scholarly journals STATIC SPHERICALLY SYMMETRIC SELF-DUAL SOLUTIONS OF THE YANG-MILLS FIELD EQUATION AND 'THOOFT-POLYAKOV MONOPOLES DISTRIBUTED CONTINUOUSLY ON A SPHERE

1981 ◽  
Vol 30 (10) ◽  
pp. 1406
Author(s):  
WU YONG-SHI ◽  
SHENG YOU-GEN
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.


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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