Publication: Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
Loading...
Date
2013-09-10
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Article
Access right
Acesso aberto
Abstract
This work comprises a study upon the quantization and the renormalizability of the generalized electrodynamics of spinless charged particles (mesons), namely, the generalized scalar electrodynamics (GSQED4). The theory is quantized in the covariant framework of the Batalin-Fradkin-Vilkovisky method. Thereafter, the complete Green's functions are obtained through functional methods and a proper discussion on the theory's renormalizability is also given. Next, we present the computation and further discussion on the radiative correction at α order; and, as it turns out, an unexpected mP-dependent divergence on the mesonic sector of the theory is found. Furthermore, in order to show the effectiveness of the renormalization procedure on the present theory, we also give a diagrammatic discussion on the photon self-energy at α2 order, where we observe contributions from the meson self-energy function. Afterwards, we present the expressions of the counterterms and effective coupling of the theory, obtaining from the latter an energy range where the theory is defined by m2≤k2<mP2. We also shown in our final discussion that the new divergence is absorbed suitably by the mass counterterm δZ0, showing therefore that the gauge Ward-Fradkin-Takahashi identities are satisfied still. © 2013 American Physical Society.
Description
Keywords
Language
English
Citation
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 88, n. 6, 2013.
