先ほど薮中氏(京大)の慶応大でのセミナーのご案内をしましたが、Titleのまえに3Dとついてしまい、
Abstractが途中でとぎれてしまいました。理由は不明ですが、不手際をおわびします。Abstract再送します。 藤谷洋平(慶應)
It is by now widely believed that everything is known about the criticality of the O(N) models either exactly or with an accuracy that is limited only by our finite computational ability. For the Wilson-Fisher fixed point, almost all the theoretical formalisms have been tested and they all yield consistent result. However, for the multicritical fixed points, the situation is less clear. For example, a nontrivial multicritical fixed point with two unstable directions branches from the Gaussian fixed point at d=3 dimension, below which (¥phi^2)^3 term becomes relevant. The same scenario also repeats in each critical dimension d_n=2+2/n: a nontrivial multicritical fixed point with n unstable directions branches from the Gaussian fixed point. However, in the large N limit, only the gaussian and WF fixed points have been found in generic dimension 2