Nuclear Physics B· 2016Q2
On space of integrable quantum field theories
- 655citations
- Q2SCImago
- 2016year
Short summary
Infinitely many integrable deformations of 2D IQFTs can be generated by scalar local fields X_s, which correspond to local integrals of motion.
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Key points
- Infinitely many integrable deformations of 2D IQFTs are generated by scalar local fields X_s.
- Each X_s corresponds to a local integral of motion.
- The first scalar deformation, X_1, is built from energy-momentum tensor components.
- Deformations generated by X_1 are solvable, even for non-integrable theories.
- In massive IQFTs, X_s relate to S-matrix deformations via CDD factors.
AI-generated from the title and abstract; the full text is not read.
Abstract
Here, we study deformations of 2D Integrable Quantum Field Theories (IQFT) which preserve integrability (the existence of infinitely many local integrals of motion). The IQFT are understood as “effective field theories”, with finite ultraviolet cutoff. We show that for any such IQFT there are infinitely many integrable deformations generated by scalar local fields X<sub>s</sub>, which are in one-to-one correspondence with the local integrals of motion; moreover, the scalars X<sub>s</sub> are built from the components of the associated conserved currents in a universal way. The first of these scalars, X<sub>1</sub>, coincides with the composite field View the MathML source(TT¯) built from the components of the energy–momentum tensor. The deformations of quantum field theories generated by X<sub>1</sub> are “solvable” in a certain sense, even if the original theory is not integrable. In a massive IQFT the deformations X<sub>s</sub> are identified with the deformations of the corresponding factorizable S-matrix via the CDD factor. The situation is illustrated by explicit construction of the form factors of the operators X<sub>s</sub> in sine-Gordon theory. Lastly, we also make some remarks on the problem of UV completeness of such integrable deformations.
The authors' abstract, as published at the source. Nuclear Physics B, 2016 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics