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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Introduction to the Functional Renormalization Group (Paperback, 2010 ed.)
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Introduction to the Functional Renormalization Group (Paperback, 2010 ed.)
Series: Lecture Notes in Physics, 798
Expected to ship within 10 - 15 working days
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The renormalization group (RG) has nowadays achieved the status of
a meta-theory, which is a theory about theories. The theory of the
RG consists of a set of concepts and methods which can be used to
understand phenomena in many different ?elds of physics, ranging
from quantum ?eld theory over classical statistical mechanics to
nonequilibrium phenomena. RG methods are particularly useful to
understand phenomena where ?uctuations involving many different
length or time scales lead to the emergence of new collective
behavior in complex many-body systems. In view of the diversity of
?elds where RG methods have been successfully applied, it is not
surprising that a variety of apparently different implementations
of the RG idea have been proposed. Unfortunately, this makes it
somewhat dif?cult for beginners to learn this technique. For
example, the ?eld-theoretical formulation of the RG idea looks at
the ?rst sight rather different from the RG approach pioneered by
Wilson, the latter being based on the concept of the effective
action which is ite- tively calculated by successive elimination of
the high-energy degrees of freedom. Moreover, the Wilsonian RG idea
has been implemented in many different ways, depending on the
particular problem at hand, and there seems to be no canonical way
of setting up the RG procedure for a given problem.
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