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Recent Developments in Gauge Theories (Paperback, Softcover reprint of the original 1st ed. 1980)
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Recent Developments in Gauge Theories (Paperback, Softcover reprint of the original 1st ed. 1980)
Series: NATO Science Series B:, 59
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Almost all theories of fundamental interactions are nowadays based
on the gauge concept. Starting with the historical example of
quantum electrodynamics, we have been led to the successful unified
gauge theory of weak and electromagnetic interactions, and finally
to a non abelian gauge theory of strong interactions with the
notion of permanently confined quarks. The. early theoretical work
on gauge theories was devoted to proofs of renormalizability,
investigation of short distance behaviour, the discovery of
asymptotic freedom, etc . ., aspects which were accessible to tools
extrapolated from renormalised perturbation theory. The second
phase of the subject is concerned with the problem of quark
confinement which necessitates a non-perturbative understanding of
gauge theories. This phase has so far been marked by the introduc
tion of ideas from geometry, topology and statistical mechanics in
particular the theory of phase transitions. The 1979 Cargese
Institute on "Recent Developments on Gauge Theories" was devoted to
a thorough discussion of these non-perturbative, global aspects of
non-abelian gauge theories. In the lectures and seminars reproduced
in this volume the reader wilf find detailed reports on most of the
important developments of recent times on non perturbative gauge
fields by some of the leading experts and innovators in this field.
Aside from lectures on gauge fields proper, there were lectures on
gauge field concepts in condensed matter physics and lectures by
mathematicians on global aspects of the calculus of variations, its
relation to geometry and topology, and related topics."
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