Renormalization and Coarse-graining of Loop Quantum Gravity

Preprint English OPEN
Charles, Christoph;
(2017)
  • Subject: General Relativity and Quantum Cosmology

The continuum limit of loop quantum gravity is still an open problem. Indeed, no proper dynamics in known to start with and we still lack the mathematical tools to study its would-be continuum limit. In the present PhD dissertation, we will investigate some coarse-grain... View more
  • References (148)
    148 references, page 1 of 15

    [1] Christoph Charles and Etera R. Livine. “Ashtekar-Barbero holonomy on the hyperboloid: Immirzi parameter as a cutoff for quantum gravity.” In: Phys. Rev. D92.12 (2015), p. 124031. doi: 10.1103/PhysRevD.92.124031. arXiv: 1507.00851 [gr-qc].

    [2] Christoph Charles and Etera R. Livine. “Closure constraints for hyperbolic tetrahedra.” In: Class. Quant. Grav. 32.13 (2015), p. 135003. doi: 10 . 1088 / 0264 - 9381 / 32 / 13 / 135003. arXiv: 1501.00855 [gr-qc].

    [3] Christoph Charles and Etera R. Livine. “The closure constraint for the hyperbolic tetrahedron as a Bianchi identity.” In: (2016). arXiv: 1607.08359 [gr-qc].

    [4] Christoph Charles and Etera R. Livine. “The Fock Space of Loopy Spin Networks for Quantum Gravity.” In: Gen. Rel. Grav. 48.8 (2016), p. 113. doi: 10.1007/s10714- 016- 2107- 5. arXiv: 1603.01117 [gr-qc].

    [69] Christoph Charles and Etera R. Livine. “Ashtekar-Barbero holonomy on the hyperboloid: Immirzi parameter as a cutoff for quantum gravity.” In: Phys. Rev. D92.12 (2015), p. 124031. doi: 10.1103/PhysRevD.92.124031. arXiv: 1507.00851 [gr-qc].

    [70] Christoph Charles and Etera R. Livine. “Closure constraints for hyperbolic tetrahedra.” In: Class. Quant. Grav. 32.13 (2015), p. 135003. doi: 10 . 1088 / 0264 - 9381 / 32 / 13 / 135003. arXiv: 1501.00855 [gr-qc].

    [71] Christoph Charles and Etera R. Livine. “The closure constraint for the hyperbolic tetrahedron as a Bianchi identity.” In: (2016). arXiv: 1607.08359 [gr-qc].

    [72] Christoph Charles and Etera R. Livine. “The Fock Space of Loopy Spin Networks for Quantum Gravity.” In: Gen. Rel. Grav. 48.8 (2016), p. 113. doi: 10.1007/s10714-016- 2107-5. arXiv: 1603.01117 [gr-qc].

    [73] Serguei Chatrchyan et al. “Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC.” In: Phys. Lett. B716 (2012), pp. 30-61. doi: 10.1016/j.physletb. 2012.08.021. arXiv: 1207.7235 [hep-ex].

    [74] Joy Christian. “An Exactly soluble sector of quantum gravity.” In: Phys. Rev. D56 (1997), pp. 4844-4877. doi: 10.1103/ PhysRevD.56.4844. arXiv: gr-qc/9701013 [gr-qc].

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