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Title page for ETD etd-12042008-091501


Type of Document Dissertation
Author Das, Rupam
Author's Email Address rupam.das@vanderbilt.edu, rupam1989@gmail.com
URN etd-12042008-091501
Title Fermions and Bosons in Loop Quantum Gravity and Its Cosmological Implications
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Robert Scherrer Committee Chair
John Ratcliffe Committee Member
Martin Bojowald Committee Member
Tom Kephart Committee Member
Will Johns Committee Member
Keywords
  • Fermions
  • Bosons
  • gravity
Date of Defense 2008-12-03
Availability unrestricted
Abstract
Canonical gravity in real Ashtekar--Barbero variables is generalized

by extending Holst's original vacuum analysis to allow for both fermionic and bosonic matter. For fermions, the effects of emerging torsion on parity and the known

canonical (loop) quantization of gravity

are discussed on the basis of the classical analysis by eliciting the necessity for adaptations. Then the role of these matter fields in homogeneous models of loop quantum cosmology is explored by discussing their influence on the behavior of the Wheeler-deWitt equation for the wave function of the universe. Next, quantum gravity corrections to equation of state parameters for Maxwell and Dirac fields arising from the discrete geometry of loop quantization are computed to investigate its effect on Big Bang Nucleosynthesis (BBN) to place bounds on these corrections and especially the patch size of discrete quantum gravity states. Finally, an example of the effects of these corrected equation of state on the evolution of dark energy, in particular $k$-essence and quintessence, is presented.

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