References

Group theory and Clebsch-Gordan coefficients

• M. Baake, B. Gemünden and R. Oedingen, Structure and representations of the symmetry group of the four-dimensional cube, J. Math. Phys. 23, 944–953 (1982); Erratum: J. Math. Phys. 23, 2595 (1982), doi:10.1063/1.525461. The irreps, character table and generator matrices of ${H(4)}$ used by h4lat. For the irrep ${\tau^{(2)}_2}$, h4lat uses a different generator ${\alpha}$: see The hypercubic group.
• I. Sakata, A general method for obtaining Clebsch-Gordan coefficients of finite groups. I. Its application to point and space groups, J. Math. Phys. 15, 1702–1709 (1974), doi:10.1063/1.1666528. The projection formula used to compute the Clebsch-Gordan coefficients.
• H. F. Jones, Groups, Representations and Physics (Adam Hilger, Bristol, 1990). Background on finite groups, representations and characters.

Lattice operators

• M. Göckeler, R. Horsley, E.-M. Ilgenfritz, H. Perlt, P. E. L. Rakow, G. Schierholz and A. Schiller, Lattice operators for moments of the structure functions and their transformation under the hypercubic group, Phys. Rev. D 54, 5705–5714 (1996), doi:10.1103/PhysRevD.54.5705, arXiv:hep-lat/9602029. The classification of the operators ${\bar\psi \, \Gamma \, D \cdots D \, \psi}$ under ${H(4)}$ and C-parity, and their mixing under renormalisation.

Operators used in published works

The papers whose operators get_paper_operators returns are listed, with their DOIs and arXiv numbers, on the page Operators from the literature.

Citing h4lat

If you use h4lat in your research, please cite it, and give the version you used (h4lat.__version__). The DOI 10.5281/zenodo.23598681 covers all the versions and leads to the latest one. The BibTeX entry is in the README, and the "Cite this repository" button on the GitHub page gives the reference in APA and BibTeX form.