Compact Hermitian Young Projection Operators
arXiv:1610.10088 · doi:10.1063/1.4983478
Abstract
In this paper, we describe a compact and practical algorithm to construct Hermitian Young projection operators for irreducible representations of the special unitary group SU(N), and discuss why ordinary Young projection operators are unsuitable for physics applications. The proof of this construction algorithm uses the iterative method described by Keppeler and Sjödahl. We further show that Hermitian Young projection operators share desirable properties with Young tableaux, namely a nested hierarchy when "adding a particle". We end by exhibiting the enormous advantage of the Hermitian Young projection operators constructed in this paper over those given by Keppeler and Sjödahl.
arXiv comment48 pages, discussion of Littlewood corrected Young projectors added. Main results unaffected
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- Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory