An operator expansion for integrable quantum field theories

Abstract

A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local observables in these models remains largely unknown. Aiming for more insight into their structure, we establish a series expansion for observables, similar but not identical to the well-known form factor expansion. This expansion will be the basis for a characterization and explicit construction of local observables, to be discussed elsewhere. Here, we establish the expansion independent of the localization aspect, and analyze its behavior under space-time symmetries. We also clarify relations with deformation methods in quantum field theory, specifically, with the warped convolution in the sense of Buchholz and Summers.

minor corrections and clarifications, as published in J. Phys A; 24 pages

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Cited by in corpus (11)

• Quantum Energy Inequality for the Massive Ising Model
• Characterization of local observables in integrable quantum field theories
• Localization in Nets of Standard Spaces
• Negative energy densities in integrable quantum field theories at one-particle level
• Wedge-local fields in integrable models with bound states
• SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence
• Towards an explicit construction of local observables in integrable quantum field theories
• Recursive construction of the operator product expansion in curved space
• Relativistic Corrections to the Moyal-Weyl Spacetime
• Numerical results on Quantum Energy Inequalities in Integrable Models at the Two-Particle level
• On the status of pointlike fields in integrable QFTs