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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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Particles with non abelian charges

TL;DR: In this paper, the Grassmann variables are used to take into account color degrees of freedom, which are known to produce reducible representations of the color group, and then they couple with a U(1) gauge field defined on the worldline, together with a Chern-Simons term to achieve projection on an irreducible representation.
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Classical Yang-Mills observables from amplitudes

TL;DR: In this paper, the authors studied the classical dynamics of colour-charged particle scattering from the perspective of amplitudes, rather than equations of motion, and explained how to compute the change of colour and the radiation of colour, during a classical collision.
Journal ArticleDOI

Non-Abelian gauge field optics.

TL;DR: Synthetic SU(2) non-Abelian gauge fields in anisotropic media are demonstrated, which allows the study of novel optical phenomena not found in Abelian synthetic gauge field systems.
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Constructing phase space distributions with internal symmetries

TL;DR: In this paper, an ab initio world-line approach to construct phase space distributions in systems with internal symmetries is discussed. But the results for the Liouville distribution with both spin and color are of interest in fields as diverse as chiral fluids, finite temperature field theory and polarized parton distribution functions.
Journal ArticleDOI

Interference, gravity and gauge fields

TL;DR: In this article, it was shown that there exists a phase shift due to the coupling of spin to space-time curvature, analogous to the Aharonov-Bohm effect.
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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