Comments on QED$_3$ in a Magnetic Field

Fuente: arXiv
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Autores principales: Dumitrescu, Thomas T., Maldacena, Juan
Formato: Preprint
Publicado: 2025
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author Dumitrescu, Thomas T.
Maldacena, Juan
author_facet Dumitrescu, Thomas T.
Maldacena, Juan
contents We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is sufficiently strong. As observed previously, we find that the vacuum spontaneously breaks some of the global symmetries. We also determine the spectrum of excitations around this vacuum, and compute the resulting low-energy effective action. We use techniques that were previously developed for quantum Hall ferromagnets in condensed matter physics.
format Preprint
id arxiv_https___arxiv_org_abs_2508_03532
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comments on QED$_3$ in a Magnetic Field
Dumitrescu, Thomas T.
Maldacena, Juan
High Energy Physics - Theory
Strongly Correlated Electrons
We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is sufficiently strong. As observed previously, we find that the vacuum spontaneously breaks some of the global symmetries. We also determine the spectrum of excitations around this vacuum, and compute the resulting low-energy effective action. We use techniques that were previously developed for quantum Hall ferromagnets in condensed matter physics.
title Comments on QED$_3$ in a Magnetic Field
topic High Energy Physics - Theory
Strongly Correlated Electrons
url https://arxiv.org/abs/2508.03532