A more or less well behaved quantum gravity Lagrangean in dimension 4

E. Dhrif
{"title":"A more or less well behaved quantum gravity Lagrangean in dimension 4","authors":"E. Dhrif","doi":"10.12988/astp.2013.13004","DOIUrl":null,"url":null,"abstract":"In this article we try to give a simple Quantum Gravity Lagrangean that behaves quite well. Feynman calculus for unpolarized crosssections, and the diagrams involved, behave good. The action is renormalizable by dimension counting. It implies standard Einstein gravity for a massless graviton. Further investigations have to be done. 1. A More or Less Well Behaved Quantum Gravity Lagrangean in Dimension 4? Note the identity 1 D/ 2 = +R/ = +Rab [Γ,Γ] 4 using the Dirac or Clifford Algebra representation Γ = θ + θ∗a [θ] a ON basis on the tangent space Tp(X) over a point p and [θ ∗a] a raised ON basis on the cotangent space T ∗ p (X) over the same point p, just like in the notation of E. Cartan, who wrote the metric g in terms of the veilbeins eμ = θ a μ as gμν = e a μδabe b ν , δab the Kronecker delta, and We sometimes suppress a minus-sign or a imaginary unit i in the following. 58 E.B. Torbrand Dhrif D/ = Γ(∂μ + ωμ + Aμ) = Γ ∇a Γ = eμΓ . We thus also conclude θ∗D/ θ = θ∗( +R/ )θ = θ∗ θ +R with R the Ricci scalar. Here θ is the graviton or vierbein. Here we have suppressed a term, including a coupling constant, 16πG. Notice that this is the Hilbert-Einstein action SGravity,Einstein = ∫","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Studies in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/astp.2013.13004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

In this article we try to give a simple Quantum Gravity Lagrangean that behaves quite well. Feynman calculus for unpolarized crosssections, and the diagrams involved, behave good. The action is renormalizable by dimension counting. It implies standard Einstein gravity for a massless graviton. Further investigations have to be done. 1. A More or Less Well Behaved Quantum Gravity Lagrangean in Dimension 4? Note the identity 1 D/ 2 = +R/ = +Rab [Γ,Γ] 4 using the Dirac or Clifford Algebra representation Γ = θ + θ∗a [θ] a ON basis on the tangent space Tp(X) over a point p and [θ ∗a] a raised ON basis on the cotangent space T ∗ p (X) over the same point p, just like in the notation of E. Cartan, who wrote the metric g in terms of the veilbeins eμ = θ a μ as gμν = e a μδabe b ν , δab the Kronecker delta, and We sometimes suppress a minus-sign or a imaginary unit i in the following. 58 E.B. Torbrand Dhrif D/ = Γ(∂μ + ωμ + Aμ) = Γ ∇a Γ = eμΓ . We thus also conclude θ∗D/ θ = θ∗( +R/ )θ = θ∗ θ +R with R the Ricci scalar. Here θ is the graviton or vierbein. Here we have suppressed a term, including a coupling constant, 16πG. Notice that this is the Hilbert-Einstein action SGravity,Einstein = ∫
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
一个或多或少表现良好的4维量子引力拉格朗日量
在这篇文章中,我们试图给出一个性能很好的简单量子引力拉格朗日量。非极化截面的费曼微积分,以及相关的图,表现良好。该操作可通过维度计数重新规范化。它暗示了无质量引力子的标准爱因斯坦引力。还需要做进一步的调查。1. 一个或多或少表现良好的4维量子引力拉格朗日量?注意身份1 R / D / 2 = + = + Rab[ΓΓ]4使用狄拉克或克利福德代数表示Γ=θ+θ∗一(θ)的基础上切线空间Tp在点p (X)和[θ∗)的基础上提出余切空间T∗p (X)在同一点p, e .嘉当的符号一样,谁写的度规g的veilbeins e gμμμ=θ为ν= eμ安倍δνb,δab克罗内克符号,我们有时会抑制减号或虚数单位我在下面。58 E.B. Torbrand Dhrif D / =Γ(∂μ+ωμμ+)=Γ∇Γ= eμΓ。因此,我们也得出θ∗D/ θ = θ∗(+R/)θ = θ∗θ +R。这里θ是引力子。这里我们抑制了一个项,包括一个耦合常数,16πG。注意这是希尔伯特-爱因斯坦作用s重力,爱因斯坦=∫
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Existence of time-like geodesics in asymptotically flat spacetimes: a generalized topological criterion Simplifying astronomy via Mach's principle, Einstein's equivalence principle, and the gravity-phase-shift From vacuum to dark energy. Exact anisotropic cosmological solution of Petrov type D for a nonlinear scalar field Anisotropic cosmological exact solutions of Petrov type D of a mixture of dark energy and an attractive Bose-Einstein condensate Evaluation of cross section of elastic scattering for non-relativistic and relativistic particles by means of fundamental scattering formulas
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1