Utiyama reformulation of Gravity

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SUMMARY

The discussion focuses on the Utiyama reformulation of gravity, highlighting key resources for understanding this complex topic. Notable references include Ryoyu Utiyama's papers: "Invariant Theoretical Interpretation of Interaction" (Phys.Rev.101:1597-1607, 1956) and "Introduction To The Theory Of General Gauge Fields" (Prog.Theor.Phys.64:2207, 1980). Additionally, Chapter 3 of "Quantum Field Theory" by Lewis Ryder is recommended for its parallels between gravity and non-Abelian gauge theory. The second paper by Utiyama is noted as more accessible for readers.

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  • Understanding of gauge theory principles
  • Familiarity with quantum field theory concepts
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NEXT STEPS
  • Read "Invariant Theoretical Interpretation of Interaction" by Ryoyu Utiyama
  • Study "Introduction To The Theory Of General Gauge Fields" by Ryoyu Utiyama
  • Examine Chapter 3 of "Quantum Field Theory" by Lewis Ryder
  • Research non-Abelian gauge theory applications in modern physics
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Researchers, physicists, and students interested in advanced theoretical physics, particularly those exploring the intersections of gravity and gauge theories.

mhill
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could anyone tell me where i could find a comprehensive introduction to Utiyama Mathematical reformulation of gravity ? .. thanks
 
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It might help to look at Chapter 3 of Quantum Field Theory by Lewis Ryder. While he doesn't go into formulating gravity in terms of non-Abelian gauge theory. He did nice job drawing parallel between the two formalisms.
 
I found two papers by Utiyama on this subject,

1. Invariant theoretical interpretation of interaction.
Ryoyu Utiyama Published in Phys.Rev.101:1597-1607,1956.

2. Introduction To The Theory Of General Gauge Fields.
Ryoyu Utiyama. Published in Prog.Theor.Phys.64:2207,1980.

The second article should be more accessible than the first.
 
Hyperreality said:
It might help to look at Chapter 3 of Quantum Field Theory by Lewis Ryder. While he doesn't go into formulating gravity in terms of non-Abelian gauge theory. He did nice job drawing parallel between the two formalisms.


Indeed, It was actually Utiyama who was the first to point out this correspondence in 1956. :smile:


Regards, Hans.
 
thanks everyone, although perhaps the peer-reviewed articles by Utiyama will be pay-per-view (if possible and someone can give me a link)
 

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