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
Keyword(s):  
Spherically Symmetric ◽  
Yang Mills ◽  
Spherically Symmetric Solutions ◽  
Mills Field

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.

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.

On the uniqueness of the Møller energy–momentum complex

1970 ◽  
Vol 48 (2) ◽  
pp. 225-228 ◽  
Author(s):  
Leopold Halpern ◽  
Milivoj J. Miketinac
Keyword(s):  
Cp Violation ◽  
Symmetric Case ◽  
Spherically Symmetric ◽  
Meson Field ◽  
Field Equations ◽  
Yang Mills ◽  
Momentum Complex ◽  
Mills Field

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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