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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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Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions

TL;DR: In this article, the authors developed the formalism to do worldline calculations relevant for the Standard Model and derived the free propagators of massless chiral fermions of a single generation and gauge bosons of the standard model.
Journal ArticleDOI

Non-abelian gauge invariant classical lagrangian formalism for point electric and magnetic charge

TL;DR: In this paper, the Lagrangian is shown to be Lorentz invariant, provided a charge quantization condition is satisfied, in contrast to the Abelian case, where such a condition is necessary only for the consistency of the quantum theory.
Journal ArticleDOI

Nonabelian generalization of electric-magnetic duality : a brief review

TL;DR: In this paper, a generalization of electric-magnetic duality to the nonabelian theory is presented, which implies that the gauge symmetry is doubled from SU(n) to SU(N) \times \widetilde{SU}(n), while the physical degrees of freedom remain the same, so that the theory can be described in terms of either the usual Yang-Mills potential $A_\mu(x)$ or its dual ''electric'' potential ''magnetic''.
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Nonlinear dynamics of soft fermion excitations in hot qcd plasma: soft-quark bremsstrahlung and energy losses

TL;DR: In this paper, a general theory of calculation of effective currents and sources generating bremsstrahlung of an arbitrary number of soft quarks and soft gluons at collision of a high-energy color-charged particle with thermal partons in a hot quark-gluon plasma is developed.
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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