The hydrogen atom in d dimensions

• Grant number: 23/16344-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2024
• End date: December 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Diogo Rodrigues Boito
• Grantee: Lucas Aurélio Quitakava Ferreira da Silva
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 21/06756-6 - Testing the standard model: precision QCD and muon g-2, AP.JP2

Abstract

In quantum field theory, dimension regularization is a standard technique. It consists, essentially, in the regularization of divergent expressions by extending them to d space-time dimensions. The use of this technique requires a consistent treatment of the problem in d dimensions. In this project the student will study the hydrogen atom in d dimensions which is a problem that touches several fundamental aspects of particle and quantum physics. As a final task, the student should address the problem of quark-antiquark bound states in d dimensions. This project will expose the student to several of the techniques they will later use in a future Master's or PHD work in particle physics.