Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-20
Phys.Rev. D60 (1999) 027701
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, revtex
Scientific paper
10.1103/PhysRevD.60.027701
In (2+1) dimensions, we consider the model of a $N$ flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and Thirring like terms. The four fermion interaction is not perturbatively renormalizable and the model is taken as an effective field theory in the region of low momenta. Using Zimmerman procedure for reducing coupling constants, it is verified that, for small values of the Chern-Simons parameter, the origin is an infrared stable fixed point but changes to ultraviolet stable as $\alpha$ becomes bigger than a critical $\alpha_c$. Composite operators are also analyzed and it is shown that a specific four fermion interaction has an improved ultraviolet behavior as $N$ increases.
Alves V. S.
da Silva Adilson Jose
Gomes Marcelo
Pinheiro S. V. L.
No associations
LandOfFree
Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study 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 Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-329079