Abreu, E. M.C. [UNESP]Dalmazi, D. [UNESP]De Souza Dutra, A. [UNESP]Hott, Marcelo [UNESP]2022-04-282022-04-282002-01-01Physical Review D, v. 65, n. 12, 2002.0556-2821http://hdl.handle.net/11449/224294In this work we discuss the effect of the quartic fermion self-interaction of Thirring type in QED in D = 2 and D = 3 dimensions. This is done through the computation of the effective action up to quadratic terms in the photon field. We analyze the corresponding nonlocal photon propagators nonperturbatively in k/m, where k is the photon momentum and in the fermion mass. The poles of the propagators were determined numerically by using the MATHEMATICA software. In D = 2 there is always a massless pole whereas for strong enough Thirring coupling a massive pole may appear. For D = 3 there are three regions in parameter space. We may have one or two massive poles or even no pole at all. The interquark static potential is computed analytically in D = 2. We notice that the Thirring interaction contributes with a screening term to the confining linear potential of massive two-dimensional QED (QED2). In D = 3 the static potential must be calculated numerically. The screening nature of the massive QED 3 prevails at any distance, indicating that this is a universal feature of D = 3 electromagnetic interaction. Our results become exact for an infinite number of fermion flavors. © 2002 The American Physical Society.engArtigo10.1103/PhysRevD.65.1250302-s2.0-0037098392