Papers › Calculation of c_(SW) at one-loop order for Brillouin fermions
Calculation of c_(SW) at one-loop order for Brillouin fermions
Maximilian Ammer, Stephan Durr
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The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient c_(SW) of the clover improvement term has a perturbative expansion c_(SW)=c_(SW)⁽⁰⁾+g₀²c_(SW)⁽¹⁾+𝒪(g₀⁴). At tree-level c_(SW)⁽⁰⁾=r holds for Wilson and Brillouin fermions alike. We present the Feynman rules for the Brillouin action in lattice perturbation theory, and employ them to calculate the one-loop coefficient c_(SW)⁽¹⁾ with plaquette or L\"uscher-Weisz gluons. Numerically its value is found to be about half that of the Wilson action.
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