Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.13145 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913273283084288 |
|---|---|
| author | Cacciatori, Sergio L. Epstein, Henri Moschella, Ugo |
| author_facet | Cacciatori, Sergio L. Epstein, Henri Moschella, Ugo |
| contents | We discuss general one and two-loops banana diagrams with arbitrary masses on the de Sitter spacetime by using direct methods of dS quantum field theory in the dimensional regularization approach. In the one-loop case we also compute the effective potential for an $O(N)$ model in $d=4$ dimension as an explicit function of the cosmological constant $Λ$, both exactly and perturbatively up to order $Λ$. For the two-loop case we show that the calculation is made easy thanks to a remarkable Kallen-Lehmann formula that has been in the literature for a while. We discuss the divergent cases at d=3 using a contiguity formula for generalized hypergeometric functions and we extract the dominant term at d=4 proving a general formula to deal with a divergent hypergeometric series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13145 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loops in de Sitter space Cacciatori, Sergio L. Epstein, Henri Moschella, Ugo High Energy Physics - Theory We discuss general one and two-loops banana diagrams with arbitrary masses on the de Sitter spacetime by using direct methods of dS quantum field theory in the dimensional regularization approach. In the one-loop case we also compute the effective potential for an $O(N)$ model in $d=4$ dimension as an explicit function of the cosmological constant $Λ$, both exactly and perturbatively up to order $Λ$. For the two-loop case we show that the calculation is made easy thanks to a remarkable Kallen-Lehmann formula that has been in the literature for a while. We discuss the divergent cases at d=3 using a contiguity formula for generalized hypergeometric functions and we extract the dominant term at d=4 proving a general formula to deal with a divergent hypergeometric series. |
| title | Loops in de Sitter space |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.13145 |