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.read more
Citations
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Journal ArticleDOI
Conformal Higher Spin Theory
TL;DR: In this paper, the authors construct a gauge theory of interacting symmetric traceless tensor fields of all ranks s=0,1,2,3,... which generalizes Weyl-invariant dilaton gravity to the higher spin case, in any dimension d>2.
Journal ArticleDOI
Quantum Gravity from Noncommutative Spacetime
Jungjai Lee,Hyun Seok Yang +1 more
TL;DR: In this paper, the equivalence principle in the theory of gravity (general relativity) on a symplectic or Poisson manifold has been realized in the context of emergent gravity.
Journal ArticleDOI
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions
TL;DR: In this paper, a higher-order framework for Lagrangian and Hamiltonian reduction by symmetry in geometric mechanics is developed, and the reduced variational principles and associated Poisson brackets are obtained.
Book ChapterDOI
On the role of field theories in our physical conception of geometry
TL;DR: In this article, it is shown that the Lagrangian can be viewed as a phase space of a manifold, and that it is only with the in-roduc t ion of such a manifold that one can find the co tangent bundle of any manifold.
Journal ArticleDOI
Quantum Gravity from Noncommutative Spacetime
Jungjai Lee,Hyun Seok Yang +1 more
TL;DR: In this paper, the equivalence principle in the theory of gravity (general relativity) on a symplectic or Poisson manifold has been realized in the context of emergent gravity.
References
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Journal ArticleDOI
Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
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.
Journal ArticleDOI