Analysis and visualisation code for "Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model"
Authors/Creators
- 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
Files
gross_neveu_magnetic_field_analysis.zip
Files
(93.4 kB)
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md5:358e7c81d4de97239b97ff88795a5aa2
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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