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Phase Transitions and Renormalization Group$
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Jean Zinn-Justin

Print publication date: 2007

Print ISBN-13: 9780199227198

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199227198.001.0001

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Perturbative renormalization group: Explicit calculations

Perturbative renormalization group: Explicit calculations

(p.243) 10 Perturbative renormalization group: Explicit calculations
Phase Transitions and Renormalization Group

Jean Zinn-Justin

Oxford University Press

This chapter uses the assumptions introduced in Chapter 9 to show that it is indeed possible to find a non-Gaussian fixed point in dimension d = 4 - e, both in models with reflection and rotation symmetries. It briefly introduces the field theory methods that will be described more thoroughly in the following chapters. Finally, it presents a selection of numerical results concerning critical exponents and some universal amplitude ratios.

Keywords:   non-Gaussian fixed point, Hamiltonian expansion, perturbative expansion, Feynman diagrams, renormalization group

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