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Complete equivalence between gluon tree amplitudes in twistor string theory and in gauge theory

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Abstract

The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field theory. In this approach, the integration contours are specified as encircling the zeros of certain constraint functions that force the appropriate relation between the link variables and the twistor string world-sheet variables. To do this, methods for calculating the tree amplitudes using link variables are developed further including diagrammatic methods for organizing and performing the calculations.

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Authors and Affiliations

  1. Department of Physics, University of North Carolina, Chapel Hill, NC, 27599, U.S.A.

    Louise Dolan

  2. Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Peter Goddard

Authors
  1. Louise Dolan
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  2. Peter Goddard
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Correspondence to Louise Dolan.

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ArXiv ePrint: 1111.0950

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Dolan, L., Goddard, P. Complete equivalence between gluon tree amplitudes in twistor string theory and in gauge theory. J. High Energ. Phys. 2012, 30 (2012). https://doi.org/10.1007/JHEP06(2012)030

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