Monopole condensates in SU(N) Yang-Mills theory
Aug, 1998Citations per year
Abstract:
Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of new variables, appropriate for describing the theory in its infrared limit based on the intuitive picture of colour confinement due to monopole condensation. I generalize their proposal (with some differences) to SU(N) Yang-Mills theory. The natural variables are mutually commuting traceless Hermitian matrices, an element of the maximal torus defined by these commuting matrices, Abelian gauge fields for the maximal torus gauge group, and an invariant symmetric two-index tensor on the tangent space of the maximal torus, adding up to the requisite 2 physical degrees of freedom.- gauge field theory: SU(N)
- monopole: condensation
- moduli space
- transformation: gauge
- field theory: deformation
- Hamiltonian formalism
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