Axial Monopoles, Quantization of Electric Charge and Dynamical Discreteness of SpaceTime.pdfVIP

Axial Monopoles, Quantization of Electric Charge and Dynamical Discreteness of Space-Time 3 9 9 M.C. Nemes(1) and Saulo C.S. Silva(2) 1 p e (1)Instituto de Ciˆencias Exatas, Universidade Federal de S 8 Minas Gerais 2 1 (2)Instituto de F´ısica, Universidade de S˜ao Paulo v 5 5 1 9 Abstract 0 3 In the present contribution we show that the introduction of axial currents in 9 electrodynamics can explain the quantization of electric charge and introduces a dy- / h namical discreteness of space-time, justifying thus the regularization of Feymman’s t - integrals. p e h : We start with a generalized definition of the electromagnetic v i X field tensor r a α β F = ∂ A − ∂ A + ǫ ∂ B (1) ν ν ν ναβ where B is an axial 4-vector field. From the point of view of quantum theory this field represents photon-like particles except for P , T and C parities. In other words, axial photons. Maxwell’s equations in Lorenz’s gauge become 1 ν ∂ Fν = A = j (2) ν † ∂ Fν = B = g (3) where we have introduced the axial electromagnetic current given by ¯ g = −gψγ γ (4) 5 Here represents an spin 1/2 particle (axial