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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Introduction to a Renormalisation Group Method (Paperback, 1st ed. 2019)
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Introduction to a Renormalisation Group Method (Paperback, 1st ed. 2019)
Series: Lecture Notes in Mathematics, 2242
Expected to ship within 10 - 15 working days
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This is a primer on a mathematically rigorous renormalisation group
theory, presenting mathematical techniques fundamental to
renormalisation group analysis such as Gaussian integration,
perturbative renormalisation and the stable manifold theorem. It
also provides an overview of fundamental models in statistical
mechanics with critical behaviour, including the Ising and 4 models
and the self-avoiding walk. The book begins with critical behaviour
and its basic discussion in statistical mechanics models, and
subsequently explores perturbative and non-perturbative analysis in
the renormalisation group. Lastly it discusses the relation of
these topics to the self-avoiding walk and supersymmetry. Including
exercises in each chapter to help readers deepen their
understanding, it is a valuable resource for mathematicians and
mathematical physicists wanting to learn renormalisation group
theory.
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