Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-12
Nucl.Phys. B490 (1997) 653-686
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 4 PostScipt figures, plain TeX. Final version to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(97)00102-8
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 two-dimensional chiral Gross-Neveu 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\to \infty $, 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.
Comellas Jordi
Kubyshin Yuri
Moreno Enrique
No associations
LandOfFree
Exact renormalization group study of fermionic theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact renormalization group study of fermionic theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact renormalization group study of fermionic theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-200572