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Compact expression for a bilinear combination of Dirac spinors in terms of world tensors

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Abstract

A compact expression is obtained for the product of two Dirac spinors in the form of a linear combination of 16 Dirac matrices. A convenient form of expression of the results, permitting its use for analytic calculations of the amplitudes of many-particle processes, is found. It is shown that a bilinear combination of Dirac spinors can be expressed in terms of the 4-momentum vectors and spins of the corresponding particles together with a common phase factor.

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Authors
  1. R. N. Rogalev
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Additional information

Institute of High Energy Physics, Protvino, Moscow Province, 142284, Russia. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 3, pp. 384–390, December, 1994.

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Rogalev, R.N. Compact expression for a bilinear combination of Dirac spinors in terms of world tensors. Theor Math Phys 101, 1430–1435 (1994). https://doi.org/10.1007/BF01035464

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  • DOI: https://doi.org/10.1007/BF01035464

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