Twistor quantization and curved space-time

1968
39 pages
Published in:
  • Int.J.Theor.Phys. 1 (1968) 61-99

Citations per year

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Abstract: (Springer)
The formalism of twistors [the ‘spinors’ for the group O(2,4)] is employed to give a concise expression for the solution of the zero rest-mass field equations, for each spin (s=0, 1/2, 1, ...), in terms of an arbitrary complex analytic functionf(Zα) (homogeneous of degree −2s −2). The four complex variablesZα are the components of a twistor. In terms of twistor space (C-picture) it is analytic structure which takes the place of field equations in ordinary Minkowski space-time (M-picture). By requiring that the singularities off(Zα) form a disconnected pair of regions in the upper half of twistor space, fields of positive frequency are generated.