Renormalization Group
Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group
methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics, the scalar quantum field
theories in two and three space-time dimensions, and Tomonaga's theory of the ground state of one-dimensional Fermi systems. Les mer
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875,-
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Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group
methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory
in classical statistical mechanics, the scalar quantum field theories in two and three space-time dimensions, and Tomonaga's
theory of the ground state of one-dimensional Fermi systems. The dimension dependence is discussed together with the related
existence of anomalies (in Tomonaga's theory and in 4 -e dimensions for the critical point). The theory of Bose condensation
at zero temperature in three space dimensions is also considered. Attention is focused on results that can in principle be
formally established from a mathematical point of view. The 4 -e dimensions theory, Bose condensation, as well as a few other
statements are exceptions to this rule, because no complete treatment is yet available. However, the truly mathematical details
are intentionally omitted and only referred to. This is done with the purpose of stressing the unifying conceptual structure
rather than the technical differences or subtleties.
- FAKTA
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Utgitt:
2020
Forlag: Princeton University Press
Språk: Engelsk
Sider: 140
ISBN: 9780691221694
Format: PDF
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