Phase Structure of a Three-Dimensional Yukawa Model(Particles and Fields)

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概要

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• We use the method of the exact renormalization group to study the renormalization group flows of an O(N) invariant Yukawa model in three-dimensional Euclidean space consisting of one real scalar and N real spinor fields. We obtain a phase structure similar to that of the N-vector model with cubic anisotropy, possessing a region of parameters exhibiting a first order transition. The particular case with one real fermion (N=1) belongs to the same universality class as the Wess-Zumino model with one supersymmetry. For the critical exponents of the Wilson-Fisher type fixed points, our 1-loop approximations are generally consistent with the results of previous studies.

• 2011-07-25

著者

• Sonoda Hidenori

  Physics Department Kobe University

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