Pseudo-Character Expansions for U(N)-Invariant Spin Models on CPN-1
Attilio Cucchieri, Tereza Mendes, Andrea Pelissetto
Abstract
We define a set of orthogonal functions on the complex projective space CPN-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 CPN-1.
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