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Title page for ETD etd-03222019-221902

Type of Document Dissertation
Author Parvizi, Mahmoud
URN etd-03222019-221902
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
  • Algebraic Quantum Field Theory
  • Quantum Field Theory in Curved Spacetime
  • Cosmology
Date of Defense 2019-03-21
Availability unrestricted
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 stress-energy tensor in a non-stationary spacetime are ignored. Models of the early universe also include a dense environment of quantum fields where far-from-equilibrium 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 far-from-equilibrium interactions in a dense environment under the influence of a classical, yet non-stationary, spacetime to derive an expression for the perturbed energy density as a component of the renormalized stress-energy tensor associated with common proposals for quantum matter production in the early universe.
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