Hamilton-Jacobi formalism to warm inflationary scenario

TL;DR

This paper applies the Hamilton-Jacobi formalism to warm inflation, analyzing different dissipation regimes and functions, and compares the results with Planck data to constrain model parameters.

Contribution

It introduces a Hamilton-Jacobi approach to warm inflation, considering strong and weak dissipative regimes with various dissipation functions, and tests compatibility with observational data.

Findings

Model successfully reproduces scalar perturbation amplitude

Scalar spectral index and its running are consistent with observations

Tensor-to-scalar ratio falls within acceptable limits

Abstract

Hamilton-Jacobi formalism as a powerful method is being utilized to reconsider warm inflationary scenario, where the scalar field as the main component deriving inflation interacts with other field. Separating the context to strong and weak dissipative regimes, the goal is followed for two popular function of dissipation coefficient. Applying slow-rolling approximations, the required perturbation parameters are extracted and by comparison to the latest Planck data, the free parameters are restricted. Possibility of producing an acceptable inflation is studied where the result shows that for all cases the model could successfully suggests amplitude of scalar perturbation, scalar spectral index , its running, and the tensor-to-scalar ratio.