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arXiv · 2308.13398

3-point function of currents for holographic cosmology and monopole non-Gaussianities

Matheus Cravo·Horatiu Nastase
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Abstract

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.

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Matheus Cravo, Horatiu Nastase. 2023-08-25. 3-point function of currents for holographic cosmology and monopole non-Gaussianities. https://arxiv.org/abs/2308.13398

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