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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Nonperturbative Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1988)
Loot Price: R1,620
Discovery Miles 16 200
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Nonperturbative Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1988)
Series: NATO Science Series B:, 185
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During the past 15 years, quantum field theory and classical
statistical mechanics have merged into a single field, and the need
for nonperturbative methods for the description of critical
phenomena in statistical mechanics as well as for problems in
elementary particle physics are generally acknowledged. Such
methods formed the central theme of the 1987 Cargese Advanced Study
Institut. e on "Nonpert. urbat. ive Quantum Field Theory. " The use
of conformal symmet. ry has been of central interest in recent
years, and was a main subject at. t. he ASI. Conformal invariant
quantum field theory describes statistical mechanical systems
exactly at a critical point, and can be analysed to a remarkable
ext. ent. by group t. heoretical methods. Very strong results have
been obtained for 2-dimensional systems. Conformal field theory is
also the basis of string theory, which offers some hope of
providing a unified t. heory of all interactions between elementary
particles. Accordingly, a number of lectures and seminars were
presented on these two topics. After syst. ematic introductory
lectures, conformal field theory on Riemann surfaces, orbifolds,
sigma models, and application of loop group theory and
Grassmannians were discussed, and some ideas on modular geometry
were presented. Other lectures combined' traditional techniques of
constructive quant. um field theory with new methods such as the
use of index-t. heorems and infinite dimensional (Kac Moody)
symmetry groups. The problems encountered in a quantum mechanical
description of black holes were discussed in detail.
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