Exact renormalization group study of fermionic theories
Abstract
The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the twodimensional chiral GrossNeveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two solutions are obtained analytically in the limit N → ∞, with N being the number of fermionic species. For finite N some fixed point solutions, with their anomalous dimensions and critical exponents, are computed numerically. The issue of separation of physical results from the numerous spurious ones is discussed. We argue that one of the solutions we find can be identified with that of Dashen and Frishman, whereas the others seem to be new ones.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)001028
 arXiv:
 arXiv:hepth/9512086
 Bibcode:
 1997NuPhB.490..653C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pages, 4 PostScipt figures, plain TeX. Final version to appear in Nucl. Phys. B