Olivera Mišković and Josep M Pons 2006 J. Phys. A: Math. Gen. 39 9611 doi:10.1088/0305-4470/39/30/014
Fluctuations around classical solutions for gauge theories in Lagrangian and Hamiltonian approach
Olivera Mišković1 and Josep M Pons2
Show affiliationsWe analyse the dynamics of gauge theories and constrained systems in general under small perturbations around a classical solution in both Lagrangian and Hamiltonian formalisms. We prove that a fluctuations theory, described by a quadratic Lagrangian, has the same constraint structure and number of physical degrees of freedom as the original non-perturbed theory, assuming the non-degenerate solution has been chosen. We show that the number of Noether gauge symmetries is the same in both theories, but that the gauge algebra in the fluctuations theory becomes Abelianized. We also show that the fluctuations theory inherits all functionally independent rigid symmetries from the original theory and that these symmetries are generated by linear or quadratic generators according to whether the original symmetry is preserved by the background or is broken by it. We illustrate these results with examples.
- PACS
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 30 (28 July 2006)
Received 13 April 2006, in final form 13 June 2006
Published 12 July 2006
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Fluctuations around classical solutions for gauge theories in Lagrangian and Hamiltonian approach
Olivera Mišković and Josep M Pons 2006 J. Phys. A: Math. Gen. 39 9611
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