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



Título del documento: Soliton operators in the quantum equivalence of the CP1 and O(3)-σ models
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000426008
ISSN: 0035-001X
Autors: 1
2
Institucions: 1Universidad Simón Bolívar, Caracas, Distrito Federal. Venezuela
2Technische Universitat Munchen, Garching bei Munchen, Bayern. Alemania
Any:
Període: Ene-Feb
Volum: 64
Número: 1
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés We discuss some interesting aspects of the well known quantum equivalence between the O ( 3 ) - σ and CP 1 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 CP 1 model, and discuss their properties
Disciplines Física y astronomía
Paraules clau: Física,
Cuantización de solitones,
Skirmiones
Keyword: Physics,
Soliton quantization,
Skyrmions
Text complet: Texto completo (Ver HTML) Texto completo (Ver PDF)