MONTE-CARLO SIMULATION OF THE 3-DIMENSIONAL THIRRING MODEL

Citation
L. Deldebbio et S. Hands, MONTE-CARLO SIMULATION OF THE 3-DIMENSIONAL THIRRING MODEL, Physics letters. Section B, 373(1-3), 1996, pp. 171-177
Citations number
29
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
373
Issue
1-3
Year of publication
1996
Pages
171 - 177
Database
ISI
SICI code
0370-2693(1996)373:1-3<171:MSOT3T>2.0.ZU;2-9
Abstract
We study the Thining model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8(3) and 12(3), for numbers of Fermion flavors N-f = 2, 4, 6. For sufficiently strong interaction st rength, we find that spontaneous chiral symmetry breaking occurs for N -f = 2,4, in accordance with the predictions of the Schwinger-Dyson ap proach. The phase transitions which occur are continuous and with crit ical scaling behaviour depending on N-f. For N-f = 6 our results are p reliminary, and no firm conclusions about the existence or otherwise o f chiral symmetry breaking are possible.