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Lectures on Current Algebra and Its Applications

Lectures on Current Algebra and Its Applications

Sam B. Treiman
Roman Jackiw
David J. Gross
Copyright Date: 1972
Pages: 372
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  • Book Info
    Lectures on Current Algebra and Its Applications
    Book Description:

    A timely addition to the literature, this volume contains authoritative reviews of three important areas in the physics of elementary particles. Sam B. Treiman, in "Current Algebra and PCAC," reviews the present state of the weak interactions. In "Field Theoretic Investigations in Current Algebra," Roman Jackiw deals with recent developments in current algebra and its applications, giving particular attention to anomalies. David J. Gross covers the high energy inelastic lepton-hadron scattering in his paper, "The High Energy Behavior of Weak and Electromagnetic Interactions."

    Originally published in 1972.

    ThePrinceton Legacy Libraryuses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

    eISBN: 978-1-4008-7150-6
    Subjects: Physics

Table of Contents

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  1. Front Matter
    (pp. i-iv)
    (pp. v-vi)
    S. Treiman, R. Jackiw and D. J. Gross

    The three sections of this book comprise three lectures which we delivered at the Brookhaven Summer School in Theoretical Physics during the summer of 1970. “Current Algebra and PCAC” summarizes the “classical” results of the theory. The general methodology is introduced and then applied to derivations of various sum rules and low-energy theorems. In “Field Theoretic Investigations in Current Algebra” calculations are presented which have exhibited unexpected dynamical dependence of the predictions of current algebra. In models many predictions fail due to anomalies which are present as a consequence of the divergences of local quantum field theory, at least in...

  3. Table of Contents
    (pp. vii-2)
    (pp. 3-96)
    Sam B. Treiman

    The basic ideas for the subject of current algebra were introduced by Gell-Mann¹ as long ago as 1961. But the development proceeded slowly for several years, until 1965, when Fubini and Furlan² suggested the appropriate techniques for practical applications and Adler³ and Weisberger⁴ derived their remarkable formula relatingβdecay parameters to pion-nucleon scattering quantities. This inaugurated the golden age and the literature soon reflected what always happens when a good idea is perceived. In 1967 Renner⁵ counted about 500 papers, and the number may well have doubled by now. Of course the number of really distinct advances in understanding...

    (pp. 97-254)
    Roman Jackiw

    The techniques of current algebra have been developed to circumvent two difficulties which hamper progress in particle physics. These are (1) a lack of knowledge of the precise laws which govern elementary processes, other than electromagnetism; (2) an inability of solving any of the realistic models which have been proposed to explain dynamics. It was in this context that Gell-Mann,¹ in a brilliant induction from non-relativistic quantum mechanics, proposed his now famous charge algebra, which subsequently has been extended to the local algebra of charge and current densities. Just as the canonical, non-relativistic Heisenberg commutator between the momentum p =...

    (pp. 255-362)
    David J. Gross

    The subject matter to be covered in these lectures is the high energy behavior of weak and electromagnetic processes. Most of the emphasis will be placed on the highly inelastic region of lepton-hadron scattering. This is an exciting and undeveloped area of research which can be highly recommended to young theorists, particularly since most of the experimental surprises and the important theoretical advances are yet to come. In addition it is a field which demands an interplay of varied theoretical methods and intuition. Finally, there is some reason to hope that the use of the weak and electromagnetic interactions as...