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Constructive Quantum Field Theory II (Paperback, Softcover reprint of the original 1st ed. 1990)
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Constructive Quantum Field Theory II (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: NATO Science Series B:, 234
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The seventh Ettore Majorana International School of Mathematical
Physics was :Jeld at the Centro della Cultura Scientifica Erice.
Sicily, 1-15 July 1988. The present volume collects lecture notes
on the session which was entitled Con8tructive Quantum Field Theory
lI. The II refers to the fact that the first such school in 1973
was devoted ,0 the same subject. The school was a NATO Advanced
Study Institute sponsored Jy the Italian Ministry of Scientific and
Technological Research and the Regional 3icilian Government. At the
time of the 1973 Erice School on Constructive Field Theory, the
speakers :ould summarize a decade of effort on the solution of
superrenormalizable models in two dimensional space-time leading to
the verification of the axioms of relativistic :J. uantum field
theory for these examples. The resulting lecture notes have proved
,0 be exceptionally useful and are still in print. In the decade
and a half that have ~lapsed since that time, there has been much
hard work with the ultimate objective of providing a rigorous
mathematical foundation for the quantum field theories in four
iimensional space-time that summarize a large fraction of our
current understanding )f elementary particle physics: QCD and the
electroweak theory. The lecture notes )f the 1988 school record the
fact that, although this objective has not been reached, Important
progress has been made. The ultraviolet stability of Yang-Mills
theory In four dimensions has been treated and renormalizable (not
superrenormalizable) models in two dimensional space-time,
Gross-Neveu models, have been solved.
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