Quantum Anomalies in Non-hermitian systems

• Grant number: 25/02766-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: July 01, 2025
• End date: June 30, 2027
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: João Pedro Breveglieri da Silva
• 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

Quantum anomalies play an important role in the physics of Dirac materials. For example, they describe the anomalous Hall conductivity in such materials. Being motivated by recent discoveries on the non-hermiticity effects in condensed matter systems, we propose to study the parity anomaly for non-hermitian Dirac operators for planar fermions. The calculations will be done evaluating the Feynman diagrams and by the methods of spectral theory.