ABELIAN CALIBRATION fiELD THEORY ON U (1) LIE GROUP WITH LORENTZ INVARIANTS IN 2+1 DIMENSIONS WITH TOPOLOGICAL MASS GENERATION

Main features and mechanism of a calibration abelian theory constructed on U(1) Lie group is presented. Given Lorentz invariants for which local invariance principle is satisfied, its respective action is built. Calibration field and its curvature are obtained from U(1) symmetries. Maxwell electromagnetic formalism has been developed for this model. Induced Chern-Simmons action is reduced to 2+1 dimensions and Maxwell equations rewrote. Both magnetic and electric field equations are solved from Maxwell theory, and obtained Klein Gordon massive wave field equations, which presented topological mass.