scholarly journals Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations

2010 ◽  
Vol 51 (3) ◽  
pp. 032504 ◽  
Author(s):  
Robert Bartnik ◽  
Mark Fisher ◽  
Todd A. Oliynyk
Keyword(s):  
Spherically Symmetric ◽  
Yang Mills ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

scholarly journals FERMIONS IN THE BACKGROUND OF DILATONIC SPHALERONS

1994 ◽  
Vol 09 (40) ◽  
pp. 3731-3739 ◽  
Author(s):  
GEORGE LAVRELASHVILI
Keyword(s):  
Gauge Field ◽  
Field Potential ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Zero Modes ◽  
Discrete Sequence ◽  
Number Of Zeros ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills dilaton theory. This sequence is parametrized by the number of zeros, n, of a component of the gauge field potential. It is demonstrated that solutions with odd n possess all the properties of the sphaleron. It is shown that there are normalizable fermion zero modes in the background of these solutions. The question of instability is critically analyzed.

Static spherically symmetric solutions of a Yang–Mills field coupled to a dilaton

1995 ◽  
Vol 449 (1937) ◽  
pp. 479-491 ◽  
Keyword(s):  
Boundary Conditions ◽  
Analytical Study ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Local Maxima ◽  
Shooting Argument ◽  
Spherically Symmetric Solutions ◽  
Countable Infinity ◽  
Mills Field ◽  
Static Spherically Symmetric Solutions

We give a detailed analytical study of static spherically symmetric solutions for an SU (2) Yang–Mills field coupled to a scalar graviton (or dilaton). We show by a ‘shooting’ argument that there are a countable infinity of such solutions satisfying the relevant boundary conditions, there being at least one for each given number of local maxima and minima for the Yang-Mills potential.

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