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arXiv · 1610.05038

Schr\"odinger field theory in curved spacetime: In-In formalism and three-point function for inflationary background

Abasalt Rostami·Javad T. Firouzjaee
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Abstract

We review the Schr\"odinger picture of field theory in curved spacetime and using this formalism, the power spectrum of massive non-interacting, minimally coupled scalars in a fixed de Sitter background is obtained. To calculate the N-point function in Schr\"odinger field theory, the "in-in" formalism is extended in the Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe. We compute the three-point function for primordial scalar field fluctuation in the single field inflation by this in-in formalism. The results are the same as the three-point function in the Heisenberg picture.

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Abasalt Rostami, Javad T. Firouzjaee. 2016-10-17. Schr\"odinger field theory in curved spacetime: In-In formalism and three-point function for inflationary background. https://doi.org/10.1142/s0218271818500979

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