Propertime theories and reparametrization-invariant theories

Details Propertime theories and reparametrization-invariant theories Propertime theories and reparametrization-invariant theories

2005-03-10

arxiv.org/abs/hep-th/0503091v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 0 figures

Scientific paper

Reparametrization-invariant theories of point relativistic particle interaction with fields of arbitrary tensor dimension are considered. It has been shown that the equations of motion obtained by Kalman [G. Kalman, Phys. Rev. vol.123, p.384 (1961)] are reproduced as the Euler - Lagrange equations for reparametrization-invariant theory in the propertime gauge. The formalism is developed that conserves manifest reparametrization invariance at each stage of calculations. Using the above formalism, the equations of motion are being analyzed and the dynamical variable theories are being constructed. It has been shown that the remained invariance kept after gauge fixation gives an identically-zero invariant Hamiltonian.

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