Monopoles in Lattice QCD with Abelian Projection as Quantum Monopoles

Details Monopoles in Lattice QCD with Abelian Projection as Quantum Monopoles Monopoles in Lattice QCD with Abelian Projection as Quantum Monopoles

2002-01-22

arxiv.org/abs/hep-lat/0201018v1

Hadronic J. 26 (2003) 539-552

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 3 figures

Scientific paper

Within the context of the Abelian Projection of QCD monopole-like quantum excitations of gauge fields are studied. We start with certain classical solutions, of the SU(2) Yang-Mills field equations, which are not monopole-like and whose energy density diverges as $r \to \infty$. These divergent classical solutions are then quantized using a modified version of Heisenberg's quantization technique for strongly interacting, nonlinear fields. The modified Heisenberg quantization technique leads to a system of equations with mixed quantum and classical degrees of freedom. By applying a Feynman path integration over the quantum degrees of freedom the quantum-averaged solution gives a nondivergent, monopole-like configuration after Abelian Projection.

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