An Extended Abelian Chern - Simons Model and the Symplectic Projector Method
نویسندگان
چکیده
The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3 supersymmetric theory whenever scalar and fermionic matter is suitably coupled to the family of gauge potentials.
منابع مشابه
M ay 2 00 0 An Extended Abelian Chern - Simons Model and the Symplectic Projector Method
The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a mixed Chern-Simons term. We focus on a field content that spans an N=2-D=3 supersymmetric theory whenever fermions are suitably coupled to the family of gauge potentials.
متن کامل1 An Extended Abelian Chern - Simons Model and the Symplectic Projector Method
The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3 supersymmetric theory whenever scalar and fermionic matter is suitably coupled to the family of gauge potentials.
متن کاملChern-Simons-Maxwell Theory without Matter
We work out the physical field variables and write down the physical Hamiltonian for the Chern-Simons-Maxwell theory by working with the symplectic projector method.
متن کاملCoherent State Quantization of Su(n) Non-abelian Chern-simons Particles
We present a new method of formulating the classical theory of SU(N + 1) non-Abelian Chern-Simons (NACS) particles for arbitrary N ≥ 1 using the symplectic reduction of CP (N) manifold from S2N+1. Quantizing the theory using BRST formulation and coherent state path integral method , we obtain a quantum mechanical model for SU(N + 1) NACS particles.
متن کاملM ay 2 00 0 CHERN - SIMONS REDUCTION AND NON - ABELIAN FLUID MECHANICS ∗
We propose a non-Abelian generalization of the Clebsch parameterization for a vector in three dimensions. The construction is based on a group-theoretical reduction of the Chern-Simons form on a symmetric space. The formalism is then used to give a canonical (symplectic) discussion of non-Abelian fluid mechanics, analogous to the way the Abelian Clebsch parameterization allows a canonical descr...
متن کامل