Appearance of Essential Singularity in the Analytically Regularized 1/N Expansion
Tsuneo Suzuki, Hisashi Yamamoto · Progress of Theoretical Physics · 1986
It is shown that analytic regularization gives rise to an essential singularity of the same kind as that of dimensional regularization when used in the 1/N expansion of O(N)(φ2)2d=4. Such a singularity appears in models having linear or quadratic divergences in the next-to-leading order of the 1/N expansion.