Article ID Journal Published Year Pages File Type
1843423 Nuclear Physics B 2006 20 Pages PDF
Abstract
We investigate the finite-temperature behavior of the Yukawa model in which Nf fermions are coupled with a scalar field ϕ in the limit Nf→∞. Close to the chiral transition the model shows a crossover between mean-field behavior (observed for Nf=∞) and Ising behavior (observed for any finite Nf). We show that this crossover is universal and related to that observed in the weakly-coupled ϕ4 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
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