On the Dirac equation in a gravitation field

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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