Critical Behaviour in the Single Flavor Planar Thirring Model

Hands, Simon ORCID: 0000-0001-5720-7852, Mesiti, Michele and Worthy, Jude (2021) Critical Behaviour in the Single Flavor Planar Thirring Model. In: The 38th International Symposium on Lattice Field Theory, 2021-7-25 - ?.

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Official URL: http://dx.doi.org/10.22323/1.396.0539

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.

Item Type:	Conference or Workshop Item (Unspecified)
Additional Information:	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
Uncontrolled Keywords:	hep-lat, hep-lat, cond-mat.str-el, hep-th
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	11 Jul 2022 15:27
Last Modified:	15 Mar 2024 18:27
DOI:	10.22323/1.396.0539
Open Access URL:	https://pos.sissa.it/396/539/
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3158211