On the Dirac equation in a gravitation field

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SUMMARY

The discussion focuses on the Dirac equation in a gravitational field, highlighting its implementation within the framework proposed by Anthony Lasenby, Chris Doran, and Stephen Gull in their paper "Gravity, Gauge Theories and Geometric Algebra." The participants agree that this formulation is superior to others due to its simplicity and effectiveness in applying the Dirac equation. The original article referenced is from arXiv, specifically math.DG/0603367, which serves as a foundational text for understanding this topic.

PREREQUISITES
  • Understanding of the Dirac equation
  • Familiarity with gravitational theories
  • Knowledge of geometric algebra
  • Basic comprehension of gauge theories
NEXT STEPS
  • Read the paper "Gravity, Gauge Theories and Geometric Algebra" by Lasenby, Doran, and Gull
  • Explore the implications of the Dirac equation in curved spacetime
  • Investigate the mathematical framework of geometric algebra
  • Study advanced gauge theories and their applications in physics
USEFUL FOR

This discussion is beneficial for theoretical physicists, mathematicians specializing in geometry, and researchers interested in the intersection of quantum mechanics and general relativity.

Ruslan_Sharipov
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Let's discuss the Dirac equation in a gravitation field. I suggest to begin with the following article:

http://arxiv.org/abs/math.DG/0603367"

It is rather simple. Your comments would be helpful for me.
 
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Your paper is beautiful. Have you seen this paper?

<b>Gravity, Gauge Theories and Geometric Algebra</b>
Anthony Lasenby, Chris Doran, Stephen Gull
http://www.arxiv.org/abs/gr-qc/0405033
[Phil. Trans. R. Soc. Lond. A 356, 487-582 (1998).]

I think the formulation they are using for gravitation is superior to all others, particularly in the ease with which the Dirac equation can be implemented in it.

Carl
 

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