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arXiv · hep-th/9507055

Renormalization of Matter Field Theories on the Lattice and the Flow Equation

M. Pernici·M. Raciti·F. Riva
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Abstract

We give a new proof of the renormalizability of a class of matter field theories on a space-time lattice; in particular we consider $ϕ^4$ and massive Yukawa theories with Wilson fermions. We use the Polchinski approach to renormalization, which is based on the Wilson flow equation; this approach is substantially simpler than the BPHZ method, applied to the lattice by Reisz. We discuss matter theories with staggered fermions. In particular we analyse a simple kind of staggered fermions with minimal doubling, using which we prove the renormalizability of a chiral sigma model with exact chiral symmetry on the lattice.

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M. Pernici, M. Raciti, F. Riva. 1995-07-10. Renormalization of Matter Field Theories on the Lattice and the Flow Equation. https://doi.org/10.1016/0550-3213(95)00546-3

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