Remarks on the Chern-Simons photon term in the QED description of graphene

We revisit the Coleman-Hill theorem in the context of reduced planar QED. Using the global U(1) Ward identity for this nonlocal but still gauge-invariant theory, we can confirm that the topological piece of the photon self-energy at zero momentum does not receive further quantum corrections apart fr...

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Bibliographic Details
Published in:Physical review. D 2018-09, Vol.98 (6), p.065008, Article 065008
Main Authors: Dudal, David, Mizher, Ana Júlia, Pais, Pablo
Format: Article
Language:English
Subjects:
Graphene
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Summary:We revisit the Coleman-Hill theorem in the context of reduced planar QED. Using the global U(1) Ward identity for this nonlocal but still gauge-invariant theory, we can confirm that the topological piece of the photon self-energy at zero momentum does not receive further quantum corrections apart from the potential one-loop contribution, even when considering the Lorentz-noninvariant case due to the Fermi velocity vF
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.065008