Fetching the paper…
Reading the bibliography…
Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations.
1906
Earlier work this paper cites.
Georges Voronoi, “Nouvelles applications des paramètres continus à la théorie des formes quadratiques. premier mémoire. sur quelques propriétés des formes quadratiques positives parfaites.” Journal für die reine und angewandte Mathematik (Crelles Journal) 1908
1908
Earlier work this paper cites.
Georges Voronoi, “Nouvelles applications des paramètres continus à la théorie des formes quadratiques. deuxième mémoire. recherches sur les parallélloèdres primitifs.” Journal für die reine und angewandte Mathematik (Crelles Journal) 1908
1908
Earlier work this paper cites.
J. L. Britton, “Lectures on the icosahedron and the solution of equations of the fifth degree by Felix Klein. translated by G. G. Morrice. second revised edition, reprinted. pp. xvi 289. 1.85. 1956. (Dover Publications),” The Mathematical Gazette 42
1958
Earlier work this paper cites.
Patrick Duval, Homographies, quaternions and rotations , Oxford mathematical monographs (Clarendon Press, Oxford, 1964)
1964
Earlier work this paper cites.
Kenneth G. Wilson, “Confinement of Quarks,” Phys. Rev. D 10
1974
Earlier work this paper cites.
John B. Kogut and Leonard Susskind, “Hamiltonian Formulation of Wilson’s Lattice Gauge Theories,” Phys. Rev. D 11
1975
Earlier work this paper cites.
A. Pugh, Polyhedra: A Visual Approach , Dome series (University of California Press, 1976)
1976
Earlier work this paper cites.
R. Balian, J. M. Drouffe, and C. Itzykson, “Gauge Fields on a Lattice. 3. Strong Coupling Expansions and Transition Points,” Phys. Rev. D 11
1979
Cited alongside, same era.
R. Balian, J. M. Drouffe, and C. Itzykson, “Erratum: Gauge fields on a lattice.iii.strong-coupling expansions and transition points,” Phys. Rev. D 19
1979
Cited alongside, same era.
D. Petcher and D. H. Weingarten, “Monte Carlo Calculations and a Model of the Phase Structure for Gauge Theories on Discrete Subgroups of SU(2),” Phys. Rev. D 22
1980
Cited alongside, same era.
G. Bhanot and C. Rebbi, “Monte carlo simulations of lattice models with finite subgroups of su(3) as gauge groups,” Phys. Rev. D 24
1981
Cited alongside, same era.
K. Jansen, J. Jersak, C. B. Lang, T. Neuhaus, and G. Vones, “Phase Structure of Scalar Compact QED,” Nucl. Phys. B 265
1986
T. Frankel, The Geometry of Physics: An Introduction , 3rd ed. (Cambridge University Press, 2012)
2012
Later among the works it cites.
2019
Later among the works it cites.
Bartosz Kostrzewa, Johann Ostmeyer, Martin Ueding, Carsten Urbach, Nikolas Schlage, Markus Werner, Ferenc Pittler, Matthias Fischer, and Vittorio Lubicz, “hadron: package to extract hadronic quantities,” https://github.com/HISKP-LQCD/hadron (2020), R package version 3.1.0
2020
Later among the works it cites.
Manuel Schneider, Johann Ostmeyer, Karl Jansen, Thomas Luu, and Carsten Urbach, “Simulating both parity sectors of the Hubbard Model with Tensor Networks,” Phys. Rev. B 104
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Alan Genz, “Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces,” Journal of Computational and Applied Mathematics 157
2003
Cited alongside, same era.
2005
Cited alongside, same era.
Ulli Wolff (ALPHA), “Monte Carlo errors with less errors,” Comput. Phys. Commun. 156
2007
Cited alongside, same era.
Timo Felser, Simone Notarnicola, and Simone Montangero, “Efficient tensor network ansatz for high-dimensional quantum many-body problems,” Physical Review Letters 126
2021
Later among the works it cites.
2021
Later among the works it cites.
K. Sadri ( https://math.stackexchange.com/users/388484/k-sadri ), “Can the fibonacci lattice be extended to dimensions higher than 3?” Mathematics Stack Exchange, (version: 2021-05-24)
2021
Later among the works it cites.