Single Inflation Model with Radiated Corrections

Keefner, Jacob; Adhyatman, Alexander

Single Inflation Model with Radiated Corrections

Files

single_inflation_StonyB.pdf (400.24 KB)

Authors

Keefner, Jacob

Adhyatman, Alexander

Issue Date

2016

Type

Learning Object
Presentation

Language

en_US

Keywords

Differential equations , Inflationary universe , Cosmology , Cosmological constants

Abstract

This work was intended to study the effect of adding radiative corrections to the φ^2 and φ^4 models of inflation. These corrections were a result of the interaction of the scalar field with other particles. A computer algebra system called Maxima was used to write code that could perform Multivariable Newton's Method, which was needed to gain values to produce an r vs n_s plot. The two parameters that were focused on were epsilon and eta, which are both a function of the scalar field: φ. These parameters were used in order to define the functions of r and ns. Looking at 0.94≤n_s≤0.96 (based off of the n_s≈0.96 measurement from WMAP) we could see how large our r value could be. The model with radiated corrections and decoupling was found to be plausible due to principles in Quantum Field Theory.