Soliton operators in the quantum equivalence of the CP1 and O(3) - σmodels

Authors

  • J. Stephany Departamento de Física, Sección de Fenómenos Ópticos, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080-A, Venezuela.
  • M. Vollmann Present address: Physik Department T31, James Franck Strasse 1, Technische Universität München, 85748 Garching, Germany.

DOI:

https://doi.org/10.31349/RevMexFis.64.36

Keywords:

Soliton quantization, skyrmions.

Abstract

We discuss some interesting aspects of the well known quantum equivalence between the O(3) - σ and CP1 models in 3D, working in
the canonical and in the path integral formulations. We show first that the canonical quantization in the hamiltonian formulation is free
of ordering ambiguities for both models. We use the canonical map between the fields and momenta of the two models and compute the
relevant functional determinant to verify the equivalence between the phase-space partition functions and the quantum equivalence in all
the topological sectors. We also use the explicit form of the map to construct the soliton operator of the O(3) - σ model starting from the
representation of the operator in the CP1 model, and discuss their properties.

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Published

2018-01-30

How to Cite

[1]
J. Stephany and M. Vollmann, “Soliton operators in the quantum equivalence of the CP1 and O(3) - σmodels”, Rev. Mex. Fís., vol. 64, no. 1 Jan-Feb, pp. 36–41, Jan. 2018.

Issue

Vol. 64 No. 1 Jan-Feb (2018): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.