On the Hamiltonian formulation of Yang--Mills gauge theories (original) (raw)

Abstract

The Hamiltonian formulation of the theory of J-bundles is given both in the Hamilton--De Donder and in the Multimomentum Hamiltonian geometrical approaches. (3+3) Yang-Mills gauge theories are dealt with explicitly in order to restate them in terms of Einstein-Cartan like field theories.

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References (10)

  1. R. Cianci, S. Vignolo and D. Bruno, The geometrical framework for Yang- Mills theories, J. Phys. A: Math. Gen., Vol. 36, 2003, pp. 8341-8358.
  2. R. Cianci, S. Vignolo and D. Bruno, Geometrical aspects in Yang-Mills gauge theories, J. Phys. A: Math. Gen., Vol. 37, 2004, pp. 2519-2526.
  3. S. Vignolo and R. Cianci, A new geometrical look at gravity coupled with Yang-Mills fields, J. Math. Phys, Vol. 45, 2004, pp. 4448-4463.
  4. G. Sardanashvily, Gauge Theory in Jet Manifolds, Hadronic Press, Palm Har- bor, 1993.
  5. L. Mangiarotti and G. Sardanashvily, Connections in Classical and Quantum Field Theory, World Scientific, Singapore, 2000.
  6. M. Ferraris, M. Francaviglia and M. Raiteri, Dual Lagrangian field theories, J. Math. Phys., Vol. 41, 2000, pp. 1889-1915.
  7. M. Raiteri, M. Ferraris and M. Francaviglia, General Relativity as a Gauge Theory of Orthogonal Groups in Three Dimensions, in Gravity, Particles and Space-Time, edited by P. Pronin and G. Sardanashvily, World Scientific, Sin- gapore, 1996.
  8. M. Raiteri, Dual Lagrangians and Conserved Quantities in Relativistic Field Theories, Ph.D Thesis, Università di Torino, 1999.
  9. L. Fatibene and M. Francaviglia, Natural and gauge natural formalism for classical field theories. A geometric perspective including spinors and gauge theories, Kluwer Academic Publishers, Dordrecht, 2003.
  10. S. Vignolo, R. Cianci and D. Bruno, A first-order purely frame-formulation of General Relativity, preprint DIPTEM, University of Genoa, 2005, submitted for publication.