Pub Date : 2019-06-03DOI: 10.1142/9789811213984_0009
C. Lane
Noncommutative geometry has become popular mathematics for describing speculative physics beyond the Standard Model. Noncommutative QED has long been known to fit within the framework of the Standard-Model Extension (SME). We argue in this work that noncommutative gravity also fits within the SME framework.
{"title":"Noncommutative Gravity and the Standard-Model Extension","authors":"C. Lane","doi":"10.1142/9789811213984_0009","DOIUrl":"https://doi.org/10.1142/9789811213984_0009","url":null,"abstract":"Noncommutative geometry has become popular mathematics for describing speculative physics beyond the Standard Model. Noncommutative QED has long been known to fit within the framework of the Standard-Model Extension (SME). We argue in this work that noncommutative gravity also fits within the SME framework.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116343607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-26DOI: 10.1142/9789811213984_0037
Benjamin R. Edwards
The general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A large class of associated Finsler spaces is derived, and the properties of these spaces is explored.
{"title":"Lorentz Violation and Riemann–Finsler Geometry","authors":"Benjamin R. Edwards","doi":"10.1142/9789811213984_0037","DOIUrl":"https://doi.org/10.1142/9789811213984_0037","url":null,"abstract":"The general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A large class of associated Finsler spaces is derived, and the properties of these spaces is explored.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129617435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-23DOI: 10.1142/9789811213984_0007
Y. Bonder, C. Corral
A method to find the symmetries of a theory in the first order formalism of gravity is presented. This method is applied to the minimal gravity sector of the Standard Model Extension. It is argued that no inconsistencies arise when Lorentz violation is explicit and the relation between Lorentz violation and invariance under (active) diffeomorphisms is clearly exposed.
{"title":"Symmetries in the SME Gravity Sector: A Study in the First-Order Formalism","authors":"Y. Bonder, C. Corral","doi":"10.1142/9789811213984_0007","DOIUrl":"https://doi.org/10.1142/9789811213984_0007","url":null,"abstract":"A method to find the symmetries of a theory in the first order formalism of gravity is presented. This method is applied to the minimal gravity sector of the Standard Model Extension. It is argued that no inconsistencies arise when Lorentz violation is explicit and the relation between Lorentz violation and invariance under (active) diffeomorphisms is clearly exposed.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126650749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-21DOI: 10.1142/9789811213984_0043
Lijing Shao
Pulsars are precision celestial clocks. When being put in a binary, the ticking conveys the secret of underlying spacetime geometrodynamics. We use pulsars to test if the gravitational interaction possesses a tiny deviation from Einstein's General Relativity (GR). In the framework of Standard-Model Extension (SME), we systematically search for Lorentz-violating operators cataloged by (a) the minimal couplings of mass dimension 4, (b) the CPT symmetry of mass dimension 5, and (c) the gravitational weak equivalence principle (GWEP) of mass dimension 8. No deviation from GR was found yet.
{"title":"Pulsar Tests of Gravitational Lorentz Violation","authors":"Lijing Shao","doi":"10.1142/9789811213984_0043","DOIUrl":"https://doi.org/10.1142/9789811213984_0043","url":null,"abstract":"Pulsars are precision celestial clocks. When being put in a binary, the ticking conveys the secret of underlying spacetime geometrodynamics. We use pulsars to test if the gravitational interaction possesses a tiny deviation from Einstein's General Relativity (GR). In the framework of Standard-Model Extension (SME), we systematically search for Lorentz-violating operators cataloged by (a) the minimal couplings of mass dimension 4, (b) the CPT symmetry of mass dimension 5, and (c) the gravitational weak equivalence principle (GWEP) of mass dimension 8. No deviation from GR was found yet.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115890395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-01DOI: 10.1103/PhysRevD.98.112013
B. Aharmim, S. N. Ahmed, A. Anthony, N. Barros, E. Beier, A. Bellerive, B. Beltrán, M. Bergevin, S. Biller, E. Blucher, R. Bonventre, K. Boudjemline, M. Boulay, B. Cai, E. Callaghan, J. Caravaca, Y. Chan, D. Chauhan, M. Chen, B. Cleveland, G. Cox, X. Dai, H. Deng, F. Descamps, J. Detwiler, P. Doe, G. Doucas, P.-L. Drouin, M. Dunford, S. Elliott, H. C. Evans, G. Ewan, J. Farine, H. Fergani, F. Fleurot, R. Ford, J. Formaggio, N. Gagnon, K. Gilje, J. Goon, K. Graham, E. Guillian, S. Habib, R. L. Hahn, A. Hallin, E. Hallman, P. Harvey, R. Hazama, W. Heintzelman, J. Heise, R. Helmer, A. Hime, C. Howard, M. Huang, P. Jagam, B. Jamieson, N. Jelley, M. Jerkins, C. Kéfélian, K. Keeter, J. Klein, L. Kormos, M. Kos, A. Krüger, C. Kraus, C. Krauss, T. Kutter, C. Kyba, K. Labe, B. Land, R. Lange, A. Latorre, J. Law, I. Lawson, K. Lesko, J. Leslie, I. Levine, J. Loach, R. Maclellan, S. Majerus, H. Mak, J. Maneira, R. Martin, A. Mastbaum, N. McCauley, A. McDonald, S. McGee, M. L. Miller, B. Monreal, J. Monroe, B. Nick
Experimental tests of Lorentz symmetry in systems of all types are critical for ensuring that the basic assumptions of physics are well founded. Data from all phases of the Sudbury Neutrino Observatory, a kiloton-scale heavy water Cherenkov detector, are analyzed for possible violations of Lorentz symmetry in the neutrino sector. Such violations would appear as one of eight possible signal types in the detector: six seasonal variations in the solar electron neutrino survival probability differing in energy and time dependence and two shape changes to the oscillated solar neutrino energy spectrum. No evidence for such signals is observed, and limits on the size of such effects are established in the framework of the standard model extension, including 38 limits on previously unconstrained operators and improved limits on 16 additional operators. This makes limits on all minimal, Dirac-type Lorentz violating operators in the neutrino sector available for the first time.
