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International Journal of Theoretical Physics

, Volume 48, Issue 9, pp 2473–2485 | Cite as

Quantum Field Formalism for the Electromagnetic Interaction of Composite Particles in a Nonrelativistic Gauge Model III

  • E. C. Manavella
  • R. R. Addad
Article

Abstract

A classical nonrelativistic U(1)×U(1) gauge field model that describes the topologically massive electromagnetic interaction of composite particles in (2+1) dimensions is proposed. The model, generalization of a previously postulated one, contains a Chern-Simons U(1) field and the topologically massive electromagnetic U(1) field, and it uses both a composite boson system or a composite fermion one. The second case is considered explicitly. By using the Dirac Hamiltonian method for constrained systems, the canonical quantization is carried out. By means of the Faddeev-Senjanovic formalism, the path integral quantization is developed. Consequently, the Feynman rules are established and the diagrammatic structure is treated. The application of the Becchi-Rouet-Stora-Tyutin algorithm is discussed. The present and previous models are compared.

Keywords

Quantum field theory Composite bosons and fermions 

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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Facultad de Ciencias Exactas, Ingeniería y AgrimensuraUniversidad Nacional de Rosario2000Argentina
  2. 2.Instituto de Física RosarioUniversidad Nacional de RosarioRosarioArgentina

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