arXiv subjects
Publications and source records attributed to L. C. de Albuquerque.
We apply a soft version of the BPHZ subtraction scheme to the computation of two-loop corrections from an Abelian Chern-Simons field coupled to (massive) scalar matter with a $λ(Φ^\dagΦ)^2$ and $ν(Φ^\dagΦ)^3$ self-interactions. The two-loop renormalization group functions are calculated. We compare our results with those in the literature.
We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order $α$, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.
We show explicitly that Schwinger's formula for one-loop effective actions corresponds to the summation of energies associated with the zero-point oscillations of the fields. We begin with a formal proof, and after that we confirm it using a regularization prescription.