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The basis of the physical Hilbert space of lattice gauge theories. (English) Zbl 0951.81023

Summary: Nonlinear 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 elementss of the Hamiltonian operator involved are explicitly computed. Finally, some applications and possible developments of the formalism are discussed.

MSC:

81T25 Quantum field theory on lattices
81T13 Yang-Mills and other gauge theories in quantum field theory
81T05 Axiomatic quantum field theory; operator algebras
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References:

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