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Schrödinger field theory in curved spacetime: In-In formalism and three-point function for inflationary background (1610.05038v1)
Published 17 Oct 2016 in hep-th, astro-ph.CO, gr-qc, and quant-ph
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.