# Gauge theory: Historical origins and some modern developments

@article{Oraifeartaigh2000GaugeTH, title={Gauge theory: Historical origins and some modern developments}, author={L. O'raifeartaigh and Norbert Straumann}, journal={Reviews of Modern Physics}, year={2000}, volume={72}, pages={1-23} }

One of the major developments of twentieth-century physics has been the gradual recognition that a common feature of the known fundamental interactions is their gauge structure. In this article the authors review the early history of gauge theory, from Einstein’s theory of gravitation to the appearance of non-Abelian gauge theories in the fifties. The authors also review the early history of dimensional reduction, which played an important role in the development of gauge theory. A description…

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## References

SHOWING 1-10 OF 59 REFERENCES

The dawning of gauge theory

- Physics
- 1997

During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known…

Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building

- Physics
- 1989

This monograph presents in detail the reduction method for studying the unification of fundamental actions. The mathematical (differential geometrical) methods make extensive use of Lie Groups and…

The Theory of Relativity

- MathematicsNature
- 1921

THE earlier portion of Dr. Carmichael's book is a reprint of the first edition, which received notice in NATURE for March 12, 1914. The later pages, which are grouped together under one large chapter…

Introduction to the Theory of Relativity

- PhysicsNature
- 1942

THE number of systematic treatises on relativity is not unduly large. This is partly because, since the first few years after Einstein's announcement of the 'general' theory in 1917, it has undergone…

Selected Papers, 1945-1980. With Commentary

- Physics, Education
- 1983

A remarkable personal and professional chronicle by one of today's leading physicists, this is a collection of Chen Ning Yang's personally selected papers supplemented by his insightful commentaries.…

Feynman Lectures On Gravitation

- Physics, Education
- 1995

In the early 1960s Feynman lectured to physics undergraduates and, with the assistance of his colleagues Leighton and Sands, produced the three-volume classic Feynman Lectures in Physics. These…

Schrodinger: Centenary Celebration of a Polymath

- Physics
- 1989

1. Introduction C. W. Kilmister 2. Boltzmann's influence on Schrodinger Dieter Flamm 3. Schrodinger's original interpretation of the Schrodinger equation: a rescue attempt Jon Dorling 4. Are there…

'Subtle Is the Lord ...': The Science and the Life of Albert Einstein

- Physics
- 1982

For withdrawing a bundle of pipes from a heat exchanger and for inserting such bundle the required tractive forces should be exerted on the bundle in a direction in line therewith by means of a key.…

Gesammelte Abhandlungen

- EconomicsNature
- 1906

THE first volume of Prof. Abbe's works has already been noticed in the pages of NATURE (vol. lxix., p. 497). The contents of the second volume, while extremely interesting, are more miscellaneous in…

Elektron und gravitation. I

- Physics
- 1986

Abstract Einleitung. Verhaltnis der allgemeinen Relativitatstheorie zu den quanten-theoretischen Feldgleichungen des spinnenden Elektrons: Masse, Eichinvarianz, Fernparallelismus. Zu erwartende…