Toward a many-body treatment of Hamiltonian lattice SU(N) gauge theory

N. E. Ligterink; Niels R. Walet; R. F. Bishop

doi:10.1006/aphy.2000.6070

Toward a many-body treatment of Hamiltonian lattice SU(N) gauge theory

N. E. Ligterink, Niels R. Walet, R. F. Bishop

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Abstract

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 an N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown.

Original language	English
Pages (from-to)	215-262
Number of pages	48
Journal	Annals of Physics
Volume	284
DOIs	https://doi.org/10.1006/aphy.2000.6070
Publication status	Published - 2000

Keywords

2-DIMENSIONAL QCD; FIELD-THEORY; REPRESENTATION;

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abstract = "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 an 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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AU - Ligterink, N. E.

AU - Walet, Niels R.

AU - Bishop, R. F.

PY - 2000

Y1 - 2000

N2 - 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 an N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown.

AB - 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 an N-fermion problem. Explicit solutions for U(1), SU(2), SU(3), SU(4), and SU(5) lattice gauge theory are shown.

KW - 2-DIMENSIONAL QCD; FIELD-THEORY; REPRESENTATION;

U2 - 10.1006/aphy.2000.6070

DO - 10.1006/aphy.2000.6070

M3 - Article

VL - 284

SP - 215

EP - 262

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -

Toward a many-body treatment of Hamiltonian lattice SU(N) gauge theory

Abstract

Keywords

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