F. T. Brandt, J. Frenkel, S. Martins-Filho, D. G. C. McKeon
{"title":"Renormalization of the Einstein-Cartan Theory in First-Order Form","authors":"F. T. Brandt, J. Frenkel, S. Martins-Filho, D. G. C. McKeon","doi":"arxiv-2409.10493","DOIUrl":null,"url":null,"abstract":"We examine the Einstein-Cartan (EC) theory in first-order form, which has a\ndiffeomorphism as well as a local Lorentz invariance. We study the\nrenormalizability of this theory in the framework of the Batalin-Vilkovisky\nformalism, which allows for a gauge invariant renormalization. Using the\nbackground field method, we discuss the gauge invariance of the background\neffective action and analyze the Ward identities which reflect the symmetries\nof the EC theory. As an application, we compute, in a general background gauge,\nthe self-energy of the tetrad field at one-loop order.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"38 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - High Energy Physics - Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10493","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We examine the Einstein-Cartan (EC) theory in first-order form, which has a
diffeomorphism as well as a local Lorentz invariance. We study the
renormalizability of this theory in the framework of the Batalin-Vilkovisky
formalism, which allows for a gauge invariant renormalization. Using the
background field method, we discuss the gauge invariance of the background
effective action and analyze the Ward identities which reflect the symmetries
of the EC theory. As an application, we compute, in a general background gauge,
the self-energy of the tetrad field at one-loop order.
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