Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913468221751296 |
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| author | Finster, Felix |
| author_facet | Finster, Felix |
| contents | The linearized field equations for causal fermion systems in Minkowski space are analyzed systematically using methods of functional analysis and Fourier analysis. Taking into account a direction-dependent local phase freedom, we find a multitude of homogeneous solutions. The time evolution of the inhomogeneous equations is studied. It leads to the dynamical creation of retarded solutions as well as to the generation of non-propagating perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00965 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space Finster, Felix Mathematical Physics Analysis of PDEs The linearized field equations for causal fermion systems in Minkowski space are analyzed systematically using methods of functional analysis and Fourier analysis. Taking into account a direction-dependent local phase freedom, we find a multitude of homogeneous solutions. The time evolution of the inhomogeneous equations is studied. It leads to the dynamical creation of retarded solutions as well as to the generation of non-propagating perturbations. |
| title | Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2304.00965 |