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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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Journal ArticleDOI

Worldline instantons and the fluctuation prefactor

TL;DR: Dunne and Schubert as mentioned in this paper presented a direct numerical approach for determining the prefactor arising from quantum fluctuations about the classical closed path in Euclidean spacetime, and they found a simple explicit formula for determining this prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate.
Journal ArticleDOI

The Weyssenhoff fluid in Einstein-Cartan theory

TL;DR: In this article, the variational theory of an ideal spinning fluid is developed, which is described by original Weyssenhoff-Raabe tensors of spin and energy-momentum.
Book ChapterDOI

Geometric mechanics, Lagrangian reduction, and nonholonomic systems

TL;DR: In this article, the Lagrangian reduction theory of nonholonomic systems with symmetry has been extended to non-holonomic mechanical systems, which provides an intrinsic geometric setting for many of the results that were previously understood primarily in coordinates.
Journal ArticleDOI

Perfect fluid theory and its extensions

TL;DR: In this paper, the authors review the canonical theory for perfect fluids in Euler's and Lagrange's formulations, which is related to a description of extended structures in higher dimensions, including internal symmetry and supersymmetry degrees of freedom.
Journal ArticleDOI

Electromagnetic effects in the quantum interference of dipoles

TL;DR: In this paper, the phase shift in the interference of a magnetic or electric dipole due to the electromagnetic field is obtained relativistically and non-relativistically, and the force and torque on the particle are obtained in the classical limit.
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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