Large-N_f behavior of the Yukawa model: analytic results
| dc.creator | Caracciolo, Sergio | |
| dc.creator | Mognetti, Bortolo Matteo | |
| dc.creator | Pelissetto, Andrea | |
| dc.date | 2005-09-20 | |
| dc.date.accessioned | 2026-07-07T06:22:58Z | |
| dc.date.available | 2026-07-07T06:22:58Z | |
| dc.description | We investigate the Yukawa model in which $N_f$ fermions are coupled with a scalar field $ϕ$ through a Yukawa interaction. The phase diagram is rather well understood. If the fermions are massless, there is a chiral transition at $T_c$: for $T < T_c$ chiral symmetry is spontaneously broken. At $N_f=\infty$ the transition is mean-field like, while, for any finite $N_f$, standard arguments predict Ising behavior. This apparent contradiction has been explained by Kogut et al., who showed by scaling arguments and Monte Carlo simulations that in the large-$N_f$ limit the width of the Ising critical region scales as a power of $1/N_f$, so that only mean-field behavior is observed for $N_f$ strictly equal to infinity. We will show how the results of Kogut et al. can be recovered analytically in the framework of a generalized $1/N_f$ expansion. The method we use is a simple generalization of the method we have recently applied to a two-dimensional generalized Heisenberg model. | |
| dc.description | Talk presented at XXIIIrd International Symposium on Lattice Field Theory, 25-30 July 2005, Trinity College, Dublin, Ireland | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0509063 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0509063 | |
| dc.identifier | PoS LAT2005 (2005) 187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96075 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Large-N_f behavior of the Yukawa model: analytic results | |
| dc.type | text |