Critical Behaviour in the Single Flavor Planar Thirring Model
| Autor: | Hands, Simon, Mesiti, Michele, Worthy, Jude |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We report results of simulations of the $2+1d$ Thirring model with $N$ fermion flavors, defined on a lattice using domain wall fermions. This approach is devised to respect as far as possible the underlying U($2N$) symmetry of the continuum model, expected to be recovered in the limit wall separation $L_s\to\infty$. For $N=1$ there is a symmetry-breaking phase transition associated with bilinear condensation at strong fermion self-interaction, which is a plausible location for a quantum critical point. Fits to a renormalisation group-inspired equation of state yield critical exponents distinct from those obtained using a version of the model defined using staggered fermions. Comment: 7 pages, 4 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, July 36-30, 2021 Zoom/Gather@Massachusetts Institute of Technology |
| Databáze: | arXiv |
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