Saddle point solutions in Yang-Mills-dilaton theory

Details Saddle point solutions in Yang-Mills-dilaton theory Saddle point solutions in Yang-Mills-dilaton theory

1992-09-26

arxiv.org/abs/hep-th/9209106v1

Phys.Rev.D47:1656-1663,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1103/PhysRevD.47.1656

The coupling of a dilaton to the $SU(2)$-Yang-Mills field leads to interesting non-perturbative static spherically symmetric solutions which are studied by mixed analitical and numerical methods. In the abelian sector of the theory there are finite-energy magnetic and electric monopole solutions which saturate the Bogomol'nyi bound. In the nonabelian sector there exist a countable family of globally regular solutions which are purely magnetic but have zero Yang-Mills magnetic charge. Their discrete spectrum of energies is bounded from above by the energy of the abelian magnetic monopole with unit magnetic charge. The stability analysis demonstrates that the solutions are saddle points of the energy functional with increasing number of unstable modes. The existence and instability of these solutions are "explained" by the Morse-theory argument recently proposed by Sudarsky and Wald.

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