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Causality of a wave-equation and invariance of its hyperbolicity conditions

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1980-06-15
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American Physical Society
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Abstract
A characterization of the noncausal behavior of a covariant wave equation is given in terms of the invariance of the hyperbolicity conditions. Some examples in which the Dirac field is not causal are studied.
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© 1980 The American Physical Society. We are very indebted to Dr. L. Vázquez and Dr. J. Usón for discussions. This paper was partly supported by Junta de Energía Nuclear, Madrid.
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1.- G. Velo and D. Zwanziger, Phys. Bev. 186, 1337 (1969). 2.- G. Velo and D. Zwanziger, Phys. Bev. 188, 2218 (1969). 3.- R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1962), Vol. 2, Chap. VI. 4.- D. Zwanziger, Lecture Notes in Physics, No. 73(Springer, Berlin, 1978). 5.- S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
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