Towards a Many - Body Treatment of Hamiltonian Lattice SU ( N ) Gauge Theory
نویسندگان
چکیده
We develop a consistent approach to Hamiltonian lattice gauge theory, using the maximal-tree gauge. The various constraints are discussed and implemented. An independent and complete set of variables for the colourless sector is determined. A general scheme to construct the eigenstates of the electric energy operator using a symbolic method is described. It is shown how the one-plaquette problem can be mapped onto a N-fermion problem. Explicit solutions for U (1), SU (2), SU (3), SU (4), and SU (5) lattice gauge theory are shown.
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تاریخ انتشار 2008