Topological Field Theory for Quantum Phase Transitions
Jincheng Zhang
Abstract
Abstract: Extend topological field theory to analyze quantum phase transitions, specifically focusing on the emergence of new topological phases. Core Claim: Extend topological field theory to analyze quantum phase transitions, specifically focusing on the emergence of new topological phases. Core Mechanism: Utilize a continuous, topological field to model the evolution of quantum states, enabling the identification of novel topological phases. Why It Is New: Current field theory approaches often treat quantum phases as discrete. This approach aims to capture the dynamic, topological nature of phase transitions.