Journal
NUCLEAR PHYSICS B
Volume 566, Issue 3, Pages 547-561Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(99)00533-7
Keywords
harmonic analysis; Lie groups; Hamiltonian lattice gauge theories; Mandelstam identities
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Non-linear Fourier analysis on compact groups is used to construct an orthonormal basis of the physical (gauge invariant) Hilbert space of Hamiltonian lattice gauge theories. In particular, the matrix elements of the Hamiltonian operator involved are explicitly computed. Finally, some applications and possible developments of the formalism are discussed. (C) 2000 Elsevier Science B.V. All rights reserved.
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