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FluctuationsGoing beyond the saddle pointS(Ψ) = S(ψ 0 ) + ∂2 S∂ψ2δψδψ + h.o.t.Higher order terms do NOT have to vanish in thethermodynamic limitGive corrections to critical exponentsm ∝ |T − T c | βSaddle point gave β = 1/2 (exact β = 1/8)This story is beyond our scope . ..