1999/02/10 by L. Del Debbio, Luigi Del Debbio, Simon Hands +1 · 1 citation
Mathematics · Physics and Astronomy · #Coupling (piping) #Critical exponent #Critical phenomena #Fermion #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Monte Carlo method #Particle physics theoretical and experimental studies #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum tunnelling #Symmetry breaking #Thirring model #hep-lat
paper · pdf · doi:10.1016/s0550-3213(99)00258-8
published as Nucl.Phys. B552 (1999) 339-362 · 29 pages, 13 figures
arxiv created 1999/02/10 · openalex publication_date 1999/07/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present Monte Carlo simulation results for the three dimensional Thirring model for numbers of fermion flavors Nf=4 and 6. For Nf=4 we find a second order chiral symmetry breaking transition at strong coupling, corresponding to an ultra-violet fixed point of the renormalisation group defining a non-trivial continuum limit. The critical exponents extracted from a fit to a model equation of state are distinct from those found for Nf=2. For Nf=6, in contrast, we present evidence for tunnelling between chirally symmetric and broken vacua at strong coupling, implying that the phase transition is first order and no continuum limit exists. The implications for the phase diagram of the model in the plane of coupling strength and Nf are briefly discussed.