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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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Fluctuations driven isotropization of the quark-gluon plasma in heavy ion collisions

S. V. Akkelin
- 21 Jul 2008 - 
TL;DR: In this article, the isotropization of particle momenta by field fluctuations at the early prethermal stage of matter evolution in ultrarelativistic heavy ion collisions is discussed.
Journal ArticleDOI

Invariance identities associated with finite gauge transformations and the uniqueness of the equations of motion of a particle in a classical gauge field

TL;DR: In this article, the necessary and sufficient conditions for the invariance of the given objects under a finite gauge transformation are embodied in a set of three relations involving the derivatives of their components, which indicate that there cannot exist a gauge-invariant Lagrangian that depends on the gauge potentials, the interaction parameters, and the 4-velocity components of a test particle.
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Hamiltonian Formulation for the Gauge Theory of the Gravitational Coupling

TL;DR: In this article, the Hamiltonian mechanics of a relativistic particle interacting with a gravitational field considered as a gauge field of the Poincare group were studied. But the authors focused on the case of internal symmetries and did not consider the effect of the electromagnetic and Yang-Mills gauge interactions in local coordinates.
Journal ArticleDOI

Pre-equilibrium plasma dynamics☆

TL;DR: In this article, a review of approaches towards understanding and describing the pre-equilibrium stage of quark-gluon plasma formation in heavy-ion collisions is presented, along with a detailed discussion of the physical properties of the formation process.
Journal ArticleDOI

Particle motion in monopoles and geodesics on cones

TL;DR: In this paper, the equations of motion of a charged particle in the field of Yang's SU(2) monopole in 5D Euclidean space are derived by applying the Kaluza{Klein for-malism to the principal bundle R 8 nf0g! R 5 nf 0g obtained by radially extending the Hopf fibration S 7! S 4, and solved by elementary methods.
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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