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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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Relativistic particle simulation of a coloured parton plasma

TL;DR: In this paper, a relativistic particle-in-cell (PIC) simulation method was proposed for investigating the non-perturbative dynamics and collective interactions in a classical coloured parton plasma.
Journal ArticleDOI

The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields

TL;DR: In this article, the problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and fermion fields is considered, based on the most general principles of reality, gauge and reparametrization invariance.
Journal ArticleDOI

Diffusion of charm and beauty in the Glasma

TL;DR: In this paper, the evolution of the heavy quarks in the Glasma field generated by high energy p-Pb collisions is studied. But the authors do not consider the effects of the diffusion of heavy probes on the nuclear modification factor of D and B mesons.
Journal ArticleDOI

Symmetry Reduction of Optimal Control Systems and Principal Connections

TL;DR: The focus of the paper is to give a geometric framework of symmetry reduction of optimal control systems as well as to show how to obtain explicit expressions of the reduced system by exploiting the geometry.
Journal ArticleDOI

Propagators for relativistic systems with non‐Abelian interactions

TL;DR: In this article, the relativistic evolution of a system of particles in the proper-time Schwinger-DeWitt formalism is investigated and a Dyson series representation of the propagator is obtained.
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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