Constraining Inflation

Understand

Slow roll reconstruction is derived from the Hamilton-Jacobi formulation of inflationary dynamics.

• It automatically includes information from sub-leading terms in slow roll, and facilitatesthe inclusion of priors based on the duration on inflation.
• We show that at low inflationary scales the Hamilton-Jacobi equations simplify considerably.
• We provide a new classification scheme for inflationary models, based solely on the number of parameters needed to specify the potential, and provide forecasts for likely bounds on the slow roll parameters from future datasets.