Journals / Turkish Journal of Physics / 2001 / Cilt: 25 - Sayı: 5

Coproduct of SUq (2), Coherent States and Four Point Function with Logarithmic Regge Trajectories

Pages
393–398
DOI
—

Abstract

The representation of the operators belonging to a 2 \times 2 SUq (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.

Özet

The representation of the operators belonging to a 2 \times 2 SUq (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.