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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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The O(N) symmetric (ϕ2)2 field theory in the large N limit

The O(N) symmetric (ϕ2)2 field theory in the large N limit

Chapter:
(p.329) 14 The O(N) symmetric (ϕ2)2 field theory in the large N limit
Source:
Phase Transitions and Renormalization Group
Author(s):

Jean Zinn-Justin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199227198.003.0014

This chapter studies a statistical field theory with an O(N) orthogonal symmetry and a (f2)2 interaction (denoted here by f = (f1, . . . , fN) the N-component field rather than s, in contrast with previous chapters), at fixed dimension, in the framework of another approximation scheme, the N approaching the 8 limit. The results confirm the universal properties derived in the framework of the formal e-expansion.

Keywords:   statistical field theory, O(N) orthogonal symmetry, renormalization group, e-expansion

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