Removable singularities for solutions of coupled Yang-Mills-Dirac equations

2006 ◽  
Vol 47 (10) ◽  
pp. 103502 ◽  
Author(s):  
Wei Li
Keyword(s):  
Yang Mills ◽  
Dirac Equations ◽  
Removable Singularities

scholarly journals Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

2019 ◽  
Vol 22 (01) ◽  
pp. 1950001 ◽  
Author(s):  
Boris O. Volkov
Keyword(s):  
Differential Operators ◽  
Equations Of Motion ◽  
Parallel Transport ◽  
System Of Differential Equations ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Dirac Equations ◽  
Lévy Laplacian ◽  
Higgs Fields

We study the Lévy infinite-dimensional differential operators (differential operators defined by the analogy with the Lévy Laplacian) and their relationship to the Yang–Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional analogue of chiral fields and show that it is a solution to the system of differential equations if and only if the associated connection is a solution to the Yang–Mills equations. This system is an analogue of the equations of motion of chiral fields and contains the Lévy divergence. The systems of infinite-dimensional equations containing Lévy differential operators, that are equivalent to the Yang–Mills–Higgs equations and the Yang–Mills–Dirac equations (the equations of quantum chromodynamics), are obtained. The equivalence of two ways to define Lévy differential operators is shown.

Dirac equations for generalised Yang-Mills systems

1985 ◽  
Vol 162 (1-3) ◽  
pp. 143-147 ◽  
Author(s):  
O. Lechtenfeld ◽  
W. Nahm ◽  
D.H. Tchrakian
Keyword(s):  
Yang Mills ◽  
Dirac Equations

scholarly journals SO(4) Reduction of the SU(N) Yang–Mills–Dirac equations

1986 ◽  
Vol 27 (2) ◽  
pp. 620-626 ◽  
Author(s):  
M. Légaré ◽  
J. Harnad
Keyword(s):  
Yang Mills ◽  
Dirac Equations

Removable singularities of coupled Yang-Mills fields inR 3

1984 ◽  
Vol 93 (1) ◽  
pp. 1-17 ◽  
Author(s):  
L. M. Sibner ◽  
R. J. Sibner
Keyword(s):  
Yang Mills ◽  
Removable Singularities
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