Group Structure of Gauge Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Group Structure of Gauge Theories write by L. O'Raifeartaigh. This book was released on 1986. Group Structure of Gauge Theories available in PDF, EPUB and Kindle. The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
Group Structure of Gauge Theories
Group Structure of Gauge Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Group Structure of Gauge Theories write by Lochlainn O'Raifeartaigh. This book was released on 1986. Group Structure of Gauge Theories available in PDF, EPUB and Kindle. This monograph provides an account of the structure of gauge theories from a group theoretical point of view. The first part of the text is devoted to a review of those aspects of compact Lie groups (the Lie algebras, the representation theory, and the global structure) which are necessary for the application of group theory to the physics of particles and fields. The second part describes the way in which compact Lie groups are used to construct gauge theories. Models that describe the known fundamental interactions and the proposed unification of these interactions (grand unified theories) are considered in some detail. The book concludes with an up to date description of the group structure of spontaneous symmetry breakdown, which plays a vital role in these interactions. This book will be of interest to graduate students and to researchers in theoretical physics and applied mathematics, especially those interested in the applications of differential geometry and group theory in physics.
The Dawning of Gauge Theory
The Dawning of Gauge Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Dawning of Gauge Theory write by Lochlainn O'Raifeartaigh. This book was released on 2020-06-30. The Dawning of Gauge Theory available in PDF, EPUB and Kindle. 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 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.
The Mathematical Foundations of Gauge Theories
The Mathematical Foundations of Gauge Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematical Foundations of Gauge Theories write by Kishore B. Marathe. This book was released on 1992. The Mathematical Foundations of Gauge Theories available in PDF, EPUB and Kindle. Theoretical physicists tend to discuss their theories in the language of mathematics. However, the adequate mathematical formulation may not yet be available when the physical law is first discovered. Mathematical physicists trying to develop the relevant mathematics for these theories, may obtain new insights into old mathematical structures or may even disclose entirely new structures. Gauge Theory is such a gift from physics to mathematics. This volume presents a self-contained development of a differential geometric formulation of gauge theories, in particular, the theory of Yang-Mills fields. theoretical physics and pure and applied mathematics who are acquainted with the elements of the theory of differential manifolds. It enables the reader to apply this theory to gauge theories and to understand the role of gauge theories in high energy physics, gravitation theory and electromagnetism.
Gauge Theories in the Twentieth Century
Gauge Theories in the Twentieth Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Gauge Theories in the Twentieth Century write by John C. Taylor. This book was released on 2001. Gauge Theories in the Twentieth Century available in PDF, EPUB and Kindle. By the end of the 1970s, it was clear that all the known forces of nature (including, in a sense, gravity) were examples of gauge theories, characterized by invariance under symmetry transformations chosen independently at each position and each time. These ideas culminated with the finding of the W and Z gauge bosons (and perhaps also the Higgs boson). This important book brings together the key papers in the history of gauge theories, including the discoveries of: the role of gauge transformations in the quantum theory of electrically charged particles in the 1920s; nonabelian gauge groups in the 1950s; vacuum symmetry-breaking in the 1960s; asymptotic freedom in the 1970s. A short introduction explains the significance of the papers, and the connections between them. Contents: Gauge Invariance in Electromagnetism; Non-Abelian Gauge Theories; Gravity as a Gauge Theory; Gauge Invariance and Superconductivity; Spontaneous Symmetry Breaking and Particle Physics; Gauge-Fixing in Non-Abelian Gauge Theories; Gauge Identities and Unitarity; Asymptotic Freedom; Monopoles and Vortex Lines; Non-Pertubative Approaches; Instantons and Vacuum Structure; Three-Dimensional Gauge Fields and Topological Actions; Gauge Theories and Mathematics. Readership: Graduate students, researchers and lecturers in mathematical, theoretical, quantum and high energy physics, as well as historians of science.
