Divergent sums, the zeta function and quantum field theory

• Grant number: 22/09068-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2022
• End date: 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)

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., 2023-09-10. (22/09068-6, 21/10128-0)