Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-27
Phys.Rev.D81:085005,2010
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 2 figures
Scientific paper
10.1103/PhysRevD.81.085005
We study renormalization group flows in the Lifshitz-like $N$-flavour four fermi model discussed in 0905.2928. In the large-$N$ limit, a nontrivial flow occurs in only one of all possible marginal couplings and one relevant coupling, which provides the scale for Lorentz invariance violations. We discuss in detail the phase diagram and RG flows in the space of couplings, which includes the Lifshitz fixed point, the free field fixed point and a new fixed point characterized by $z=1$ scaling and a violation of Lorentz invariance, which cannot be tuned away by adjusting a parameter. In the broken symmetry phase, the model flows from the $z=3$ Lifshitz-like fixed point in the ultraviolet to this new fixed point in the infrared. However, in a modified version of the present model, which has an effective ultraviolet cut-off much smaller than the Lorentz invariance violating scale, the infrared behaviour is governed by an approximately Lorentz invariant theory, similar to the low energy limit of the usual relativistic Nambu$-$Jona-Lasinio model. Such a modified model could be realized by a supersymmetric version of the present model.
Dhar Avinash
Mandal Gautam
Nag Partha
No associations
LandOfFree
Renormalization group flows in a Lifshitz-like four fermi model 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 Renormalization group flows in a Lifshitz-like four fermi model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization group flows in a Lifshitz-like four fermi model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-195976