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

David Dudal (KU Leuven Campus Kortrijk—Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium; Ghent University, Department of Physics and Astronomy, Krijgslaan 281-S9, 9000 Gent, Belgium) ; Ana Júlia Mizher (KU Leuven Campus Kortrijk—Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium; Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271—Bloco II, 01140-070 Sáo Paulo, SP, Brazil) ; Pablo Pais (KU Leuven Campus Kortrijk—Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium; Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 18000 Prague 8, Czech Republic)

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<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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      "source": "APS", 
      "value": "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 <math><msub><mi>v</mi><mi>F</mi></msub><mo>&lt;</mo><mi>c</mi></math>. 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 (<math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional planar reduced QED."
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Published on:
10 September 2018
Publisher:
APS
Published in:
Physical Review D , Volume 98 (2018)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevD.98.065008
arXiv:
1801.08853
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: