Euclidean 4d exact solitons in a Skyrme type model

Details Euclidean 4d exact solitons in a Skyrme type model Euclidean 4d exact solitons in a Skyrme type model

2004-06-24

arxiv.org/abs/hep-th/0406227v2

Phys.Lett. B606 (2005) 417-422

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 eps figure, plain latex, Comments on a possible connection with the low energy limit of pure SU(2) Yang-Mills theor

Scientific paper

10.1016/j.physletb.2004.11.078

We introduce a Skyrme type, four dimensional Euclidean field theory made of a triplet of scalar fields n, taking values on the sphere S^2, and an additional real scalar field phi, which is dynamical only on a three dimensional surface embedded in R^4. Using a special ansatz we reduce the 4d non-linear equations of motion into linear ordinary differential equations, which lead to the construction of an infinite number of exact soliton solutions with vanishing Euclidean action. The theory possesses a mass scale which fixes the size of the solitons in way which differs from Derrick's scaling arguments. The model may be relevant to the study of the low energy limit of pure SU(2) Yang-Mills theory.

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