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

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

1995-07-10

arxiv.org/abs/hep-th/9507055v1

Nucl.Phys. B458 (1996) 355-386

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, Latex

Scientific paper

10.1016/0550-3213(95)00546-3

We give a new proof of the renormalizability of a class of matter field theories on a space-time lattice; in particular we consider $\phi^4$ 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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