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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Scattering theory and the geometry of multitwistor spaces
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by Matthew L. Ginsberg PDF
Trans. Amer. Math. Soc. 276 (1983), 789-815 Request permission

Abstract:

Existing results which show the zero rest mass field equations to be encoded in the geometry of projective twistor space are extended, and it is shown that the geometries of spaces of more than one twistor contain information concerning the scattering of such fields. Some general constructions which describe spacetime interactions in terms of cohomology groups on subvarieties in twistor space are obtained and are used to construct a purely twistorial description of spacetime propagators and of first order ${\phi ^4}$ scattering. Spacetime expressions concerning these processes are derived from their twistor counterparts, and a physical interpretation is given for the twistor constructions.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 276 (1983), 789-815
  • MSC: Primary 32L25; Secondary 81D25, 81F20
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0688978-7
  • MathSciNet review: 688978