Nocommutative structures in quantum field theory
| Thesis title in Czech: | Nekomutativní struktury v kvantové teorii pole |
|---|---|
| Thesis title in English: | Nocommutative structures in quantum field theory |
| Key words: | Nekomutativní (neasociativní) algebry a geometrie, kvantování a teorie deformací |
| English key words: | Noncommutative nonassociative) algebras and geometry, quantization and deformation theory |
| Academic year of topic announcement: | 2015/2016 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. Ing. Branislav Jurčo, CSc., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.10.2016 |
| Date of assignment: | 03.10.2016 |
| Confirmed by Study dept. on: | 30.10.2016 |
| Date and time of defence: | 22.10.2020 14:00 |
| Date of electronic submission: | 09.09.2020 |
| Date of submission of printed version: | 09.09.2020 |
| Date of proceeded defence: | 22.10.2020 |
| Opponents: | Ivo Sachs |
| Roman Golovko, Ph.D. | |
| Guidelines |
| Noncommutative geometry (NCG) is at the heart of quantum physics, and its many facets and developments have widely influenced both physics and mathematics. In particular, NCG is related to a quantum theory of gravity and a possibly unified perspective on the fundamental forces of Nature. The PhD thesis will focus on different approaches to (perturbative) Quantum Field Theory on Quantum Spacetime, and some of the possible applications. |
| References |
| A. Connes, M. Marcoli, Nocommutative geometry, quantum fields and motives, http://www.alainconnes.org/docs/bookwebfinal.pdf
R. Szabo, Quantum Field theory on noncommutative spaces, http://arxiv.org/abs/hep-th/0109162 M. Khalkhali, M. Marcoli, An Invitation to Noncommutative geometry, World Scientific, 2008 M. Douglas, N. Nekrasov, Noncommutative Field Theory, Rev. Mod. Phys. 73 (2001), 977–1029; hep-th/0106048 Dorothea Bahns, Sergio Doplicher, Gerardo Morsella, Gherardo Piacitelli, Quantum Spacetime and Algebraic Quantum Field Theory Nathan Seiberg, Edward Witten, String Theory and Noncommutative Geometry JHEP 9909:032,1999 Maxim Kontsevich, Operads and Motives in Deformation Quantization, Lett.Math.Phys.48:35-72,1999 |