Hamilton-Jacobi analysis of the four-dimensional BF model with cosmological term

Abstract

In this work we perform the Hamilton-Jacobi constraint analysis of the four-dimensional Background Field (BF model with cosmological term. We obtain the complete set of involutive Hamiltonians that guarantee the integrability of the system and identify the reduced phase-space. From the fundamental differential we recover the equations of motion and obtain the generators of the gauge and shift transformations.