Vanishing Next-to-Leading Corrections to the \beta-Function of the SUSY CP^{N-1} Model in Three Dimensions

We study the ultraviolet properties of the supersymmetric CP^{N-1} sigma model in three dimensions to next-to-leading order in the 1/N expansion. We calculate the \beta-function to this order and verify that it has no next-to-leading order corrections.Comment: 8 pages, 1 figure, the renormalization constant of the field alpha is correcte

統合失調症GWAS(全ゲノム関連解析)データに基づく日本人集団での追試ならびにクロスフェノタイプ研究 : 精神病とMHC領域の関連性を支持

藤田保健衛生大

The Thermal Expansion Coefficients and the Temperature Coefficients of Young\u27s Modulus of the Alloys of Iron and Palladium

The density ρ, Young\u27s modulus E, the coefficient of linear thermal expansion α, and the temperature coefficient of Young\u27s modulus e were measured with alloys of iron and palladium cooled down in a furnace after heating at 1000℃to ascertain whether a theory of Invar established previously by one of the present investigators is valid in the above alloy system or not. It was found that the both curves of ρ and of E to the alloying concentration showed a slight bend at the composition of about 30 at% of palladium, and also α showed its minimum value of +8.9×10^ and e its conspicuous positive maximum of +139.9×10^ at 30 at% of palladium. The alloy containing 30 at% of palladium consists almost of the γ phase after furnace cooling, but when it was cooled slower than 30°/hr from 800℃, the γ phase decreased reaching zero at the rate of 5°/hr, accompanying an increase of α to +12.3×10^, and a decrease of e to -12.5×10^, both in the order of usual alloys. According to these results, it can be confirmed that the theory of Invar mentioned above is also valid in the iron and palladium system under all conditions

Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three Dimensions

We study the UV properties of the three-dimensional ${\cal N}=4$ SUSY nonlinear sigma model whose target space is $T^*(CP^{N-1})$ (the cotangent bundle of $CP^{N-1}$) to higher orders in the 1/N expansion. We calculate the $\beta$-function to next-to-leading order and verify that it has no quantum corrections at leading and next-to-leading orders.Comment: 10 pages, 2 figures. references adde