Relative cohomology and projective twistor diagrams

Huggett, S. A.; Singer, M. A.

doi:10.1090/S0002-9947-1991-0991962-1

Relative cohomology and projective twistor diagrams
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by S. A. Huggett and M. A. Singer PDF

Trans. Amer. Math. Soc. 324 (1991), 41-57 Request permission

Abstract:

The use of relative cohomology in the investigation of functionals on tensor products of twistor cohomology groups is considered and yields a significant reduction in the problem of looking for contours for the evaluation of (projective) twistor diagrams. The method is applied to some simple twistor diagrams and is used to show that the standard twistor kernel for the first order massless scalar ${\phi ^4}$ vertex admits a (cohomological) contour for only one of the physical channels. A new kernel is constructed for the ${\phi ^4}$ vertex which admits contours for all channels.

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