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

Understand

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.