3-point function of currents for holographic cosmology and monopole non-Gaussianities
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| Format: | Preprint |
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2023
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| _version_ | 1866909156404887552 |
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| author | Cravo, Matheus Nastase, Horatiu |
| author_facet | Cravo, Matheus Nastase, Horatiu |
| contents | In this paper we present the calculation of the three-point function in momentum space of currents for a $SO(3)$ global symmetry, in a three-dimensional toy model within phenomenological holographic cosmology. Since the two-point function gives, via electric-magnetic duality, the resolution of the cosmological monopole problem, the three-point function is related to the monopole non-Gaussianities. We check that the final result is UV and IR finite and satisfies the transverse Ward identities and consider the $k_1\ll k_2,k_3$ case, relevant for cosmology. We also show that the two-loop result for the 3-point function is completely independent of the explicit form of the potential, meaning that, like the solution to the monopole problem, also the non-Gaussianities are universal within the phenomenological holographic cosmology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_13398 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | 3-point function of currents for holographic cosmology and monopole non-Gaussianities Cravo, Matheus Nastase, Horatiu High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper we present the calculation of the three-point function in momentum space of currents for a $SO(3)$ global symmetry, in a three-dimensional toy model within phenomenological holographic cosmology. Since the two-point function gives, via electric-magnetic duality, the resolution of the cosmological monopole problem, the three-point function is related to the monopole non-Gaussianities. We check that the final result is UV and IR finite and satisfies the transverse Ward identities and consider the $k_1\ll k_2,k_3$ case, relevant for cosmology. We also show that the two-loop result for the 3-point function is completely independent of the explicit form of the potential, meaning that, like the solution to the monopole problem, also the non-Gaussianities are universal within the phenomenological holographic cosmology. |
| title | 3-point function of currents for holographic cosmology and monopole non-Gaussianities |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.13398 |