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- W1889074477 abstract "We have introduced Faddeev-Niemi type variables for static SU(3) Yang-Mills theory. The variables suggest that a non-linear sigma model whose sigma fields take values in SU(3)/(U(1)xU(1)) and SU(3)/(SU(2)xU(1)) may be relevant to infrared limit of the theory. Shabanov showed that the energy functional of the non-linear sigma model is bounded from below by certain functional. However, the Shabanov's functional is not homotopy invariant, and its value can be an arbitrary real number -- therefore it is not a topological charge. Since the third homotopy group of SU(3)/(U(1)xU(1)) is isomorphic to the group of integer numbers, there is a non-trivial topological charge (given by the isomorphism). We apply Novikov's procedure to obtain integral expression for this charge. The resulting formula is analogous to the Whitehead's realization of the Hopf invariant." @default.
- W1889074477 created "2016-06-24" @default.
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- W1889074477 date "2013-11-08" @default.
- W1889074477 modified "2023-09-27" @default.
- W1889074477 title "Integral expression for a topological charge in the Faddeev-Niemi non-linear sigma model" @default.
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