Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamically Generated Anomalous Magnetic Moment in Massless QED   In this paper we investigate the non-perturbative generation of an anomalous
magnetic moment for massless fermions in the presence of an external magnetic
field. In the context of massless QED in a magnetic field, we prove that the
phenomenon of magnetic catalysis of chiral symmetry breaking, which has been
associated in the literature with dynamical mass generation, is also
responsible for the generation of a dynamical anomalous magnetic moment. As a
consequence, the degenerate energy of electrons in Landau levels higher than
zero exhibits Zeeman splitting. We explicitly report the splitting for the
first Landau level and find the non-perturbative Lande $\textit{g}$-factor and
Bohr magneton. We anticipate that a dynamically generated anomalous magnetic
moment will be a universal feature of theories with magnetic catalysis. Our
findings can be important for condensed planar systems as graphene, as well as
for highly magnetized dense systems as those forming the core of compact stars.

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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin