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Geometric Phase of Linear Cosmological Perturbations in Two-Field Inflation

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Abstract

As a footprint of primordial perturbations in cosmological observations, the Berry phase of cosmological perturbations can serve to probe the cosmological inflation. Considering linear perturbations in two-field slow-roll inflation, we derive the Hamiltonians of the scalar and tensor Fourier modes in the form of time-dependent harmonic oscillator Hamiltonians. We find the invariant operators of the resulting Hamiltonians and use these invariants to calculate the Berry phase for sub-horizon scalar and tensor modes in the adiabatic limit.

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Authors and Affiliations

  1. Physics Department, Amirkabir University of Technology, Tehran, 15914, Iran

    Hamideh Balajany & Mohammad Mehrafarin

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  1. Hamideh Balajany
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  2. Mohammad Mehrafarin
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Correspondence to Mohammad Mehrafarin.

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Balajany, H., Mehrafarin, M. Geometric Phase of Linear Cosmological Perturbations in Two-Field Inflation. Gravit. Cosmol. 25, 184–189 (2019). https://doi.org/10.1134/S0202289319020038

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  • DOI: https://doi.org/10.1134/S0202289319020038

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