The O(N) symmetric field theory in the large N limit
This chapter studies a statistical field theory with an O(N) orthogonal symmetry and a (φ2)2 interaction (denoted here by φ = (φ1, . . . , φN) the N-component field rather than σ, in contrast with previous chapters), at fixed dimension, in the framework of another approximation scheme, the N approaching the ∞ limit. The results confirm the universal properties derived in the framework of the formal ε-expansion.
Keywords: statistical field theory, O(N) orthogonal symmetry, renormalization group, ε-expansion
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