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The phase diagram of the three dimensional Thirring model

Simon Hands, Biagio Lucini Orcid Logo

Physics Letters B, Volume: "B461", Issue: 3, Pages: 263 - 269

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately eq...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1999
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27971
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Abstract: We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately equal to 3 with critical exponents consistent with expectations from previous studies. For Nf=5 the order of the transition is difficult to determine on the lattice sizes explored. We present a phase diagram for the model in the (1/g^2,Nf) plane and contrast our findings with expectations based on approximate solutions of the continuum Schwinger-Dyson equations.
College: Faculty of Science and Engineering
Issue: 3
Start Page: 263
End Page: 269