Form factors, thermal states and modular structures

Niedermaier, Max R.

doi:10.1016/S0550-3213(98)00130-8

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Form factors, thermal states and modular structures

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Niedermaier, Max R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Niedermaier, M. R. (1998). Form factors, thermal states and modular structures. Nuclear Physics B, 519(3), 517-550. doi:10.1016/S0550-3213(98)00130-8.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5954-8

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.