198 research outputs found
Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) model in three
dimensional space up to fourth-order in the first derivative is regarded as a
low-energy effective theory of SU(2) Yang-Mills theory. One can show from the
Wilsonian renormalization group argument that the effective action of
Yang-Mills theory recovers the SFN in the infrared region. However, the theory
contains an additional fourth-order term which destabilizes the soliton
solution. We apply the perturbative treatment to the second derivative term in
order to exclude (or reduce) the ill behavior of the original action and show
that the SFN model with the second derivative term possesses soliton solutions.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
Monopole Black Hole Skyrmions
Charged black hole solutions with pion hair are discussed. These can be used
to study monopole black hole catalysis of proton decay. There also exist multi-
black hole skyrmion solutions with BPS monopole behavior.Comment: 16 pages including 6 figure
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