Equivalence between the Lovelock–Cartan action and a constrained gauge theory
| Autor: | T. R. S. Santos, A. A. Tomaz, O. C. Junqueira, G. Sadovski, R. F. Sobreiro, Antonio D. Pereira |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Physics and Astronomy (miscellaneous) Gauge Theory FOS: Physical sciences Spin Connection Topological Term lcsh:Astrophysics General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology High Energy Physics::Theory Ward Identity lcsh:QB460-466 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Gauge theory Engineering (miscellaneous) Equivalence (measure theory) Quantum Mass parameter Mathematical physics Physics Cartan formalism BRST quantization Massless particle High Energy Physics - Theory (hep-th) Homogeneous space Quantum Version lcsh:QC770-798 |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 77, Iss 4, Pp 1-10 (2017) European Physical Journal C |
| ISSN: | 1434-6052 1434-6044 |
| Popis: | We show that the four-dimensional Lovelock-Cartan action can be derived from a massless gauge theory for the $SO(1,3)$ group with an additional BRST trivial part. The model is originally composed by a topological sector and a BRST exact piece and has no explicit dependence on the metric, the vierbein or a mass parameter. The vierbein is introduced together with a mass parameter through some BRST trivial constraints. The effect of the constraints is to identify the vierbein with some of the additional fields, transforming the original action into the Lovelock-Cartan one. In this scenario, the mass parameter is identified with Newton's constant while the gauge field is identified with the spin-connection. The symmetries of the model are also explored. Moreover, the extension of the model to a quantum version is qualitatively discussed. Comment: 17 pages. No figures. Final version accepted for publication at the EPJC |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink