Perturbative and nonperturbative aspects of quantum field theory and relativistic quantum information

• Grant number: 18/05948-6
• Support Opportunities: Scholarships abroad - Research
• Start date: August 29, 2018
• End date: February 27, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Marcos Donizeti Rodrigues Sampaio
• Grantee: Marcos Donizeti Rodrigues Sampaio
• Host Investigator: Paul Mansfield
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Durham University (DU), England

Abstract

This six month research proposal in Durham University aims at continuing scientific collaboration in two main subjects. The first is related to the study of quantum correlations developed by the particles produced during spacetime expansion. Such correlations encode cosmological parameters and are sensible to quantum field interactions as well as the environment in which they are immerse. We intend to model such correlation for interacting bosonic and fermionic fields. Alongside, we shall study the effect of entanglement of initial in-states on the cross section using a S-matrix formulation. Secondly we plan to study the Yang-Mills vacuum functional in a nonperturbative scheme based on a local expansion of the functionals and a version of the Borel transform which enables us to reconstruct the functional for arbitrary varying fields. (AU)

Scientific publications

(5)

(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)

ARAUJO, JONAS B.; DA PAZ, I. G.; COSTA, HELDER A. S.; VIEIRA, CARLOS H. S.; SAMPAIO, MARCOS. Continuous-variable Bell nonlocality with biphotons produced by spontaneous parametric down-conversion. Physical Review A, v. 101, n. 4, APR 1 2020. (18/05948-6)

MACHADO, L. N.; COSTA, H. A. S.; DA PAZ, I. G.; SAMPAIO, MARCOS; ARAUJO, JONAS B.. Interacting fermions in an expanding spacetime. Physical Review D, v. 98, n. 12, DEC 17 2018. (18/05948-6)

DE BRITO, V, F. C.; DA PAZ, I. G.; HILLER, BRIGITTE; ARAUJO, JONAS B.; SAMPAIO, MARCOS. Gouy phase of type-I SPDC-generated biphotons. Physics Letters A, v. 386, JAN 18 2021. (18/05948-6)

MACHADO, L. N.; COSTA, H. A. S.; DA PAZ, I. G.; SAMPAIO, MARCOS; ARAUJO, JONAS B.. Interacting fermions in an expanding spacetime. PHYSICAL REVIEW D, v. 98, n. 12, p. 12-pg., 2018-12-17. (18/05948-6)

ARAUJO, JONAS B.; DA PAZ, I. G.; COSTA, HELDER A. S.; VIEIRA, CARLOS H. S.; SAMPAIO, MARCOS. Continuous-variable Bell nonlocality with biphotons produced by spontaneous parametric down-conversion. PHYSICAL REVIEW A, v. 101, n. 4, p. 11-pg., 2020-04-01. (18/05948-6)