The basis of the physical Hilbert space of lattice gauge theories

Details The basis of the physical Hilbert space of lattice gauge theories The basis of the physical Hilbert space of lattice gauge theories

1999-06-28

arxiv.org/abs/hep-lat/9906036v1

Nucl.Phys. B566 (2000) 547-561

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, LaTeX (Using amsmath)

Scientific paper

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.

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