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TT[over ¯] Deformations and Integrable Spin Chains.

Enrico Marchetto1,2, Alessandro Sfondrini1,3,4, Zhou Yang3

  • 1Dipartimento di Fisica e Astronomia "Galileo Galilei", Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy.

Physical Review Letters
|March 29, 2020
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Summary
This summary is machine-generated.

This study introduces current-current deformations for integrable spin chains, generalizing existing models. The research demonstrates these deformations are composite operators with factorizing expectation values, preserving the system's integrability.

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Area of Science:

  • Theoretical physics
  • Condensed matter physics
  • Quantum field theory

Background:

  • Integrable quantum field theories (QFT) and spin chains are crucial for understanding complex quantum systems.
  • The TT[over ¯] deformation is a known method for deforming QFTs while preserving integrability.
  • Extending deformation techniques to spin chains is essential for broader applications.

Purpose of the Study:

  • To introduce and analyze current-current deformations for integrable spin chains.
  • To establish an analogy between QFT deformations and spin chain modifications.
  • To explore the properties and construction of the deforming operator.

Main Methods:

  • Generalizing TT[over ¯] deformations to the lattice spin chain context.
  • Modifying the S matrix within the Bethe equations to define the deformation.
  • Analyzing the structure and expectation value of the deforming operator using established results.

Main Results:

  • Current-current deformations can be successfully introduced for integrable spin chains.
  • The deforming operator is shown to be composite, built from two lattice currents.
  • The expectation value of the deforming operator exhibits factorization properties, similar to TT[over ¯].

Conclusions:

  • The developed current-current deformation provides a novel way to modify integrable spin chains.
  • This method allows for deformations preserving the model's integrable structure.
  • The findings pave the way for studying a wider range of integrable models with new deformations.