Chiral Symmetry, Renormalization Group and Fixed Points for Lattice Fermions

Details Chiral Symmetry, Renormalization Group and Fixed Points for Lattice Fermions Chiral Symmetry, Renormalization Group and Fixed Points for Lattice Fermions

1994-02-10

arxiv.org/abs/hep-lat/9402005v1

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages , preprint CBPF-NF-073/93, (e-mail: wbthz@cat.cbpf.br)

Scientific paper

We discuss fixed point actions for various types of free lattice fermions. The iterated block spin renormalization group transformation yields lines of local but chiral symmetry breaking fixed points. For staggered fermions at least the $U(1) \otimes U(1)$ symmetry can be preserved. This provides a basis for approximating perfect actions for asymptotically free theories far from the critical surface. For a class of lattice fermions that includes Wilson fermions we find in addition one non local but chirally invariant fixed point. Its vicinity is studied in the framework of the Gross Neveu model with weak four Fermi interaction.

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