Large-N_f chiral transition in the Yukawa model
| dc.creator | Caracciolo, Sergio | |
| dc.creator | Mognetti, Bortolo Matteo | |
| dc.creator | Pelissetto, Andrea | |
| dc.date | 2006-01-14 | |
| dc.date.accessioned | 2026-07-07T08:39:32Z | |
| dc.date.available | 2026-07-07T08:39:32Z | |
| dc.description | We investigate the finite-temperature behavior of the Yukawa model in which $N_{f}$ fermions are coupled with a scalar field $ϕ$ in the limit $N_f \to \infty$. Close to the chiral transition the model shows a crossover between mean-field behavior (observed for $N_f = \infty$) and Ising behavior (observed for any finite $N_f$). We show that this crossover is universal and related to that observed in the weakly-coupled $ϕ^4$ 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. | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0601018 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0601018 | |
| dc.identifier | Nucl.Phys. B 741 (2006) 421-440 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.02.029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141107 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Large-N_f chiral transition in the Yukawa model | |
| dc.type | text |