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

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SUMMARY

Wieland's ILQGS talk on September 16, titled "Covariant loop quantum gravity: Its classical action, phase space and gauge symmetries," presents a new action for simplicial gravity using first-order area-connection variables. The theory incorporates a Hamiltonian and local gauge symmetries, with solutions representing twisted geometries exhibiting curvature and deficit angles around triangles. Key unresolved issues in spinfoam quantum gravity were discussed, emphasizing the need for a classical framework to address these questions.

PREREQUISITES
  • Understanding of loop quantum gravity (LQG)
  • Familiarity with simplicial gravity concepts
  • Knowledge of Hamiltonian mechanics
  • Basic grasp of gauge symmetries in theoretical physics
NEXT STEPS
  • Research "Hamiltonian spinfoam gravity" in Class. Quant. Grav.
  • Explore "New action for simplicial gravity in four dimensions" on arXiv
  • Study "From twistors to twisted geometries" in Phys. Rev. D
  • Investigate unresolved issues in spinfoam quantum gravity
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in quantum gravity, and students interested in the foundations of loop quantum gravity and simplicial approaches to gravity.

marcus
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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).
====
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.
 
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
 

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