Ashtekar on Recent Advances in LQG

In order to assist navigation through Ashtekar’s recent advances in LQG (see his paper, Loop Quantum Gravity: Four Recent Advances and a Dozen Frequently Asked Questions), I have built the following list with links to papers on each research line mentioned by him.

Mathematical foundations
http://arxiv.org/abs/math-ph/0407006
http://arxiv.org/abs/gr-qc/0504147

Planck scale physics near the big bang singularity in FRW cosmologies
http://arxiv.org/abs/gr-qc/0505032

http://arxiv.org/abs/gr-qc/0602086
http://arxiv.org/abs/gr-qc/0604013
http://arxiv.org/abs/gr-qc/0607039
http://arxiv.org/abs/gr-qc/0612104
http://arxiv.org/abs/gr-qc/0612101

Effective matter theories obtained by integrating out gravitational
degrees of freedom

http://arxiv.org/abs/hep-th/0502106
http://arxiv.org/abs/hep-th/0512113

Recovery of the graviton propagator starting from a non-pertubative, background independent theory
http://arxiv.org/abs/gr-qc/0604044
http://arxiv.org/abs/gr-qc/0508124
http://arxiv.org/abs/gr-qc/0608131

Mathematical extensions of gauge theories using quantum groups

A. Okolow, Representations of Quantum Geometry, PhD Thesis, University of Warsaw (2005)

The Master Constraint program
http://arxiv.org/abs/gr-qc/0305080
http://arxiv.org/abs/gr-qc/0411138
http://arxiv.org/abs/gr-qc/0411139
http://arxiv.org/abs/gr-qc/0411140
http://arxiv.org/abs/gr-qc/0411141

Algebraic quantum gravity
http://arxiv.org/abs/gr-qc/0607099
http://arxiv.org/abs/gr-qc/0607100
http://arxiv.org/abs/gr-qc/0607101

Explorations of the Planck scale geometry in symmetry reduced midi-superspaces
http://arxiv.org/abs/gr-qc/0412028
http://arxiv.org/abs/gr-qc/0406087
http://arxiv.org/abs/gr-qc/0402096
http://arxiv.org/abs/gr-qc/0506093
http://arxiv.org/abs/gr-qc/0607053

Ramifications of quantum geometry for dynamics of matter

http://arxiv.org/abs/gr-qc/970519

Ideas on black hole evaporation and information loss

http://arxiv.org/abs/gr-qc/0509075
http://arxiv.org/abs/gr-qc/0509078v2

Phenomenological developments in quantum cosmology

http://arxiv.org/abs/gr-qc/0102069
http://arxiv.org/abs/gr-qc/0202077
http://arxiv.org/abs/gr-qc/0304074
http://arxiv.org/abs/gr-qc/0601085

2 Responses to “Ashtekar on Recent Advances in LQG”

  1. Hi Christine,
    this was an excellent thing to do.
    Another way that blogs can work to everybody’s assistance and benefit
    (except the public-spirited blogger who performs the labor :-) )

    I think you may need to fix the first link, which is supposed to be to Ashtekar’s paper—it doesn’t work for me. Wonderful paper!
    Strong, organized, succinct.

    You have mention of Okolow’s PhD thesis.
    I was also trying to find Aureliano Skirzewski (Berlin) PhD thesis
    but I could not dig it up. Bojowald was the advisor.

    Also Dario Benedetti thesis (Utrecht, Loll was the advisor). It is a bottleneck if each individual who wants it always has to write to somebody at the department. And yet some of these theses probably have essential parts of the research.

    Anyway that is a secondary issue. Thanks for doing this.

    Also I have to say that a lot seems to be happening in LQG these days especially around the spinfoam vertex, hopeful new developments.

  2. Hi Marcus,

    Thanks, the link is fixed now.

    I have asked Okolow to send me his PhD thesis by email
    yesterday, and he sent me a copy today.

    I would have to ask his permission to make it available
    here, though.

    Best wishes,
    Christine

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