Spectral action principle: beyond the weak field approximation

• Grant number: 12/23520-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2013
• End date: March 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: Carlos Enrique Valcárcel Flores
• 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: 12/00333-7 - Problems in quantum mechanics and quantum field theory with strong backgrounds and in noncommutative spacetimes, AP.TEM

Abstract

The Spectral Action Principle states that physical actions are determined by the spectrum of a Dirac operator. The computation of the spectral action relies on methods of Quantum Field Theories as the heat kernel expansion ona weak-field approximation. The purpose of this project is to calculate the spectral action for almost-commutative geometries beyond few leading order in the heat kernel expansion and test the Spectral Action Principle in two dimensional systems for both, its physical predictions and its theoretical consistency. (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)

VALCARCEL, C. E.. Constraint analysis of two-dimensional quadratic gravity from BF theory. GENERAL RELATIVITY AND GRAVITATION, v. 49, n. 1, JAN 2017. (12/23520-7)