Generalized gauge theories with nonunitary parallel transport: * General relativity with cosmological constant as an example
详细信息 查看全文
- 作者：G. Mack and T. Prüstel
- 刊名：The European Physical Journal C - Particles and Fields
- 出版年：2006
- 出版时间：April 2006
- 年：2006
- 卷：46
- 期：1
- 页码：255-267
- 全文大小：269 KB
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Elementary Particles and Quantum Field Theory
Nuclear Physics, Heavy Ions and Hadrons
Physics beyond the Standard Model
Measurement Science and Instrumentation
Astronomy, Astrophysics and Cosmology - 出版者：Springer Berlin / Heidelberg
- ISSN：1434-6052
文摘
In gauge theories parallel transporters (PTs) U(C)\mathcal{U}(C) along paths C play an important role. Traditionally they are unitary or pseudoorthogonal maps between vector spaces. We propose to abandon unitarity of parallel transporters and with it the a priori assumption of metricity in general relativity. A *-operation on parallel transporters serves as a substitute for it, and this *-operation is proven to be unique on group theoretical grounds. The vierbein and the spin connection appear as distinguishable parts of a single de Sitter gauge field with field strength F. The action takes the form \frac316pGLò\texttr(FùFig5)\frac{3}{16\pi G\Lambda}\int\text{tr}(\boldsymbol{F}\wedge\boldsymbol{F}i\boldsymbol{\gamma}_{5}) and both the Einstein field equations with arbitrarily small but nonvanishing cosmological constant Λ and the condition of vanishing torsion are obtained from it. The equation of motion for classical massive bodies turns out to be de Sitter covariant.