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Journal of Mathematical Physics -- August 1989 -- Volume 30, Issue 8, pp. 1877-1892
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Hamiltonian reduction for massive fields coupled to sources
- C. Marzban, B. F. Whiting, and H. Van Dam
- Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255
(Received 10 February 1989; accepted 22 March 1989)
The Dirac–Bergmann formalism for handling constrained dynamical systems is applied to massive and massless spin-2 field theories in Minkowski space. In the process, it is shown that an extension of the formalism is required before the true Hamiltonian on the reduced phase space can be calculated. With this extension, the approach then allows a revealing exposition of the m 0 limit of the massive theory, particularly of the requirement for the conservation of sources, and reconfirms the experimentally observable discontinuity which occurs at m=0.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
doi:10.1063/1.528223
PACS:
11.10.Qr, 11.10.Ef, 11.30.Pb
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