Finite Order BFFT Method

TL;DR

This paper introduces a finite order BFFT method that truncates infinite series in the extended phase space, simplifying the analysis of constrained systems like the Proca and chiral models.

Contribution

It presents a novel truncation technique for the BFFT approach applicable to systems with symplectic or constant Poisson bracket matrices.

Findings

Successfully applied to Proca, chiral bosons, and Schwinger models.

Reduces complexity by truncating infinite series in the BFFT method.

Demonstrates effectiveness in specific physical models.

Abstract

We have proposed a method in the context of BFFT approach that leads to truncation of the infinite series regarded to constraints in the extended phase space, as well as other physical quantities (such as Hamiltonian). This has been done for cases where the matrix of Poisson brackets among the constraints is symplectic or constant. The method is applied to Proca model, single self dual chiral bosons and chiral Schwinger models as examples.