A Derivation of the Cyclic Form Factor Equation

Details A Derivation of the Cyclic Form Factor Equation A Derivation of the Cyclic Form Factor Equation

1997-06-25

arxiv.org/abs/hep-th/9706172v2

Commun.Math.Phys. 196 (1998) 411-428

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex, major improvements

Scientific paper

10.1007/s002200050428

A derivation of the cyclic form factor equation from quantum field theoretical principles is given; form factors being the matrix elements of a field operator between scattering states. The scattering states are constructed from Haag-Ruelle type interpolating fields with support in a `comoving' Rindler spacetime. The cyclic form factor equation then arises from the KMS property of the modular operators Delta associated with the field algebras of these Rindler wedges. The derivation in particular shows that the equation holds in any massive 1+1 dim. relativistic QFT, regardless of its integrability.

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