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

21 Sep 2018  ·  Dudal D., Mizher A. J., Pais P. ·

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. read more

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High Energy Physics - Theory Mesoscale and Nanoscale Physics