• Corpus ID: 118315545

A pure Dirac's method for Yang-Mills expressed as a constrained BF-like theory

@article{Escalante2013APD,
  title={A pure Dirac's method for Yang-Mills expressed as a constrained BF-like theory},
  author={Alberto Escalante and Jasel Berra},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
A pure Dirac's method of Yang-Mills expressed as a constrained BF-like theory is performed. In this paper we study an action principle composed by the coupling of two topological BF-like theories, which at the Lagrangian level reproduces Yang-Mills equations. By a pure Dirac's method we mean that we consider all the variables that occur in the Lagrangian density as dynamical variables and not only those ones that involve temporal derivatives. The analysis in the complete phase space enable us… 
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References

SHOWING 1-10 OF 15 REFERENCES

A PURE DIRAC'S CANONICAL ANALYSIS FOR FOUR-DIMENSIONAL BF THEORIES

We perform Dirac's canonical analysis for a four-dimensional BF and for a generalized four-dimensional BF theory depending on a connection valued in the Lie algebra of SO(3, 1). This analysis is

Modern Canonical Quantum General Relativity

This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the

An Exceptionally Simple Theory of Everything

All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong

Quantum gravity

  • C. Rovelli
  • Computer Science, Physics
    Scholarpedia
  • 2008

Phys

  • Lett. B355
  • 1995

The Plebanski action extended to a unification of gravity and [ YM ] theory , arXiv : 0712 . 0977 v 2 . [ 20 ] A . Escalante and Leopoldo Carbajal

  • Class . Quan . Grav .
  • 2002

Phys

  • Rev. D 42
  • 1990

Commun

  • Math. Phys. 125, 417,
  • 1989

Phys

  • 18, 2511
  • 1977