Coproduct of SU_{q} (2), Coherent States and Four Point Function with Logarithmic Regge Trajectories

Authors: M. ARIK, AYŞE PEKER-DOBIE

Abstract: The representation of the operators belonging to a 2 \times 2 SU_q (2) matrix yield a Hilbert space H. The coproducts of these operators define a Hilbert space H^{(2)} isomorphic to H and canonically embedded in H \otimes H. The four-point function obtained by taking the scalar product of the ground state of H^{(2)} with the coherent states in H \otimes H is uniquely defined, is meromorphic and has Regge behaviour.

Keywords: Dual amplitudes, Quantum groups, Regge behaviour, Hopf algebras, Coherent states.

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