{"title":"Tests of Lorentz Invariance at the Sudbury Neutrino Observatory","authors":"B. Aharmim, S. N. Ahmed, A. Anthony, N. Barros, E. Beier, A. Bellerive, B. Beltrán, M. Bergevin, S. Biller, E. Blucher, R. Bonventre, K. Boudjemline, M. Boulay, B. Cai, E. Callaghan, J. Caravaca, Y. Chan, D. Chauhan, M. Chen, B. Cleveland, G. Cox, X. Dai, H. Deng, F. Descamps, J. Detwiler, P. Doe, G. Doucas, P.-L. Drouin, M. Dunford, S. Elliott, H. C. Evans, G. Ewan, J. Farine, H. Fergani, F. Fleurot, R. Ford, J. Formaggio, N. Gagnon, K. Gilje, J. Goon, K. Graham, E. Guillian, S. Habib, R. L. Hahn, A. Hallin, E. Hallman, P. Harvey, R. Hazama, W. Heintzelman, J. Heise, R. Helmer, A. Hime, C. Howard, M. Huang, P. Jagam, B. Jamieson, N. Jelley, M. Jerkins, C. Kéfélian, K. Keeter, J. Klein, L. Kormos, M. Kos, A. Krüger, C. Kraus, C. Krauss, T. Kutter, C. Kyba, K. Labe, B. Land, R. Lange, A. Latorre, J. Law, I. Lawson, K. Lesko, J. Leslie, I. Levine, J. Loach, R. Maclellan, S. Majerus, H. Mak, J. Maneira, R. Martin, A. Mastbaum, N. McCauley, A. McDonald, S. McGee, M. L. Miller, B. Monreal, J. Monroe, B. Nick","doi":"10.1103/PhysRevD.98.112013","DOIUrl":"https://doi.org/10.1103/PhysRevD.98.112013","url":null,"abstract":"Experimental tests of Lorentz symmetry in systems of all types are critical for ensuring that the basic assumptions of physics are well founded. Data from all phases of the Sudbury Neutrino Observatory, a kiloton-scale heavy water Cherenkov detector, are analyzed for possible violations of Lorentz symmetry in the neutrino sector. Such violations would appear as one of eight possible signal types in the detector: six seasonal variations in the solar electron neutrino survival probability differing in energy and time dependence and two shape changes to the oscillated solar neutrino energy spectrum. No evidence for such signals is observed, and limits on the size of such effects are established in the framework of the standard model extension, including 38 limits on previously unconstrained operators and improved limits on 16 additional operators. This makes limits on all minimal, Dirac-type Lorentz violating operators in the neutrino sector available for the first time.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127716895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-28DOI: 10.1142/9789813148505_0053
T. Katori, C. Arguelles, J. Salvado
The high-energy astrophysical neutrinos recently discovered by IceCube opened a new way to test Lorentz and CPT violation through the astrophysical neutrino mixing properties. The flavor ratio of astrophysical neutrinos is a very powerful tool to investigate tiny effects caused by Lorentz and CPT violation. There are 3 main findings; (1) current limits on Lorentz and CPT violation in neutrino sector are not tight and they allow for any flavor ratios, (2) however, the observable flavor ratio on the Earth is tied with the flavor ratio at production, this means we can test both the presence of new physics and the astrophysical neutrino production mechanism simultaneously, and (3) the astrophysical neutrino flavor ratio is one of the most stringent tests of Lorentz and CPT violation.
{"title":"Test of Lorentz Violation with Astrophysical Neutrino Flavor at IceCube","authors":"T. Katori, C. Arguelles, J. Salvado","doi":"10.1142/9789813148505_0053","DOIUrl":"https://doi.org/10.1142/9789813148505_0053","url":null,"abstract":"The high-energy astrophysical neutrinos recently discovered by IceCube opened a new way to test Lorentz and CPT violation through the astrophysical neutrino mixing properties. The flavor ratio of astrophysical neutrinos is a very powerful tool to investigate tiny effects caused by Lorentz and CPT violation. There are 3 main findings; (1) current limits on Lorentz and CPT violation in neutrino sector are not tight and they allow for any flavor ratios, (2) however, the observable flavor ratio on the Earth is tied with the flavor ratio at production, this means we can test both the presence of new physics and the astrophysical neutrino production mechanism simultaneously, and (3) the astrophysical neutrino flavor ratio is one of the most stringent tests of Lorentz and CPT violation.","PeriodicalId":104099,"journal":{"name":"CPT and Lorentz Symmetry","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127330834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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