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Communications in Mathematical Physics

, Volume 208, Issue 3, pp 671–687 | Cite as

On Tree Form-Factors¶in (Supersymmetric) Yang–Mills Theory

  • K. G. Selivanov

Abstract:

Perturbiner, that is, the solution of field equations which is a generating function for tree form-factors in N=3 (N=4) supersymmetric Yang–Mills theory, is studied in the framework of twistor formulation of the N=3 superfield equations. In the case when all one-particle asymptotic states belong to the same type of N=3 supermultiplets (without any restriction on kinematics), the solution is described very explicitly. It happens to be a natural supersymmetrization of the self-dual perturbiner in non-supersymmetric Yang–Mills theory, designed to describe the Parke–Taylor amplitudes. In the general case, we reduce the problem to a neatly formulated algebraic geometry problem (see Eqs.(70), (71), (72)) and propose an iterative algorithm for solving it, however we have not been able to find a closed-form solution. Solution of this problem would, of course, produce a description of all tree form-factors in non-supersymmetric Yang–Mills theory as well. In this context, the N=3 superfield formalism may be considered as a convenient way to describe a solution of the non-supersymmetric Yang–Mills theory, very much in the spirit of works by E. Witten [1] and by J. Isenberg, P. B. Yasskin and P. S. Green [2].

Keywords

Field Equation Iterative Algorithm Algebraic Geometry Asymptotic State Mill Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • K. G. Selivanov
    • 1
  1. 1.ITEP, B. Cheremushkinskaya 25, Moscow, 117259, Russia.¶E-mail: selivano¶heron.itep.ruRU

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