Alberto Escalante, Jesús Aldair Pantoja-González, Victor Julian Pérez-Aquino
{"title":"Canonical analysis of linearized λR gravity plus a Chern–Simons term","authors":"Alberto Escalante, Jesús Aldair Pantoja-González, Victor Julian Pérez-Aquino","doi":"10.1016/j.aop.2024.169809","DOIUrl":null,"url":null,"abstract":"<div><div>The Hamiltonian analysis for the linearized <span><math><mrow><mi>λ</mi><mi>R</mi></mrow></math></span> gravity plus a Chern–Simons term is performed. The first-class and second-class constraints for arbitrary values of <span><math><mi>λ</mi></math></span> are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of <span><math><mi>λ</mi></math></span> is remarked.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169809"},"PeriodicalIF":3.0000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624002161","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
The Hamiltonian analysis for the linearized gravity plus a Chern–Simons term is performed. The first-class and second-class constraints for arbitrary values of are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of is remarked.
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