Journal ArticleDOI
Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
TLDR
A complete system of equations describing the interaction between the Yang-Mills field and isotopic-spin-carrying particles in the classical limit is extracted from the equations of motion for the quantum fields.Abstract:
A complete system of equations describing the interaction between the Yang-Mills field and isotopic-spin-carrying particles in the classical limit is extracted from the equations of motion for the quantum fields. Some simple consequences are derived. The consistency of the equations is investigated.read more
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Action principle and equations of motion for nonabelian monopoles
TL;DR: In this paper, a closed set of equations for nonabelian monopoles were obtained, which are analogous to the Maxwell and Lorentz equations, and bear also a formal resemblance to the Wong equations for a “classical” point source of Yang-Mills fields.
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Colour and Higgs charges in G/H Kaluza-Klein theory
TL;DR: In this article, the Higgs charge is shown to be of a nonlinear nature and may contribute to the colour charge non-conservation in a multidimensional universe with G-invariant metric.
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Classical Yang-Mills field generated by two colored point charges
TL;DR: In this article, an exact retarded solution to the classical Yang-Mills equations with the source composed of two arbitrarily moving colored point charges is given, which is stable against small field disturbances hence for the role of the nonperturbative gluon vacuum.
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The Continual Approach in the Yang‐Mills Theory in the External Non‐Abelian Field
E.S. Fradkin,Sh. M. Shvàrtsman +1 more
TL;DR: In this article, the theory of Yang-Mills field in interaction with matter fields is considered in the presence of external gauge field and a closed expression for the generating functional of the Green functions is obtained.
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Non-Abelian Generalization of Electric-Magnetic Duality — a Brief Review
Hong-Mo Chan,Sheung Tsun Tsou +1 more
TL;DR: In this paper, a loop space formulation of Yang-Mills theory highlighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the non-Abelian theory, which implies that the gauge symmetry is doubled from SU(N) to, while the physical degrees of freedom remain the same.
References
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Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
TL;DR: In this article, it was pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields, and the possibility of having invariance in local isotope spin rotations was explored.
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