# 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

This chapter studies a statistical field theory with an *O*(*N*) orthogonal symmetry and a (f^{2})^{2} interaction (denoted here by f = (f_{1}, . . . , f_{N}) 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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