• Corpus ID: 195316426

The mass gap problem for the Yang-Mills Field. (arXiv:math-ph/0407004v3 UPDATED)

  title={The mass gap problem for the Yang-Mills Field. (arXiv:math-ph/0407004v3 UPDATED)},
  author={Alexey Sevostyanov},
We consider the reduced Hamiltonian of the Yang-Mills field on $\mathbb{R}^4$ equipped with a Lorentzian metric. We show that the secondary quantized principal term $H_0$ of the Taylor expansion of this Hamiltonian at the lowest energy point has a mass gap if and only if zero is not a point of the spectrum of the auxiliary self-adjoint operator ${\rm curl}=*d$ defined on the space of one-forms $\omega$ on $\mathbb{R}^3$ satisfying the condition ${\rm div}~ \omega=*d*\omega=0$, where $*$ is the… 



The riemannian geometry of the configuration space of gauge theories

We state some new results about the configuration space of pure Yang-Mills theory. These results come from the study of the kinetic energy term of the Lagrangian of the theory. This term defines a

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Some remarks on the Gribov ambiguity

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The Hamiltonian Form of Field Dynamics

  • P. Dirac
  • Physics
    Canadian Journal of Mathematics
  • 1951
In classical dynamics one has usually supposed that when one has solved the equations of motion one has done everything worth doing. However, with the further insight into general dynamical theory