Now showing items 1-7 of 7

    • Amplitudes in the Spin Foam Approach to Quantum Gravity 

      Chen, Linqing (University of Waterloo, 2017-07-31)
      In this thesis, we study a Spin Foam model for 4D Riemannian quantum gravity, and propose a new way of imposing the simplicity constraints that uses the recently developed holomorphic representation. Rather than imposing ...
    • Canonical Structure and Conservation Laws of General Relativity on Null Surfaces and at Null Infinity 

      Hopfmueller, Florian (University of Waterloo, 2021-01-12)
      The first part of this thesis addresses the canonical structure of general relativity on generic null surfaces. The pre-symplectic potential of metric general relativity, evaluated on a null surface, is decomposed into ...
    • An Exploration of Locality, Conservation Laws, and Spin 

      Rempel, Trevor (University of Waterloo, 2017-01-23)
      Conservation rules are central to our understanding of the physical world, they place re- strictions on how particles can move and dictate what can occur during an interaction. However, it is often taken for granted how a ...
    • Gauge Models of Topological Phases and Applications to Quantum Gravity 

      Delcamp, Clement Martin Lucas Hugo (University of Waterloo, 2018-06-26)
      In 2+1 dimensions, gravity is an SU(2) topological gauge theory that can be written as BF theory. In the condensed matter literature, the Hamiltonian realization of BF theory for finite groups is known as the Kitaev model. ...
    • Generalized holographic dualities for metric gravity & Quantum geometry based on area variables 

      Kurankyi Asante, Seth (University of Waterloo, 2020-09-18)
      Holography holds promise for simplifying computations in quantum gravity. In part I of this thesis, we construct holographic boundary theories for linearized gravity, for a general family of finite or quasi-local boundaries, ...
    • Quantum Gravity Renormalization Group 

      Shyam, Vasudev (University of Waterloo, 2020-07-27)
      Investigations relating the emergence of the radial direction in the holography, solvable irrelevant deformations of conformal eld theories and holographic entanglement entropy are reported. Emphasis is laid on how ...
    • Towards vertex renormalization in 4d Spin Foams 

      Banburski, Andrzej (University of Waterloo, 2017-07-24)
      A long-standing open problem in 4-dimensional Spin Foam models of Quantum Gravity has been the behavior of the amplitudes under coarse graining. In this thesis, we attempt to study this question by using the recent ...

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