Hands, Simon 
ORCID: 0000-0001-5720-7852 and Ostmeyer, Johann ORCID: 0000-0001-7641-8030
(2023)
Spectroscopy in the 2+1$d$ Thirring Model with $N=1$ Domain Wall
Fermions.
Physical Review D: Particles, Fields, Gravitation and Cosmology, 107 (1).
014504-.
Abstract
We employ the domain wall fermion (DWF) formulation of the Thirring model on a lattice in 2+1+1 dimensions and perform $N=1$ flavor Monte Carlo simulations. At a critical interaction strength the model features a spontaneous $\mathrm{U}(2)\rightarrow\mathrm{U}(1)\otimes \mathrm{U}(1)$ symmetry breaking; we analyse the induced spin-0 mesons, both Goldstone and non-Goldstone, as well as the correlator of the fermion quasiparticles, in both resulting phases. Crucially, we determine the anomalous dimension $\eta_\psi\approx 3$ at the critical point, in stark contrast with the Gross-Neveu model in 3$d$ and with results obtained with staggered fermions. Our numerical simulations are complemented by an analytical treatment of the free fermion correlator, which exhibits large early-time artifacts due to branch cuts in the propagator stemming from unbound interactions of the fermion with its heavy doublers. These artifacts are generalisable beyond the Thirring model, being an intrinsic property of DWF, or more generally Ginsparg-Wilson fermions.
| Item Type: | Article |
|---|---|
| Additional Information: | 27 + 12 pages, 13 + 6 figures; code and data available (https://doi.org/10.17638/datacat.liverpool.ac.uk/1959) |
| Uncontrolled Keywords: | cond-mat.str-el, hep-lat, hep-lat, hep-th |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 06 Jan 2023 15:04 |
| Last Modified: | 15 Mar 2024 18:27 |
| DOI: | 10.1103/PhysRevD.107.014504 |
| Open Access URL: | https://journals.aps.org/prd/abstract/10.1103/Phys... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3166827 |
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