Symetrická redukce Lagrangiánů s elektromagnetickým polem
| Thesis title in Czech: | Symetrická redukce Lagrangiánů s elektromagnetickým polem |
|---|---|
| Thesis title in English: | Symmetry reduction of Lagrangians with electromagnetic field |
| Academic year of topic announcement: | 2024/2025 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | |
| Department: | Institute of Theoretical Physics (32-UTF) |
| Supervisor: | Mgr. Ivan Kolář, Ph.D. |
| Author: |
| Guidelines |
| The student should become familiar with the symmetry reduction of Lagrangians and its justification by the principle of symmetric criticality [1-3] (and references therein). If satisfied, the principle of symmetric criticality guarantees that the field equations of the symmetry-reduced Lagrangians are equivalent to the symmetry-reduced field equations for all theories (with a given dynamical field). The main objective is to formulate the problem explicitly for the case of the electromagnetic field in a fixed background spacetime and demonstrate its validity on some PSC-satisfying/violating examples within the Maxwell theory and the nonlinear electrodynamics (e.g., [4] and references therein). |
| References |
| [1] G. Frausto, I. Kolar, T. Malek, C. Torre, Symmetry reduction of gravitational Lagrangians, arXiv: 2410.11036.
[2] M. E. Fels and C. G. Torre, The Principle of symmetric criticality in general relativity, Class. Quant. Grav. 19, 641 (2002), arXiv:gr-qc/0108033. [3] C. G. Torre, Symmetric Criticality in Classical Field Theory, AIP Conf. Proc. 1360, 63–74 (2011), arXiv:1011.3429. [4] T. G. Hale, Nonlinear Electrodynamics. Bakalářská práce, vedoucí T. Tahamtan. Praha: Univerzita Karlova, Matematicko-fyzikální fakulta, Ústav teoretické fyziky, 2023. |