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Twistor diagram equalities for generalized mass-scattering integrals for Dirac fields

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Abstract

A method which enables one to convert the integral of a holomorphic projective twistor one-form into the integral of a holomorphic projective twistor three-form is used to modify the end-vertex structures of certain twistor diagrams that represent mass-scattering integrals for Dirac fields. Each term of the twistorial diagrammatic expansions recovering the entire fields is then re-expressed appropriately. This gives rise to four sets of explicit twistor-diagram equalities for the mass-scattering formulae.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    J. G. Cardoso

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  1. J. G. Cardoso
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Additional information

I am most grateful to Professor Roger Penrose for making a key point concerning the introduction of the basic auxiliary-twistor vertices. My warmest thanks go to the World Laboratory for supporting this work financially. I wish to acknowledge the Third World Academy of Sciences for a relevant travel grant. I am grateful, also, to Dr. Asghar Quadir for his invaluable suggestions.

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Cardoso, J.G. Twistor diagram equalities for generalized mass-scattering integrals for Dirac fields. Czech J Phys 44, 663–686 (1994). https://doi.org/10.1007/BF01694838

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