Critical Exponents and Scaling Relations in 1/n Expansion. II : Classical n-Vector Model with Short-Range Interaction
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概要
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The critical exponents δ and Δ are derived in powers of 1/n to first order for the n-vector model with short range interactions. Scaling relations α=2+γ-Δ, δ=(d+2-η)/(d-2+η) and δ=Δ/(Δ-2γ) are confirmed exactly up to order 1/n. By considering successive derivatives of magnetization with respect to external field and temperature, the equations of state above the critical point M=Σ^∞_<m=1>c_mε^<-γ-(m-1)Δ>H^<2m-1> and M=Σ^∞_<m=0>a_mH^<1-2(γ+m)/Δ>ε^m are confirmed up to order 1/n.
- 理論物理学刊行会の論文
- 1973-04-25
著者
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Hikami Shinobu
Department Of Pure And Applied Sciences University Of Tokyo
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Hikami Shinobu
Department Of Basic Sciences University Of Tokyo
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