Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Ansari, Arhum Banerjee, Pinak Dhivakar, Prateksh Jain, Sachin Kundu, Nilay |
| author_facet | Ansari, Arhum Banerjee, Pinak Dhivakar, Prateksh Jain, Sachin Kundu, Nilay |
| contents | We study the conformal invariance of inflationary non-Gaussianities associated with scalar fluctuations in a non-Bunch-Davies initial state, known as the $α$-vacuum, in single-field slow-roll inflation. The $α$-vacuum is a one-parameter family of states, including the Bunch-Davies one, that preserves the conformal symmetry of inflationary dynamics in a nearly de-Sitter space-time. Working within the leading slow-roll approximation, we compute the four-point scalar correlator (the trispectrum) in $α$-vacuum using the in-in formalism. We check that the conformal Ward identities are met between the three and four-point scalar $α$-vacua correlators. Surprisingly, this contrasts the previously reported negative result of the Ward identities being violated between the two and the three-point correlators. We have also extended the wave-functional method, previously used for correlators with Bunch-Davies initial condition, to compute the three and four-point scalar correlators in $α$-vacua. The results obtained from the wave-function method match the corresponding in-in results, adding further justification to our check of Ward identities with $α$-vacua correlators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10513 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries Ansari, Arhum Banerjee, Pinak Dhivakar, Prateksh Jain, Sachin Kundu, Nilay High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology We study the conformal invariance of inflationary non-Gaussianities associated with scalar fluctuations in a non-Bunch-Davies initial state, known as the $α$-vacuum, in single-field slow-roll inflation. The $α$-vacuum is a one-parameter family of states, including the Bunch-Davies one, that preserves the conformal symmetry of inflationary dynamics in a nearly de-Sitter space-time. Working within the leading slow-roll approximation, we compute the four-point scalar correlator (the trispectrum) in $α$-vacuum using the in-in formalism. We check that the conformal Ward identities are met between the three and four-point scalar $α$-vacua correlators. Surprisingly, this contrasts the previously reported negative result of the Ward identities being violated between the two and the three-point correlators. We have also extended the wave-functional method, previously used for correlators with Bunch-Davies initial condition, to compute the three and four-point scalar correlators in $α$-vacua. The results obtained from the wave-function method match the corresponding in-in results, adding further justification to our check of Ward identities with $α$-vacua correlators. |
| title | Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.10513 |