Hamiltonian renormalisation IX. U(1)**3 quantum gravity
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912478029414400 |
|---|---|
| author | Zarate, M. Rodriguez Thiemann, T. |
| author_facet | Zarate, M. Rodriguez Thiemann, T. |
| contents | In previous works in this series we focussed on Hamiltonian renormalisation of free field theories in all spacetime dimensions or interacting theories in spacetime dimensions lower than four. In this paper we address the Hamiltonian renormalisation of the U(1)**3 model for Euclidian general relativity in four spacetime dimensions which is self-interacting.
The Hamiltonian flow needs as an input a choice of *-algebra and corresponding representation thereof or state on it at each resolution scale. If one uses as input the algebras and states that were used in the recent exact solutions of this model, then one finds that the flow finds as fixed point those exact solution theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian renormalisation IX. U(1)**3 quantum gravity Zarate, M. Rodriguez Thiemann, T. General Relativity and Quantum Cosmology High Energy Physics - Theory In previous works in this series we focussed on Hamiltonian renormalisation of free field theories in all spacetime dimensions or interacting theories in spacetime dimensions lower than four. In this paper we address the Hamiltonian renormalisation of the U(1)**3 model for Euclidian general relativity in four spacetime dimensions which is self-interacting. The Hamiltonian flow needs as an input a choice of *-algebra and corresponding representation thereof or state on it at each resolution scale. If one uses as input the algebras and states that were used in the recent exact solutions of this model, then one finds that the flow finds as fixed point those exact solution theories. |
| title | Hamiltonian renormalisation IX. U(1)**3 quantum gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.13037 |