Analysis of Gauge Dependence in the Einstein-Cartan Theory in First-Order Formulation

• Grant number: 24/19216-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 10, 2025
• End date: February 22, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Fernando Tadeu Caldeira Brandt
• Grantee: Fernando Tadeu Caldeira Brandt
• Visiting researcher: Dennis Gerard Creasor Mckeon
• Visiting researcher institution: Western University , Canada
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The project focuses on the challenges associated with gauge fixing in Einstein-Cartan (EC) theory, which involves multiple gauge symmetries, and explores how gauge parameters affect Green's functions and physical amplitudes. By applying Ward and Nielsen identities, the project seeks to ensure the gauge independence of observable quantities. The collaboration between researchers from the University of São Paulo and the University of Western Ontario aims to perform one-loop calculations, develop computational tools using Mathematica's xAct package, and compare the results with established gauge theories such as Yang-Mills (YM) and Einstein-Hilbert (EH) theories. The expected outcomes include a deeper understanding of gauge fixing in EC theory and the possible identification of new inherent features of the theory. (AU)