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 . 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 ()-dimensional planar reduced QED.
{ "_oai": { "updated": "2022-03-04T10:59:43Z", "id": "oai:repo.scoap3.org:42544", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "David Dudal", "affiliations": [ { "country": "Belgium", "value": "KU Leuven Campus Kortrijk\u2014Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium" }, { "country": "Belgium", "value": "Ghent University, Department of Physics and Astronomy, Krijgslaan 281-S9, 9000 Gent, Belgium" } ], "surname": "Dudal", "given_names": "David", "full_name": "Dudal, David" }, { "raw_name": "Ana J\u00falia Mizher", "affiliations": [ { "country": "Belgium", "value": "KU Leuven Campus Kortrijk\u2014Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium" }, { "country": "Brazil", "value": "Instituto de F\u00edsica Te\u00f3rica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271\u2014Bloco II, 01140-070 S\u00e1o Paulo, SP, Brazil" } ], "surname": "Mizher", "given_names": "Ana J\u00falia", "full_name": "Mizher, Ana J\u00falia" }, { "raw_name": "Pablo Pais", "affiliations": [ { "country": "Belgium", "value": "KU Leuven Campus Kortrijk\u2014Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium" }, { "country": "Czech Republic", "value": "Faculty of Mathematics and Physics, Charles University, V Hole\u0161ovi\u010dk\u00e1ch 2, 18000 Prague 8, Czech Republic" } ], "surname": "Pais", "given_names": "Pablo", "full_name": "Pais, Pablo" } ], "titles": [ { "source": "APS", "title": "Remarks on the Chern-Simons photon term in the QED description of graphene" } ], "dois": [ { "value": "10.1103/PhysRevD.98.065008" } ], "publication_info": [ { "journal_volume": "98", "journal_title": "Physical Review D", "material": "article", "journal_issue": "6", "year": 2018 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:29:13.548313", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 11 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2018" } ], "control_number": "42544", "record_creation_date": "2018-09-10T16:00:18.375921", "_files": [ { "checksum": "md5:56b787eb0b0719f434bc535b7f041de3", "filetype": "pdf", "bucket": "b1223b70-6564-4fee-956e-efe682f7d2bb", "version_id": "bbbfd098-70f5-468c-9f5c-e6e053bd64a7", "key": "10.1103/PhysRevD.98.065008.pdf", "size": 257915 }, { "checksum": "md5:1814c1ddb914db204f21be82e4463f72", "filetype": "xml", "bucket": "b1223b70-6564-4fee-956e-efe682f7d2bb", "version_id": "bc936c7f-07eb-4519-af24-50233cdaa97f", "key": "10.1103/PhysRevD.98.065008.xml", "size": 249172 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.mes-hall" ], "value": "1801.08853" } ], "abstracts": [ { "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><</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." } ], "imprints": [ { "date": "2018-09-10", "publisher": "APS" } ] }