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). 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

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)