METHODS OF THEORETICAL PHYSICS

From free fields to $AdS$: The case of particles with spin

M. Konyushikhin<sup>ab

a</sup> Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b Moscow Institute of Physics and Technology

Abstract: It is shown that one-loop diagrams with three external lines in the usual conformal field theory in D dimensions are equal to a finite sum of tree diagrams with one vertex in theory with the AdS _{D + 1} metric. Some terms of the dual Lagrangian that are responsible for interaction are calculated. Spin-0, spin-1/2, and spin-1 particles are considered.

PACS: 11.10.Kk, 11.15.Pg, 11.25.Tq

Received: 25.05.2007

 English version: Journal of Experimental and Theoretical Physics Letters, 2007, 86:2, 144–148

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