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Abstract:
Form factor sequences of an integrable QFT can be defined axiomatically as solutions of a system of recursive functional equations, known as “form factor equations”. We show that their solution can be replaced with the study of the representation theory of a novel algebra Image(S). It is associated with a given two-particle S-matrix and has the following features: (i) It contains a double TTS algebra as a subalgebra. (ii) Form factors arise as thermal vector states over Image(S) of temperature 1/2π. The thermal ground states are in correspondence to the local operators of the QFT. (iii) The underlying ‘finite temperature structure’ is indirectly related to the “Unruh effect” in Rindler space-time. In Image(S) it is manifest through modular structures (j,σ) in the sense of algebraic QFT, which can be implemented explicitly in terms of the TTS generators.
