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arXiv · 1801.08853

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

D. Dudal·A. J. Mizher·P. Pais
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Abstract

We revisit the Coleman-Hill theorem in the context of reduced planar QED. Using the global U(1) Ward identity for this non-local 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 non-invariant case due to the Fermi velocity $v_F<c$. This is of relevance to probe possible time parity odd dynamics in a planar sheet of graphene which has an effective description in terms of $(2+1)$-dimensional planar reduced QED.

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D. Dudal, A. J. Mizher, P. Pais. 2018-01-26. Comments on the Chern-Simons photon term in the QED description of graphene. https://doi.org/10.1103/physrevd.98.065008

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