Normalizability analysis of the generalized quantum electrodynamics from the causal point of view

Abstract

The causal perturbation theory is an axiomatic perturbative theory of the S-matrix. This formalism has as its essence the following axioms: causality, Lorentz invariance and asymptotic conditions. Any other property must be showed via the inductive method order-by-order and, of course, it depends on the particular physical model. In this work we shall study the normalizability of the generalized quantum electrodynamics in the framework of the causal approach. Furthermore, we analyse the implication of the gauge invariance onto the model and obtain the respective Ward-Takahashi-Fradkin identities.

Nonlinear Schrödinger equation in the Bopp–Podolsky electrodynamics: Solutions in the electrostatic case

“…Thus the Bopp-Podolsky parameter a > 0, which has dimension of the inverse of mass, can be interpreted as a cut-off distance or can be linked to an effective radius for the electron. For more physical details we refer the reader to the recent papers [7,10,17,18,20,21] and to references therein.…”

Generalized quantum electrodynamics: One-loop correction

“…The GQED 4 is a natural (unitary and stable) treatment to control the ultraviolet regime. Due to work in [55], the functions and Γ are ultraviolet finite at-any loop order and Π for two loops and so on. Since GQED 4 is a super-renormalizable theory, the superficial degree of divergence decrease by 2 orders from n to n+1 loops [55].…”

“…Due to work in [55], the functions and Γ are ultraviolet finite at-any loop order and Π for two loops and so on. Since GQED 4 is a super-renormalizable theory, the superficial degree of divergence decrease by 2 orders from n to n+1 loops [55]. Therefore, excepting the Π is logarithmic divergent at 1−loop, the GQED 4 is free from ultraviolet divergence.…”

Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system

“…Thus, the Bopp-Podolsky parameter a > 0, which has dimension of the inverse of mass, can be interpreted as a cut-off distance or can be linked to an effective radius for the electron. For more physical details we refer the reader to the recent papers [1,2,9,10,16,17] and to references therein.…”