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Ward Identities for Invariant Group Integrals

High Energy Physics - Theory 2016-11-24 v2 General Relativity and Quantum Cosmology High Energy Physics - Lattice Mathematical Physics math.MP

Abstract

We derive two types of Ward identities for the generating functions for invariant integrals of monomials of the fundamental characters for arbitrary simple compact Lie groups. The results are applied to the groups SU(3), Spin(5) and G_2 of rank 2 as well as SU(4).

Keywords

Cite

@article{arxiv.hep-th/0611170,
  title  = {Ward Identities for Invariant Group Integrals},
  author = {S. Uhlmann and R. Meinel and A. Wipf},
  journal= {arXiv preprint arXiv:hep-th/0611170},
  year   = {2016}
}

Comments

31 pages, 3 figures, LaTeX corrected typos