An Algebraic Approach to Form Factors

Physics – High Energy Physics – High Energy Physics - Theory

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A simplified form of the algebra is used that allows one to dispense with the extra generator C. To appear in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(95)00096-B

An associative $*$-algebra is introduced (containing a $TTR$-algebra as a subalgebra) that implements the form factor axioms, and hence indirectly the Wightman axioms, in the following sense: Each $T$-invariant linear functional over the algebra automatically satisfies all the form factor axioms. It is argued that this answers the question (posed in the functional Bethe ansatz) how to select the dynamically correct representations of the $TTR$-algebra. Applied to the case of integrable QFTs with diagonal factorized scattering theory a universal formula for the eigenvalues of the conserved charges emerges.

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