Abstract
In this paper, we analyze the inflationary cosmology using string field theory. This is done by using the zero level contribution from string field theory, which is a non-local tachyonic action. We will use the non-local Friedmann equations for this model based on string field theory, and calculate the slow-roll parameters for this model. We will then explicitly obtain the scalar and tensorial power spectrum, their related indices, and the tensor-to-scalar ratio for this model. Finally, we use cosmological data from Planck 2013 to 2018 to constrain the free parameters in this model, and find that string field theory is compatible with them.
Highlights
It is possible to study second quantization of string theory, and this quantum field theory of strings is known as string field theory
In this paper, we have used string field theory and analyse the possibility of explaining inflation within this model. This theory is based on a non-local tachyonic action
It is possible to write exact cosmological equations for the Hubble parameter and the potential. We use these for performing scalar cosmological perturbations with the aim of finding out the standard inflationary parameters
Summary
It is possible to study second quantization of string theory, and this quantum field theory of strings is known as string field theory. We would like to emphasize that such non-local cosmological solution have already been constructed using string field theory [22, 23], and in this paper, we will only use these cosmological models to analyze inflation in string field theory. In this paper, we will study inflationary cosmology from the non-local tachyonic action produced in string field theory. These component fields can be redefined to obtained actions, with the usual interaction terms and non-local kinetic terms [90, 91] Inflation in such theories, with infinite derivatives has been studied [92, 93]. As it is possible to obtain a non-local tachyonic action from string field theory, and non-local inflationary cosmology can produce important results, we will study inflation using the non-local tachyonic action obtained from string field theory.
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