What Are the Insights of 2D Physics and Loop Variables in Loop Quantum Gravity?

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    2d Loop Variables
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Discussion Overview

The discussion revolves around the exploration of insights from 2D physics, specifically focusing on Wilson loops and loop variables in the context of Loop Quantum Gravity (LQG). Participants are seeking manageable examples and toy models that simplify the complexities of LQG, particularly in lower-dimensional spacetimes.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks simple articles on 2D physics and related concepts to gain insights into LQG.
  • Another participant asks for clarification on whether the focus is on 1+1 or 2+1 spacetime dimensions.
  • A participant expresses a preference for simplicity in examples, indicating openness to different types of 2D spaces, such as toroidal or lattice structures.
  • A suggestion is made to start with Carlip's review, which includes references that may be useful for understanding the topic.
  • A later reply acknowledges the compactness of the article but appreciates the references provided.

Areas of Agreement / Disagreement

Participants generally agree on the interest in exploring lower-dimensional models for insights into LQG, but there is no consensus on the specific dimensional focus or the best resources to utilize.

Contextual Notes

The discussion does not resolve the specific assumptions regarding the dimensionality of spacetime or the applicability of different models. There is also no consensus on the best approach or resources for studying the topic.

Who May Find This Useful

Researchers and students interested in Loop Quantum Gravity, lower-dimensional physics, and theoretical models in quantum gravity may find this discussion useful.

ontogen
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I'm looking for some simple articles on 2D physics, Wilson loops, loop variables and similar. The purpose is to gain insights in LQG using lower dimensions.

Thanks for your help
 
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Do you mean 1+1 or 2+1 spacetime dimensions?
 
1+1 or 2+1. My focus is more on simplicity (i.e. manageable examples of loop technology) rather than a particular spacetime. If a toroidal space would make everything more simple then I'd be happy, if it's more a 2D lattice I'd consider that.
Maybe I could rephrase it as: is there a toy-model to play with rather than the full 4D spacetime?
 
The article is rather compact but the references therein are certainly useful. Thank you for your help!
 

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