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Integrable Coupled σ Models.

F Delduc1, S Lacroix2, M Magro1

  • 1Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France.

Physical Review Letters
|February 16, 2019
PubMed
Summary
This summary is machine-generated.

Researchers developed a systematic method to build classical integrable field theories using affine Gaudin models. This approach allows for theories with numerous free parameters and Wess-Zumino terms.

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Area of Science:

  • Theoretical Physics
  • Mathematical Physics

Background:

  • Classical integrable field theories are fundamental in theoretical physics.
  • Recent advancements interpret these theories through affine Gaudin models.

Purpose of the Study:

  • To outline a systematic procedure for constructing classical integrable field theories.
  • To explore the association between integrable field theories and affine Gaudin models with numerous sites.

Main Methods:

  • Interpreting integrable field theories as realizations of affine Gaudin models.
  • Applying this framework to couple multiple principal chiral model fields.

Main Results:

  • A general procedure for constructing classical integrable field theories with arbitrary free parameters is established.
  • The method successfully couples principal chiral model fields with Wess-Zumino terms.

Conclusions:

  • The affine Gaudin model interpretation provides a powerful framework for generating diverse integrable field theories.
  • This procedure facilitates the construction of complex theories with tunable parameters and specific topological terms.