de Gracia, G. B. [UNESP]Pimentel, B. M. [UNESP]Valcárcel, C. E.2018-12-112018-12-112017-10-01European Physical Journal Plus, v. 132, n. 10, 2017.2190-5444http://hdl.handle.net/11449/175387In 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.engArtigo10.1140/epjp/i2017-11696-0Acesso aberto2-s2.0-850322266662-s2.0-85032226666.pdf