The Dawning of Gauge Theory
By (author) L. O'Raifeartaigh
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Dawning of Gauge Theory by L. O'Raifeartaigh
Book DescriptionDuring 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 fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.
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Book DetailsISBN: 9780691029771
(229mm x 152mm x 18mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 5-May-1997
Country of Publication: United States
Books By Author L. O'Raifeartaigh
Group Structure of Gauge Theories, Paperback (May 1988)» View all books by L. O'Raifeartaigh
This monograph provides an account of the structure of gauge theories from a group theoretical point of view. It is intended for graduate students and researchers in theoretical physics and applied mathematics, especially those interested in applications of differential geometry and group theory.
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