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Divergent sums, the zeta function and quantum field theory

Grant number: 22/09068-6
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2022
Effective date (End): August 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Dmitry Vasilevich
Grantee:Lucas de Souza
Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated research grant:21/10128-0 - Quantum field theory under the influence of external conditions, AP.TEM

Abstract

In mathematics, there is a strange identity: 1+1+1+... = - 1/2. The study of this identity will bring us to the world of zeta functions and renormalization of quantum field theories. (AU)

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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)
FRESNEDA, RODRIGO; DE SOUZA, LUCAS; VASSILEVICH, DMITRI. Edge states and the η invariant. Physics Letters B, v. 844, p. 4-pg., . (22/09068-6, 21/10128-0)

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