The conclusive volume of the Brandeis University Summer
Institute lecture series of 1970 on theories of interacting
elementary particles consisting of five sets of lectures. The five
sets of lectures are as follows: Rudolph Haag (II. Institut fur
Theoretische Physik der Universitat Hamburg) on "Observables and
Fields": introduction; axiomatic quantum field theory in various
formulations; structure of superselection rules; charge quantum
numbers; statistics; parastatistics.Maurice Jacob (CERN, European
Organization for Nuclear Research) on "Regge Models and Duality":
introduction; duality in a semi-local way; duality and unitary
symmetry; dual models for meson-meson scattering; dual models for
production proceses; from dual models to a dual theory.Henry
Primakoff (University of Pennsylvania) on "Weak Interactions":
introduction; lepton conversation and the implications of a
possible lepton non-conversation; first-order and second-order weak
collision processes; "abnormalities in the weak currents and how to
discover them; conclusion.Michael C. Reed (Princeton University)on
"The GNS Construction -- A Pedagogical Example": infinite tensor
products of Hilbert spaces; the canonical anti-commutation
relations; the example; the example -- via the GNS
construction.Bruno Zumino (CERN, European Organization for Nuclear
Research) on "Effective Lagrangians and Broken Symmetries":
Introduction; effective action and phenomenological fields; Ward
identities and the effective action; Goldstone's theorem;
non-linear realizations; massive Yang-Mills fields as
phenomenological fields; broken scale invariance; the fifteen
parameter conformal group and the Weyl transformations; conversion
identities and trace identities; invariant actions; SU(3)xSU(3)and
conformalinvariance; strong gravitation; concluding remarks.
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