English

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

High Energy Physics - Lattice 2007-05-23 v1 Condensed Matter

Abstract

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}.

Keywords

Cite

@article{arxiv.hep-lat/9810027,
  title  = {Pseudo-Character Expansions for U(N)-Invariant Spin Models on CP^{N-1}},
  author = {Attilio Cucchieri and Tereza Mendes and Andrea Pelissetto},
  journal= {arXiv preprint arXiv:hep-lat/9810027},
  year   = {2007}
}

Comments

24 pages, no figures