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From Perturbative to Constructive Renormalization (Hardcover)
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From Perturbative to Constructive Renormalization (Hardcover)
Series: Princeton Series in Physics
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The last decade has seen striking progress in the subject of
renormalization in quantum field theory. The old subject of
perturbative renormalization has been revived by the use of
powerful methods such as multiscale decompositions; precise
estimates have been added to the initial theorems on finiteness of
renormalized perturbation theory, with new results on its large
order asymptotics. Furthermore, constructive field theory has
reached one of its major goals, the mathematically rigorous
construction of some renormalizable quantum field theories. For
these models one can in particular investigate rigorously the
phenomenon of asymptotic freedom, which plays a key role in our
current understanding of the interaction among elementary
particles. However, until this book, there has been no pedagogical
synthesis of these new developments. Vincent Rivasseau, who has
been actively involved in them, now describes them for a wider
audience. There are, in fact, common concepts at the heart of the
progress on perturbative and constructive techniques. Exploiting
these similarities, the author uses perturbative renormalization,
which is the more widely known and conceptually simpler of the two
cases, to explain the less familiar but more mathematically
meaningful constructive renormalization. Originally published in
1991. The Princeton Legacy Library uses the latest print-on-demand
technology to again make available previously out-of-print books
from the distinguished backlist of Princeton University Press.
These editions preserve the original texts of these important books
while presenting them in durable paperback and hardcover editions.
The goal of the Princeton Legacy Library is to vastly increase
access to the rich scholarly heritage found in the thousands of
books published by Princeton University Press since its founding in
1905.
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