IR-fixed Euclidean vacuum for linearized gravity on de Sitter space
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917339272839168 |
|---|---|
| author | Gérard, Christian Wrochna, Michał |
| author_facet | Gérard, Christian Wrochna, Michał |
| contents | We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calderón projectors to recover a quantum state for the Lorentzian theory on de Sitter space. We show that while the state is gauge invariant and Hadamard, it is not positive on the whole of the phase space. We show however that a suitable modification at low energies yields a well-defined Hadamard state on global de Sitter space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | IR-fixed Euclidean vacuum for linearized gravity on de Sitter space Gérard, Christian Wrochna, Michał Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calderón projectors to recover a quantum state for the Lorentzian theory on de Sitter space. We show that while the state is gauge invariant and Hadamard, it is not positive on the whole of the phase space. We show however that a suitable modification at low energies yields a well-defined Hadamard state on global de Sitter space. |
| title | IR-fixed Euclidean vacuum for linearized gravity on de Sitter space |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.00866 |