ساختار پیمانه ای مدل (su(2 با استفاده از رهیافت bfft و روش faddeev-jackiw

Constraint structure in modified Faddeev-Jackiw method

We show that in modified Faddeev-Jackiw formalism, first and second class constraints appear at each level, and the whole constraint structure is in exact correspondence with level by level method of Dirac formalism. e-mail: [email protected] e-mail:[email protected] The standard method for analysis of the constrained systems is known to be the Dirac formalism [1]. Faddeev and Jac...

Faddeev-Jackiw Analysis of Topological Mass Generating Action

We analyze the gauge symmetry of a topological mass generating action in four dimensions which contains both a vector and a second rank antisymmetric tensor fields. In the Abelian case, this system induces an effective mass for the vector gauge field via a topological coupling B ∧ F in the presence of a kinetic term for the antisymmetric tensor field B, while maintaining a gauge symmetry. On th...

Faddeev-Jackiw approach to gauge theories and ineffective constraints

The general conditions for the applicability of the Faddeev-Jackiw approach to gauge theories are studied. When the constraints are effective a new proof in the Lagrangian framework of the equivalence between this method and the Dirac approach is given. We find, however, that the two methods may give different descriptions for the reduced phase space when ineffective constraints are present. In...

Faddeev-jackiw Formalism for a Topological-like Oscillator in Planar Dimensions

The problem of a harmonic oscillator coupling to an electromagnetic potential plus a topological-like (Chern-Simons) massive term, in two-dimensional space, is studied in the light of the symplectic formalism proposed by Faddeev and Jackiw for constrained systems.

Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter

It is well-know that 3-dimensional gravity is an interesting toy model. In fact, it is considered as good test theory for trying to understand the difficulties that emerge in the quantization of four dimensional gravity. It is worth to mention, that since the works developed by Achucarro, Towsend, Witten and other authors [1, 2], there is a huge effort for understanding at classical and quantum...

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