A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915372944326656 |
|---|---|
| author | Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. |
| author_facet | Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. |
| contents | We numerically investigate the Araki-Uhlmann relative entropy in Quantum Field Theory, focusing on a free massive scalar field in 1+1-dimensional Minkowski spacetime. Using Tomita-Takesaki modular theory, we analyze the relative entropy between a coherent state and the vacuum state, with several types of test functions localized in the right Rindler wedge. Our results confirm that relative entropy decreases with increasing mass and grows with the size of the spacetime region, aligning with theoretical expectations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. High Energy Physics - Theory Mathematical Physics We numerically investigate the Araki-Uhlmann relative entropy in Quantum Field Theory, focusing on a free massive scalar field in 1+1-dimensional Minkowski spacetime. Using Tomita-Takesaki modular theory, we analyze the relative entropy between a coherent state and the vacuum state, with several types of test functions localized in the right Rindler wedge. Our results confirm that relative entropy decreases with increasing mass and grows with the size of the spacetime region, aligning with theoretical expectations. |
| title | A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2502.09796 |