Thirring model at finite density in 0+1 dimensions with stochastic quantization

• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Verfasst von: Zielinski, Christian [VerfasserIn]
• Titel: Thirring model at finite density in 0+1 dimensions with stochastic quantization
• Titelzusatz: crosscheck with an exact solution
• Verf.angabe: Jan M. Pawlowski and Christian Zielinski
• Fussnoten: Gesehen am 01.12.20.17
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2013
• Band/Heft Quelle: (2013) Artikel-Nummer 1302.1622, 13 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565919971

Abstract

We consider a generalized Thirring model in 0+1 dimensions at finite density. In order to deal with the resulting sign problem we employ stochastic quantization, i.e., a complex Langevin evolution. We investigate the convergence properties of this approach and check in which parameter regions complex Langevin evolutions are applicable in this setting. To this end we derive numerous analytical results and compare directly with numerical results. In addition we employ indirect indicators to check for correctness. Finally we interpret and discuss our findings.