Critical phenomena in random field vector models near four dimensions

[目次]

  • Contents / p1
  • 1 Introduction / p1
  • 2 Review of the random field vector model / p4
  • 2.1 Order of the phase transition / p4
  • 2.2 Critical exponents and the relations among them / p5
  • 2.3 Replica method,replica symmetry breaking and the breakdown of the dimensional reduction / p7
  • 3 Critical phenomena of the random field Ising model near the upper critical dimension / p10
  • 3.1 Derivation of the model / p12
  • 3.2 Instability of the replica symmetric fixed point near the upper critical dimension / p15
  • 3.3 Coupling dependence of the free-energy / p18
  • 3.4 Redefinition of the coupling constants / p21
  • 3.5 The ∊-expansion near six dimensions / p22
  • 4 1/N-expansion of the random field vector model near four dimensions / p25
  • 4.1 Review of the 1/N-expansion of the random field vector model / p26
  • 4.2 Repulsive coupling ɡ>0 / p30
  • 4.3 Attractive coupling ɡ<0 / p35
  • 5 Renormalization group study of the random field O(N) nonlinear σ model near four dimensions / p40
  • 5.1 Derivation of the model / p41
  • 5.2 Renormalization group of random field O(N) nonlinear σ model in 4+∊ dimensions / p42
  • 5.3 Renormalization group of random field O(N) nonlinear σ model with replica mixing term in 4+∊ dimensions / p46
  • 6 Conclusion and future problems / p51
  • A Second order perturbation of the replica φ⁴ model / p54

「国立国会図書館デジタルコレクション」より

この本の情報

書名 Critical phenomena in random field vector models near four dimensions
著作者等 Yoshinori Sakamoto
坂元 啓紀
書名別名 ランダム磁場ベクトル模型の4次元近傍における臨界現象
刊行年月 2001
言語 英語
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