Monte Carlo Simulation of the Three Dimensional Thirring Model

Luigi Del Debbio, Simon Hands

Research output: Contribution to journalArticlepeer-review

Abstract

We study the Thirring 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 strength, we find that spontaneous chiral symmetry breaking occurs for N_f=2,4, in accordance with the predictions of the Schwinger-Dyson approach. The phase transitions which occur are continuous and with critical scaling behaviour depending on N_f. For N_f=6 our results are preliminary, and no firm conclusions about the existence or otherwise of chiral symmetry breaking are possible
Original languageEnglish
Pages (from-to)171–177
JournalPhysics Letters B
Volume373
Issue number1-3
DOIs
Publication statusPublished - 8 Dec 1995

Keywords

  • hep-lat
  • hep-th
  • Model field theory
  • 1/N expansion
  • Schwinger-Dyson equation
  • Chiral symmetry breaking
  • Lattice simulation
  • Dynamical Fermions

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