The Phase diagram of the three dimensional Thirring model
Jun, 199913 pages
Published in:
- Phys.Lett.B 461 (1999) 263-269
e-Print:
- hep-lat/9906008 [hep-lat]
Report number:
- SWAT-99-231,
- IFUP-TH-31-99
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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.Note:
- 13 pages, 7 figures Report-no: SWAT/99/231 IFUP-TH 31/99
- 11.10.Kk
- 11.30.Rd
- 11.15.Ha
- Four-fermi
- Monte Carlo simulation
- Dynamical fermions
- Chiral symmetry breaking
- Renormalisation group fixed point
- lattice field theory
- Thirring model
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