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Higher-order field theory: a study of the generalized scalar electrodynamics

Grant number: 11/20653-3
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: March 01, 2012
End date: February 29, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Bruto Max Pimentel Escobar
Grantee:Rodrigo Santos Bufalo
Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated scholarship(s):13/26571-4 - A Hamiltonian analysis of modified theories of gravity, BE.EP.PD

Abstract

We have as aim in this project study, in a systematic way, the Generalized Scalar Electrodynamics (GSQED4) from three distinguished outlooks: functional methods, Duffin-Kemmer-Petiau theory (DKP) and Causal Perturbation Theory (CPT). First, we will analyze the effect of the Podolsky term: into the Hamiltonian structure and, by functional methods, at T = 0 and T /= 0, into the Green s functions at tree and also at 1-loop level; next, we will investigate the DKP theory, also with the addiction of the Podolsky term, and study its equivalence with the GSQED4 atT = 0. Afterwards, we will formulate the GSQED4, also at T = 0, in the causal perturbation theory framework, which is ultraviolet finite, of the S-matrix from Stückelberg-Bogoliubov-Shirkov-Epstein-Glaser; and, thus, proving the normalizability, gauge invariance and unitarity of the theory. (AU)

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Scientific publications (8)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
GHASEMKHANI, M.; BUFALO, R.. Noncommutative Maxwell-Chern-Simons theory: One-loop dispersion relation analysis. Physical Review D, v. 93, n. 8, . (11/20653-3)
BUFALO, R.; PIMENTEL, B. M.; SOTO, D. E.. Causal approach for the electron-positron scattering in generalized quantum electrodynamics. Physical Review D, v. 90, n. 8, . (13/26571-4, 11/20653-3)
BUFALO, R.; PIMENTEL, B. M.; SOTO, D. E.. The Epstein-Glaser causal approach to the light-front QED(4). I: Free theory. ANNALS OF PHYSICS, v. 351, p. 1034-1061, . (11/20653-3)
BUFALO, R.; PIMENTEL, B. M.; SOTO, D. E.. The Epstein-Glaser causal approach to the light-front QED(4). II: Vacuum polarization tensor. ANNALS OF PHYSICS, v. 351, p. 1062-1084, . (11/20653-3)
BUFALO, R.. SIM(1)-VSR Maxwell-Chern-Simons electrodynamics. Physics Letters B, v. 757, p. 216-222, . (11/20653-3)
BUFALO, R.; PIMENTEL, B. M.; SOTO, D. E.. Causal approach for the electron-positron scattering in generalized quantum electrodynamics. Physical Review D, v. 90, n. 8, p. 14-pg., . (11/20653-3, 13/26571-4)
GHASEMKHANI, M.; BUFALO, R.. Noncommutative Maxwell-Chern-Simons theory: One-loop dispersion relation analysis. PHYSICAL REVIEW D, v. 93, n. 8, p. 20-pg., . (11/20653-3)
UPADHYAY, SUDHAKER; OKSANEN, MARKKU; BUFALO, RODRIGO. BRST Quantization of Unimodular Gravity. Brazilian Journal of Physics, v. 47, n. 3, p. 350-365, . (11/20653-3)