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Physics NotePublished

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

W. Bietenholz

1993

Publication details

Authors
W. Bietenholz
Type
Physics Note
Status
Published
Publication date
1993
Description
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 <math>U(1) \otimes U(1)\,\!</math> 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.
Year
1993
Number
CBPF-NF-073/93
Linked to a thesis
No
Linked to a grant
No
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