Limits on the Reconstruction of a Single Dark Energy Scalar Field Potential from SNe Ia Data

TL;DR

This paper investigates the feasibility of reconstructing the potential of a dark energy scalar field from supernova data, highlighting current limitations and challenges in the process.

Contribution

It introduces a method for reconstructing scalar field potentials from SNe Ia data and evaluates its effectiveness with real datasets, revealing current data constraints.

Findings

Full reconstruction is not feasible with current data precision.

Identifies key problems in the reconstruction process.

Discusses potential solutions to improve reconstruction accuracy.

Abstract

In this paper we perform a reconstruction of the scalar field potential responsible for cosmic acceleration using SNe Ia data. After describing the method, we test it with real SNe Ia data-Union2.1 and JLA SNe datasets. We demonstrate that with the current data precision level, the full reconstruction is not possible. We discuss the problems which arise during the reconstruction process and the ways to overcome them.