Spin foam phase space, classical action (Wieland's talk is online)

In summary, Wieland gave a talk at ILQGS about his work on covariant loop quantum gravity, specifically its classical action, phase space, and gauge symmetries. The audio and slides are available online, and the talk was titled "The Spin Foam Action." Wieland also referenced some ongoing debates in the field and suggested addressing them at the classical level. The ILQGS website has links to past and current talks, including Wieland's, and the current semester schedule features talks on various topics related to loop quantum gravity.
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Wieland gave his ILQGS talk yesterday, 16 September. Audio and slides are on line.

Title: Covariant loop quantum gravity: Its classical action, phase space and gauge symmetries
http://relativity.phys.lsu.edu/ilqgs/wieland091614.pdf
http://relativity.phys.lsu.edu/ilqgs/wieland091614.wav

The short title was "The spin foam action"
Abstract: I present an action for simplicial gravity in first-order area-connection variables. The theory has a Hamiltonian and local gauge symmetries. Generic solutions represent twisted geometries, and have curvature – there is a deficit angle around triangles.

Some references:
*ww, New action for simplicial gravity in four dimensions (2014), arXiv:1407.0025.
*ww, One-dimensional action for simplicial gravity in three dimensions, Phys. Rev. D 90 (2014), arXiv:1402.6708.
*ww, Hamiltonian spinfoam gravity, Class. Quant. Grav. 31 (2014), arXiv:1301.5859.
*M Cortês and L Smolin, Spin foam models as energetic causal sets (2014), arXiv:1407.0032.
*L Freidel and S Speziale, From twistors to twisted geometries, Phys. Rev. D 82 (2010), arXiv:1006.0199.
 
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The audio is 1 hour 16 minutes and concludes with one of the longest, most active and interesting discussions which I have heard at ILQGS (Wolfgang, Abhay, Carlo, Lee, Simone, Eugenio, and possibly others).
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In slide 5 Weiland mentions some unresolved issues in spinfoam QG, and puts forward his view on how they should be addressed.
... ongoing debates:
How can we find continuum GR? Which limit? Summing, refining?
Do we miss additional secondary (torsional) constraints?
Is there a flatness problem?
Is there a notion of causality in spin foams?

I think, these issues have little to do with the quantum theory itself. We should address these question already at the classical level. What we need is a framework of simplicial gravity in area–connection variables.
 
  • #3
In case this talk interests readers in hearing more of the ILQGS talks (while following the slides) here is the main page, with links to audio and slides PDF.
http://relativity.phys.lsu.edu/ilqgs/
This can serve as a menu covering Fall and Spring semesters of past years, as well as the current semester.

Here is the current semester schedule:
http://relativity.phys.lsu.edu/ilqgs/schedulefa14.html
Code:
Sep 2	 [B]Casimir effect on a quantum geometry[/B]	 Javier Olmedo	 LSU
Sep 16   [B]Cov LQG: classical action, phase space & gauge symmetries[/B]  Wolfgang Wieland PSU
Sep 30   [B]Phenomenological consequences of quantum geometries in LQC[/B] Brajesh Gupt  PSU
Oct 14	 [B]White holes[/B]	 Carlo Rovelli	 CNRS Marseille
Oct 28	 [B]New applications for LQG[/B]	 Jerzy Lewandowski	 University of Warszaw
Nov 11	 [B]Lorentz transformations from abstract quantum theory[/B]	 Philip Hoehn  PI
Nov 25	 TBA	 Derek Wise	 FAU Erlangen
Dec 9	 [B]Invariance of Connections and Measures in LQC[/B]  Maximilian Hanusch Uni Paderborn
 

1. What is spin foam phase space?

Spin foam phase space is a mathematical framework used in loop quantum gravity to describe the dynamical evolution of a quantum gravitational system. It is a phase space in which the possible states of the system are represented by a set of variables known as spin networks.

2. How is spin foam phase space related to loop quantum gravity?

Spin foam phase space is a key concept in loop quantum gravity, as it provides a way to reconcile the principles of general relativity and quantum mechanics. It allows for the description of the quantum states of a gravitational system, which is necessary for a complete understanding of gravity at a fundamental level.

3. What is the classical action in relation to spin foam phase space?

The classical action is a fundamental quantity in classical mechanics that describes the dynamics of a system. In the context of spin foam phase space, it represents the contribution of a given state to the overall dynamics of the gravitational system. It is a key ingredient in the calculation of transition amplitudes between quantum states.

4. How is Wieland's talk related to spin foam phase space?

Wieland's talk discusses the latest developments in spin foam phase space, specifically in relation to the classical action. He presents new insights and findings that further our understanding of this mathematical framework and its implications for loop quantum gravity.

5. Is there a relationship between spin foam phase space and other areas of physics?

Yes, spin foam phase space has connections to other areas of physics, such as gauge theory, statistical mechanics, and quantum information theory. It also has implications for the study of black holes and the early universe, providing a potential bridge between quantum gravity and cosmology.

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