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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.

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Citations
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Colored, spinning classical particle in an external non-abelian gauge field

TL;DR: In this paper, the authors derived non-relativistic equations of motion for a colored, spinning point-like particle in an external SU(2) gauge field from Dirac equation.
Journal ArticleDOI

Abelian and non-Abelian considerations on compressible fluids with Maxwell-type equations and minimal coupling with the electromagnetic field

TL;DR: In this paper, a Lagrangian for the Lamb vector and the vorticity was constructed, and the equations of motion were discussed, and a basic review for non-Abelian fluids was described in Appendix B.
Journal ArticleDOI

From the Dyson–Schwinger to the transport equation in the background field gauge of QCD

TL;DR: In this article, a functional approach to the Dyson-Schwinger equation is proposed, which treats the non-local and local source terms in the same way, and is applied to a pure gluon plasma.
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QGP collective effects and jet transport

TL;DR: In this article, numerical simulations of the SU(2) Boltzmann-Vlasov equation including both hard elastic particle collisions and soft interactions mediated by classical Yang-Mills fields are presented.
Journal ArticleDOI

The propagator in the generalized Aharonov–Bohm effect

TL;DR: The nonrelativistic propagator was derived by formulating the generalized Aharonov-Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space as discussed by the authors.
References
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Journal ArticleDOI

Conservation of Isotopic Spin and Isotopic Gauge Invariance

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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