Elementary Particle Theories: Proceedings of the V. by P. Urban (auth.), Prof. Dr. Paul Urban (eds.)

By P. Urban (auth.), Prof. Dr. Paul Urban (eds.)

The nice good fortune of the experimental study on common debris and their traits over the last years indicates giving a precis of the current state of affairs additionally within the theoretical description of this significant department of physics. inspite of the precarious scenario during this box of theoretical physics i think i will be able to totally account for this selection and needs to see that the variety of members and the final curiosity justify my opinion. In organizing the complaints it was once our leading hindrance to lessen the hold up in enhancing and likewise maintain down the associated fee. This used to be possihle in simple terms during the suggestions of the Springer-Verlag who selected photomechanical approach operating speedier and less expensive. consequently we ask for forgiveness for any error and mistakes which may ensue within the textual content and formulae. i'm very indebted to my secretary, pass over A. SCHMALDIENST and one among my assistants, Dr. H. KÜHNELT, who did an the typing and correcting of the manu­ scripts with nice endurance and knowledge.

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Extra info for 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

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Maison, H. Stumpf, preprint March 1966; Ch. Schwartz, Ann. of Phys. ~, 28. J. Dhar, Y. Katayama, Nuovo Cim. 277 (1965). ~, 533 (1965) 29. H. Stumpf, H. Yamamoto, Zs. f. Naturforschg. 10a, 1 (1965). NONLINEAR SPINOR THEORY IN TERMS OF VACUUM EXPECTATION VALUES t By H. MITTER Max-Planck-Institut für Physik und Astrophysik München • Equations derivable from the field e~uation We shall consider in these lectures the system of equations for the vacuum expectation values of certain products of field operators (the n-point-functions) of a nonlinear, cubic spinor theory with the field equation ( 1) We shall use a rather abstract notation: the indices represent spin, isospin etc.

Käll~n, Helv. Phys. Acta~, 417 (1952); H. Lehmann, Nuovo Cim. 11, 342 (1954); H. Umezawa and S. Kamefuchi, Prog. Theoret. Phys. ~, 543 (1951). 40 12. K. Sekine, Nucl. Physics 23, 245 (1961) 13. W. Heisenberg, Nucl. Physics ~, 532 (1957); 14. E. c. 1, 195 (1958) G. Sudarshan, Phys. Rev. 123, 2183 (1961); H. J. SChnitzer, E. C. G. Sudarshan, 123, 2193 (1961). 15. K. L. Nagy, Nuovo Cim. 21, 925 (1960) (review) L. A. Maksimov, Zhur. Eksp. Theoret. Fiz. ~, 140 (1959); 465 (1959) 16. K. Bleuler, Helv.

We 0 can then write even (33) since x 2 ö'(x) = x2 In contrast to p 6(x) = 0 in (31) cr is no longer bound to fulfil (19) and we could therefore, as a first and very rough step, approximate cr by a ö-function at just one mass without running into contradictions with (19). This has been dune in all practical calculations so far, where M2 has been taken be zero. If M2 is taken to be very large we have the situation of a wellknown invariant cutoff of the usual type. In coordinate space the propagator has a logarithmic singularity at the light cone ln all these cases.

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