Utiyama reformulation of Gravity

  • Context: Graduate 
  • Thread starter Thread starter mhill
  • Start date Start date
  • Tags Tags
    Gravity
Click For Summary

Discussion Overview

The discussion focuses on the Utiyama mathematical reformulation of gravity, exploring its theoretical foundations and connections to gauge theory. Participants seek resources and references to better understand this topic, which intersects with quantum field theory.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests a comprehensive introduction to Utiyama's reformulation of gravity.
  • Another suggests Chapter 3 of "Quantum Field Theory" by Lewis Ryder as a helpful resource, noting it parallels the formalisms of gravity and gauge theory, though it does not specifically formulate gravity in terms of non-Abelian gauge theory.
  • A participant identifies two papers by Utiyama, highlighting their relevance: one from 1956 discussing invariant theoretical interpretations and another from 1980 on general gauge fields, suggesting the latter may be more accessible.
  • There is a reiteration of Utiyama's role in establishing the correspondence between gravity and gauge theory in 1956.
  • One participant expresses concern about access to Utiyama's peer-reviewed articles, inquiring about potential links to obtain them.

Areas of Agreement / Disagreement

Participants generally agree on the significance of Utiyama's work and the relevance of suggested resources, but there is no consensus on the accessibility of the articles or their content.

Contextual Notes

Some participants note the potential paywall for accessing Utiyama's articles, which may limit availability for those seeking to explore the topic further.

mhill
Messages
180
Reaction score
1
could anyone tell me where i could find a comprehensive introduction to Utiyama Mathematical reformulation of gravity ? .. thanks
 
Physics news on Phys.org
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)
 

Similar threads

Undergrad Limits of the variatonal principle
  • · Replies 2 ·
Replies
2
Views
2K
Graduate F.E.M and Hamilton's Principle (converting differential equations into integral equations)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Unifying string theory and loop quantum gravity
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Is Gravity a Force or Curvature?
  • · Replies 20 ·
Replies
20
Views
6K
Graduate Thermodynamic Approaches to Quantum Gravity: Discussion
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Does Gravity Criticism in Maxwell's Equations Apply to All Gravity-Medium Analogies?
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Current progress in quantum gravity?
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Geodesics in quantum gravity: Missing Link
  • · Replies 10 ·
Replies
10
Views
1K
Undergrad Does the graviton have to exist?
  • · Replies 6 ·
Replies
6
Views
4K
Graduate Higgs inflation and quadratic gravity
  • · Replies 1 ·
Replies
1
Views
4K