Dyson-Schwinger and Bethe-Salpeter calculations in Euclidean and Minkowski space in QED and QCD

• Grant number: 17/19371-0
• Support type: Research Grants - Visiting Researcher Grant - International
• Duration: May 20, 2018 - October 19, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Tobias Frederico
• Grantee: Tobias Frederico
• Visiting researcher: Pieter Maris
• Visiting researcher institution: Iowa State University, United States
• Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil
• Associated research grant: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems, AP.TEM

Abstract

The goal of the project is to establish collaborations between the nuclear theory groups at Iowa State University (in Ames, IA, USA) and ITA, to perform research in the field of relativistic quantum field theory in Minkowski and Euclidean space formulations. In particular, we plan to investigate the fermion Dyson-Schwinger equation and the Bethe-Salpeter equations for two-fermion bound states in QED and QCD, in rainbow-ladder truncation and beyond. We use the same truncation and the same regularization scheme in both Minkowski and Euclidean space approaches in general covariant gauges. In the strong coupling regime, where chiral symmetry is broken dynamically, we ensure that the truncation and regularization respects the axial-vector Ward identities so as to maintain the Goldstone nature of the pions. Inaddition, we plan to initiate collaborations in ab-initio nuclear structure calculations, studying exotic nuclei such as the chain of hydrogen isotopes. We are in particular interested in the contributions of different components of the nuclear potential on states at the extremes of n/p ratios. (AU)

Scientific publications

(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)

BURROWS, M.; ELSTER, CH; WEPPNER, S. P.; LAUNEY, K. D.; MARIS, P.; NOGGA, A.; POPA, G. Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities. Physical Review C, v. 99, n. 4 APR 15 2019. Web of Science Citations: 1.

TANG, SHUO; LI, YANG; MARIS, PIETER; VARY, JAMES P. B-c mesons and their properties on the light front. Physical Review D, v. 98, n. 11 DEC 28 2018. Web of Science Citations: 2.

VARY, JAMES P.; BASILI, ROBERT; DU, WEIJIE; LOCKNER, MATTHEW; MARIS, PIETER; PAL, SOHAM; SARKER, SHIPLU. Effective operators in two-nucleon systems. Physical Review C, v. 98, n. 6 DEC 10 2018. Web of Science Citations: 0.