Informal Pizza Seminar

Inflationary spectral indices and potential reconstruction

Loison Hoi

McGill

Some simple formulae for spectral indices are derived from the Hamilton-Jacobi formulation of inflation. They are generalized to multiple-field inflation. A general reconstruction formulation of inflaton potential from primordial scalar spectrum is introduced. Although only the lowest order in slow-roll approximation is considered, it is straightforwardly to incorporate higher order in the formulae for spectral indices and reconstruction formulation.