Pseudo-Character Expansions for U(N)-Invariant Spin Models on CP^{N-1}

Andrea Pelissetto; Attilio Cucchieri; Tereza Mendes

arxiv: hep-lat/9810027 · v1 · submitted 1998-10-13 · ✦ hep-lat · cond-mat

Pseudo-Character Expansions for U(N)-Invariant Spin Models on CP^(N-1)

Attilio Cucchieri , Tereza Mendes , Andrea Pelissetto This is my paper

classification ✦ hep-lat cond-mat

keywords expansionsinvariantmodelsspinclassclebsch-gordancoefficientscomplex

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We define a set of orthogonal functions on the complex projective space CP^{N-1}, and compute their Clebsch-Gordan coefficients as well as a large class of 6-j symbols. We also provide all the needed formulae for the generation of high-temperature expansions for U(N)-invariant spin models defined on CP^{N-1}.

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Pseudo-Character Expansions for U(N)-Invariant Spin Models on CP^(N-1)

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