Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory

Details Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory

2011-11-03

arxiv.org/abs/1111.0950v1

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

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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