless lattice Schwinger model

1997-07-18

arxiv.org/abs/hep-lat/9707024v2

Nucl.Phys.B513:645-657,1998

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages (LaTeX), 6 figures (EPS); update to the published version (sorry, one year too late!)

Scientific paper

10.1016/S0550-3213(97)00720-7

We determine non-perturbatively the fixed-point action for fermions in the two-dimensional U(1) gauge (Schwinger) model. This is done by iterating a block spin transformation in the background of non-compact gauge field configurations sampled according to the (perfect) Gaussian measure. The resulting action has 123 independent couplings, is bilinear in the Grassmann fields, gauge-invariant by considered the compact gauge transporters and localized within a $7\times 7$ lattice centered around one of the fermions. We then simulate the model at various values of $\beta$ and compare with results obtained with the Wilson fermion action. We find excellent improvement for the studied observables (propagators and masses).

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