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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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On Feynman's Approach to the Foundations of Gauge Theory

TL;DR: Tanimura as discussed by the authors generalized Feynman's derivation to a Lorentz covariant form with scalar evolution parameters, and obtained an expression for the force which appears to be consistent with relativistic kinematics and relates the force to the Maxwell field in the usual manner.
Journal ArticleDOI

Classical and quantum double copy of back-reaction

TL;DR: In this article, the back-reaction on these fields from the radiation emitted by the probe particles is computed classically through background-coupled worldline theories, and at tree-level in the quantum theory through three-point amplitudes.
Journal ArticleDOI

Classical strongly coupled quark-gluon plasma. I. Model and molecular dynamics simulations

TL;DR: In this paper, a model for the description of strongly interacting quarks and gluon quasiparticles at T=(1-3)T{sub c} as a classical and nonrelativistic colored Coulomb gas was proposed.
Journal ArticleDOI

Particles with internal structure: The geometry of classical motions and conservation laws

TL;DR: In this article, the coadjoint orbit method was used to construct a model of elementary particles endowed with internal structure using the co-junctive geometry of minimal coupling and conservation laws were derived for symmetric external Einstein-Yang-Mills fields.
Journal ArticleDOI

Multidimensional Worldline Instantons

TL;DR: In this paper, the authors extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude and direction of the electric field.
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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