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

Journal Article · Mon Feb 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.1656· OSTI ID:6890708

Bizon, P ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Wien, Boltzmanngasse 5, A-1090 Vienna (Austria)

The coupling of a dilaton to the SU(2)-Yang-Mills field leads to interesting nonperturbative static spherically symmetric solutions which are studied by mixed analytical 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 non-Abelian sector there exists a countable family of globally regular solutions which are purely magnetic but have a 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 an 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.

• OSTI ID: 6890708
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:4; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
HIGGS MODEL
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICS
MONOPOLES
NUMERICAL ANALYSIS
PARTICLE MODELS
POSTULATED PARTICLES
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
YANG-MILLS THEORY