Critical Behaviour in the Single Flavor Planar Thirring Model

Hands, S ORCID: 0000-0001-5720-7852, Mesiti, M and Worthy, J (2022) Critical Behaviour in the Single Flavor Planar Thirring Model. .

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Official URL: https://pos.sissa.it/396/539

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 Ls → ∞. 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)
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	13 Sep 2022 14:17
Last Modified:	18 Jan 2023 20:45
DOI:	10.22323/1.396.0539
Open Access URL:	https://arxiv.org/pdf/2110.03944.pdf
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3164558