scholarly journals On the Static and Spherically Symmetric Solutions of the Yang-Mills Field

1962 ◽  
Vol 27 (3) ◽  
pp. 474-482 ◽  
Author(s):  
Mineo Ikeda ◽  
Yoshihiko Miyachi

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.


1994 ◽  
Vol 09 (40) ◽  
pp. 3731-3739 ◽  
Author(s):  
GEORGE LAVRELASHVILI

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.


1970 ◽  
Vol 48 (2) ◽  
pp. 225-228 ◽  
Author(s):  
Leopold Halpern ◽  
Milivoj J. Miketinac

Møller's tetrad energy–momentum complex is made unique by introducing a suitable Yang–Mills field. The field equations are given and solved approximately for the spherically symmetric case. The simplest couplings to the K0 meson field are analyzed and it is shown that they cannot be used to resolve the CP violation.


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