Local conformal symmetry in non-Riemannian geometry and the origin of physical scales
Local conformal symmetry in non-Riemannian geometry and the origin of physical scales
复制标题
非黎曼几何中的局部共形对称性和物理尺度的起源
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
M. Sakellariadou
中科院分区：
文献类型：
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作者：
M. de Cesare;J. Moffat;M. Sakellariadou
我们介绍了建立在局部共形不变性原理基础上的标准模型和广义相对论的扩展，它代表了Bars， Steinhardt和Turok先前工作的推广。通过采用Weyl首先研究的一类特殊的非黎曼几何作为几何框架，自然可以实现这一点。引力扇区被一个标量场和一个矢量场所充实。后者具有几何起源，代表了我们方法的新颖特征。我们认为物理尺度可以从一个没有维度参数的理论中产生，作为共形和电弱对称性的自发击穿的结果。我们在这个修正的引力理论中研究了物质场的动力学，并证明了测试粒子遵循列维-奇维塔连接的测地线，从而解决了爱因斯坦对Weyl最初提议提出的旧批评。
We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by adopting as a geometric framework a particular class of non-Riemannian geometries, first studied by Weyl. The gravitational sector is enriched by a scalar and a vector field. The latter has a geometric origin and represents the novel feature of our approach. We argue that physical scales could emerge from a theory with no dimensionful parameters, as a result of the spontaneous breakdown of conformal and electroweak symmetries. We study the dynamics of matter fields in this modified gravity theory and show that test particles follow geodesics of the Levi-Civita connection, thus resolving an old criticism raised by Einstein against Weyl’s original proposal.
广义尺度不变理论
影响因子：
5
作者：
Padilla A
通讯作者：
Padilla A
影响因子：
4.4
作者：
Meissner, Krzysztof A.;Nicolai, Hermann
通讯作者：
Nicolai, Hermann