Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970

We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor­ mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten­ tatively state: 1) All matrix elements are finite for theories where the...

Full description

Bibliographic Details
Other Authors: Urban, Paul (Editor)
Format: eBook
Language:English
Published: Vienna Springer Vienna 1970, 1970
Edition:1st ed. 1970
Series:Few-Body Systems, Supplementa
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03042nmm a2200289 u 4500
001 EB000708037
003 EBX01000000000000000561119
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783709158357 
100 1 |a Urban, Paul  |e [editor] 
245 0 0 |a Developments in High Energy Physics  |h Elektronische Ressource  |b Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970  |c edited by Paul Urban 
250 |a 1st ed. 1970 
260 |a Vienna  |b Springer Vienna  |c 1970, 1970 
300 |a V, 633 p  |b online resource 
505 0 |a Non-Polynomial Lagrangian Theories -- to the Use of Non-Linear Techniques in S-Matrix Theory -- Some Exact Results on ? ? Scattering -- Aspects of Chiral Symmetry -- Some Recent Work in Regge Theory: Regge Cuts, The Absorption Model and Glauber Theory -- Veneziano-Like Model for a Two-Current Amplitude -- Absorption Corrections and Cuts in the Regge Pole Model -- Lectures on Regge Phenomenology -- Differentiable Manifolds -- General Relativity and Gravitational Collapse -- The Construction of Physical States in Quantum Field Theory -- The 0(3,1) Analysis of Currents and Current Commutators -- Duality -- Some Remarks on the Quark Model -- Anomalies in Ward Identities ? -- Structure Effects in Weak Interactions -- Realizations of Lie Algebras Through Rational Functions of Canonical Variables -- Mass Operator in the SU(3)-Symmetric Strong Coupling Theory with Pseudoscalar Mesons -- Summary — First Week -- Summary — Second Week 
653 |a Physics and Astronomy 
653 |a Physics 
653 |a Astronomy 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Few-Body Systems, Supplementa 
028 5 0 |a 10.1007/978-3-7091-5835-7 
856 4 0 |u https://doi.org/10.1007/978-3-7091-5835-7?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 500 
520 |a We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor­ mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten­ tatively state: 1) All matrix elements are finite for theories where the Dyson index D is less than two. 2) For the cases when D=2 or 3, counter-terms have been explicitly written which absorb all infinities and the theories are renormalizable. 3) Mixed theories of polynomial and non-polynomial fields appear to be renormalizable provided the Dyson in­ dices separately and jointly fulfill renormalizability criteria. We believe that weak interactions, chiral La­ grangians and Yang-Mills theory fall into this class though detailed proofs have not yet been constructed. 4) It seems likely that to each order in the major coupling (and to all orders in the minor coupling}the S­ matrix elements, as computed by methods outlined, satisfy the necessary unitarity and analyticity requirements