Modular Hamiltonian for fermions of small mass
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916523903287296 |
|---|---|
| author | Cadamuro, Daniela Fröb, Markus B. Minz, Christoph |
| author_facet | Cadamuro, Daniela Fröb, Markus B. Minz, Christoph |
| contents | We consider the algebra of massive fermions restricted to a diamond in two-dimensional Minkowski spacetime, and in the Minkowski vacuum state. While the massless modular Hamiltonian is known for this setting, the derivation of the massive one is an open problem. We compute the small-mass corrections to the modular Hamiltonian in a perturbative approach, finding some terms which were previously overlooked. Our approach can in principle be extended to all orders in the mass, even though it becomes computationally challenging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04629 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Modular Hamiltonian for fermions of small mass Cadamuro, Daniela Fröb, Markus B. Minz, Christoph High Energy Physics - Theory Mathematical Physics We consider the algebra of massive fermions restricted to a diamond in two-dimensional Minkowski spacetime, and in the Minkowski vacuum state. While the massless modular Hamiltonian is known for this setting, the derivation of the massive one is an open problem. We compute the small-mass corrections to the modular Hamiltonian in a perturbative approach, finding some terms which were previously overlooked. Our approach can in principle be extended to all orders in the mass, even though it becomes computationally challenging. |
| title | Modular Hamiltonian for fermions of small mass |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2312.04629 |