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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1992)
Loot Price: R3,250
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Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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Simple random walks - or equivalently, sums of independent random
vari ables - have long been a standard topic of probability theory
and mathemat ical physics. In the 1950s, non-Markovian random-walk
models, such as the self-avoiding walk, were introduced into
theoretical polymer physics, and gradu ally came to serve as a
paradigm for the general theory of critical phenomena. In the past
decade, random-walk expansions have evolved into an important tool
for the rigorous analysis of critical phenomena in classical spin
systems and of the continuum limit in quantum field theory. Among
the results obtained by random-walk methods are the proof of
triviality of the cp4 quantum field theo ryin space-time dimension
d (:::: ) 4, and the proof of mean-field critical behavior for cp4
and Ising models in space dimension d (:::: ) 4. The principal goal
of the present monograph is to present a detailed review of these
developments. It is supplemented by a brief excursion to the theory
of random surfaces and various applications thereof. This book has
grown out of research carried out by the authors mainly from 1982
until the middle of 1985. Our original intention was to write a
research paper. However, the writing of such a paper turned out to
be a very slow process, partly because of our geographical
separation, partly because each of us was involved in other
projects that may have appeared more urgent.
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