PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Critical behaviour in the single-flavor Planar Thirring Model
S. Hands*, M. Mesiti and J. Worthy
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
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.
DOI: https://doi.org/10.22323/1.396.0539
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