Vanishing of the Anomaly in Lattice Chiral Gauge Theory
The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massive U (1) field coupled with left- and right-handed fermions in four dimensions. We prove in the i...
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| Veröffentlicht in: | Annales Henri Poincaré 2024, Vol.25 (1), p.1047-1081 |
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| container_title | Annales Henri Poincaré |
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| creator | Mastropietro, Vieri |
| description | The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massive
U
(1) field coupled with left- and right-handed fermions in four dimensions. We prove in the infinite volume limit, for weak coupling and inverse lattice step of the order of boson mass, that the anomaly vanishes up to subleading corrections and under the same condition as in the continuum. The proof is based on a combination of exact Renormalization Group, non-perturbative decay bounds of correlations and lattice symmetries. |
| doi_str_mv | 10.1007/s00023-023-01274-5 |
| format | Article |
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U
(1) field coupled with left- and right-handed fermions in four dimensions. We prove in the infinite volume limit, for weak coupling and inverse lattice step of the order of boson mass, that the anomaly vanishes up to subleading corrections and under the same condition as in the continuum. The proof is based on a combination of exact Renormalization Group, non-perturbative decay bounds of correlations and lattice symmetries.</description><identifier>ISSN: 1424-0637</identifier><identifier>EISSN: 1424-0661</identifier><identifier>DOI: 10.1007/s00023-023-01274-5</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Classical and Quantum Gravitation ; Dynamical Systems and Ergodic Theory ; Elementary Particles ; Fermions ; Gauge theory ; Mathematical and Computational Physics ; Mathematical Methods in Physics ; Original Paper ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; Theoretical</subject><ispartof>Annales Henri Poincaré, 2024, Vol.25 (1), p.1047-1081</ispartof><rights>The Author(s) 2023</rights><rights>The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-9933f39c28dbb73dfe3cb5d5e61c8d6b8f920f349a3d05f603ef6f3bde24b3ad3</citedby><cites>FETCH-LOGICAL-c363t-9933f39c28dbb73dfe3cb5d5e61c8d6b8f920f349a3d05f603ef6f3bde24b3ad3</cites><orcidid>0000-0002-6885-1448</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00023-023-01274-5$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00023-023-01274-5$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Mastropietro, Vieri</creatorcontrib><title>Vanishing of the Anomaly in Lattice Chiral Gauge Theory</title><title>Annales Henri Poincaré</title><addtitle>Ann. Henri Poincaré</addtitle><description>The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massive
U
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U
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Fermions Gauge theory Mathematical and Computational Physics Mathematical Methods in Physics Original Paper Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Theoretical |
| title | Vanishing of the Anomaly in Lattice Chiral Gauge Theory |
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