On Some Applications of Abstract Methods in Mathematical Physics

Classical mathematical physics studies various physical prob­lems by uniform methods deriving from classical analysis.

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SUPPLEMENTUM III

ELEMENTARY PARTICLE THEORIES PROCEEDINGS OF THE V. INTERNATIONALE UNIVERSITÄTSWOCHEN FÜR KERNPHYSIK 1966 DER KARL-FRANZENS-UNIVERSITÄT GRAZ, AT SCHLADMING (STEIERMARK, AUSTRIA) 24th FEBRUARY -9th MARCH 1966 SPONSORED BY BUNDESMINISTERIUM FüR UNTERRICHT STEIERMÄRKISCHE LANDESREGIERUNG THE INTERNATIONAL ATOMIC ENERGY AGENCY AND KAMMER DER GEWERBLICHEN WIRTSCHAFT FüR STEIERMARK EDITED BY

PAUL URBAN ORAZ

WITH 57 FIGURES

]966 SPRINGER - VERLAG / WIEN

. NEW YORK

Organizing Committee: Chairman: Prof. Dr. PAUL URBAN

Vorstand des Institutes für Theoretische Physik, Universität Graz

Committee Members: Dr. R. BAIER Dr. P. BREITENWHNER Secretary: A. SCHMALDIENST

Acta Physica Austriaca I Supplementum I Weak Interactions and Higher Symmetries pUblished in 1964

I Supplementum II Quantum Electrodynamics pUblished in 1965

Acta Physica Austriaca

ISBN 978-3-211-80755-2 DOI 10.1007/978-3-7091-5566-0

ISBN 978-3-7091-5566-0 (eBook)

Ohne schriftliche Genehmigung des Verlages ist es auch nicht gestattet, dieses Buch oder Teile daraus auf photomechanischem Wege (Photokopie, MIkrokopie) oder 8on8twle zu vervielfältigen Llbrary of Congress Catalog Card Number: 66-26128

Tltel-Nr. 9183

Preface The great success of the experimental research on elementary particles and their qualities during the last years suggests giving a summary of the present situation also in the theoretical description of this important branch of physics. In spite of the precarious situation in this field of theoretical physics I believe I can fully account for this choice and must see that the number of participants and the general interest justify my opinion. In organizing the proceedings it was our prime concern to reduce the delay in editing and also keep down the price. This was possihle only through the assistance of the Springer-Verlag who chose photomechanical method working quicker and cheaper. Therefore we apologize for any mistakes and errors that may occur in the text and formulae. I am very indebted to my secretary, Miss A. SCHMALDIENST and one of my assistants, Dr. H. KÜHNELT, who did an the typing and correcting of the manuscripts with great patience and knowledge. Graz, May, 1966

P. Urban

Contents Urban, P. Introduction ................................................. Dürr, P. On the Nonlinear Spinor Theory of Elementary Particles .. " . . . . . . . Mltter, H. Nonlinear Spinor Theory in Terms of Vacuum Expectation Values Suranyi, P. Spontaneous Breakdown of Symmetries ....................... Frishman, Y. and A. Katz. Theory of Spontaneous Symmetry Breakdown and the Appearance of Massless Particles ................................. MoHat, I. W. Current Algebras and Calculations in Broken Symmetries ..... lengo, K. Axial Form Factors by the Algebra of Currents ................ Buccella, F. Collinear Groups and Dynamical Approach to Symmetry ...... KAUen, G. Radiative Corrections in Nucleon-Decay and Electromagnetic Form Factors ............................................................ Pilkuhn, H. Description of K±p In