Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1843423 | Nuclear Physics B | 2006 | 20 Pages |
Abstract
We investigate the finite-temperature behavior of the Yukawa model in which Nf fermions are coupled with a scalar field Ï in the limit Nfââ. Close to the chiral transition the model shows a crossover between mean-field behavior (observed for Nf=â) and Ising behavior (observed for any finite Nf). We show that this crossover is universal and related to that observed in the weakly-coupled Ï4 theory. It corresponds to the renormalization-group flow from the unstable Gaussian fixed point to the stable Ising fixed point. This equivalence allows us to use results obtained in field theory and in medium-range spin models to compute Yukawa correlation functions in the crossover regime.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Sergio Caracciolo, Bortolo Matteo Mognetti, Andrea Pelissetto,