Published March 9, 2023 | Version v1.0.0
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Analysis and visualisation code for "Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model"

  • 1. Swansea University
  • 2. University of Jena

Description

We study the Gross-Neveu model in 2 + 1 dimensions in an external magnetic field B. We
first summarize known mean-field results, obtained in the limit of large flavor number N f , before
presenting lattice results using the overlap discretization to study one reducible fermion flavor,
N f = 1. Our findings indicate that the magnetic catalysis phenomenon, i.e., an increase of the chiral
condensate with the magnetic field, persists beyond the mean-field limit for temperatures below the
chiral phase transition and that the critical temperature grows with increasing magnetic field. This
is in contrast to the situation in QCD, where the broken phase shrinks with increasing B while the
condensate exhibits a non-monotonic B-dependence close to the chiral crossover, and we comment on
this discrepancy. We do not find any trace of inhomogeneous phases induced by the magnetic field.

 

If you use this software, please cite the corresponding paper:
https://doi.org/10.48550/arXiv.2302.05279 (or better the not-yet-existing published version)

Notes

This work has been funded by the Deutsche Forschungs- gemeinschaft (DFG) under Grant No. 406116891 within the Research Training Group RTG 2522/1. The simula- tions were performed on resources of the Friedrich Schiller University in Jena supported in part by the DFG Grants INST 275/334-1 FUGG and INST 275/363-1 FUGG. The work of J. J. L. was partly supported by the UKRI Sci- ence and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1 and by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government.

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gross_neveu_magnetic_field_analysis.zip

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Additional details

Related works

Is supplement to
Preprint: 10.48550/arXiv.2302.05279 (DOI)
Is supplemented by
Dataset: 10.5281/zenodo.7627752 (DOI)

Funding

UK Research and Innovation
Reproducible analysis frameworks in Lattice Field Theory and STFC-enabled computational research in Wales EP/V052489/1