Type of Document 
Dissertation 
Author 
Parvizi, Mahmoud

URN 
etd03222019221902 
Title 
Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes 
Degree 
PhD 
Department 
Physics 
Advisory Committee 
Advisor Name 
Title 
Robert J. Scherrer 
Committee Chair 
Andreas A. Berlind 
Committee Member 
Marcelo M. Disconzi 
Committee Member 
Thomas J. Weiler 
Committee Member 
Thomas W. Kephart 
Committee Member 

Keywords 
 Algebraic Quantum Field Theory
 Quantum Field Theory in Curved Spacetime
 Cosmology

Date of Defense 
20190321 
Availability 
unrestricted 
Abstract
A covariant description of quantum matter fields in the early universe underpins models for the origin of species, e.g. baryogenesis and dark matter production. In nearly all cases the relevant cosmological observables are computed in a general approximation, via the standard irreducible representations found in the operator formalism of particle physics, where intricacies related to a renormalized stressenergy tensor in a nonstationary spacetime are ignored. Models of the early universe also include a dense environment of quantum fields where farfromequilibrium interactions manifest expressions for observables with substantive corrections to the leading terms. An alternate treatment of these cosmological observables may be carried out within the framework of algebraic quantum field theory in curved spacetime, where the field theoretic model of quantum matter is compatible with the classical effects of general relativity. Here, we take the first step towards computing such an observable. We employ the algebraic formalism while considering farfromequilibrium interactions in a dense environment under the influence of a classical, yet nonstationary, spacetime to derive an expression for the perturbed energy density as a component of the renormalized stressenergy tensor associated with common proposals for quantum matter production in the early universe.

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