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  Form factors, thermal states and modular structures

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5954-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5955-6
Genre: Journal Article

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 Creators:
Niedermaier, Max R.1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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.

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 Dates: 1998-05-25
 Publication Status: Published in print
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 Identifiers: eDoc: 331273
DOI: 10.1016/S0550-3213(98)00130-8
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Title: Nuclear Physics B
  Alternative Title : Nucl. Phys. B
Source Genre: Journal
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Pages: - Volume / Issue: 519 (3) Sequence Number: - Start / End Page: 517 - 550 Identifier: ISSN: 0550-3213