Faddeev-Jackiw Quantization and Its Application to the Linear σ Model for Disoriented Chiral Condensates**The project supported in part by the Education Bureau and in part by the Grant LWTZ-1298 of the Chinese Academy of Sciences

Abstract

The equivalence between the Faddeev–Jackiw formalism and Dirac–Bergmann algorithm is proved. A two-dimensional constrained system and a charged vector field are quantized in the Faddeev–Jackiw formalism. This symplectic method is technically developed, without recourse to Hamiltonian or Lagrangian, to quantize systems whose equations of motion are known. Examples are given to show this role. For constructing quantum approaches to the disoriented chiral condensates, the linear σ model is quantized in the instant form, light-cone form and covariant form.