Eur. Phys. J. C (2011) 71: 1621
https://doi.org/10.1140/epjc/s10052-011-1621-6

Regular Article - Theoretical Physics

External leg amputation in conformal-invariant three-point function

¹ Department of Theoretical Physics, Indian Association for the Cultivation of Science, 2A & 2B, Raja S. C. Mullick Road, Kolkata, 700032, India
² Department of Physics, University of Calcutta, 92 A.P.C. Road, Kolkata, 700009, India

^* e-mail: indrajit.mitra@saha.ac.in
^** e-mail: imphys@caluniv.ac.in

Received: 7 January 2011
Revised: 10 March 2011
Published online: 19 April 2011

Abstract

Amputation of external legs is carried out explicitly for the conformal-invariant three-point function involving two spinors and one vector field. Our results are consistent with the general result that amputating an external leg in a conformal-invariant Green function replaces a field by its conformal partner in the Green function. A new star-triangle relation, involving two spinors and one vector field, is derived and used for the calculation.