تقرير
Three-dimensional gravity and deformations of relativistic symmetries
| العنوان: | Three-dimensional gravity and deformations of relativistic symmetries |
|---|---|
| المؤلفون: | Trzesniewski, T. |
| سنة النشر: | 2015 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| الوصف: | It is possible that relativistic symmetries become deformed in the semiclassical regime of quantum gravity. Mathematically, such deformations lead to the noncommutativity of spacetime geometry and non-vanishing curvature of momentum space. The best studied example is given by the $\kappa$-Poincar\'e Hopf algebra, associated with $\kappa$-Minkowski space. On the other hand, the curved momentum space is a well-known feature of particles coupled to three-dimensional gravity. The purpose of this thesis was to explore some properties and mutual relations of the above two models. In particular, I study extensively the spectral dimension of $\kappa$-Minkowski space. I also present an alternative limit of the Chern-Simons theory describing three-dimensional gravity with particles. Then I discuss the spaces of momenta corresponding to conical defects in higher dimensional spacetimes. Finally, I consider the Fock space construction for the quantum theory of particles in three-dimensional gravity. Comment: 78 pages, 6 figures. A thesis for the PhD degree in Physics |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1511.00674 |
| رقم الأكسشن: | edsarx.1511.00674 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |