Atomic Cascades

Quantum Field Theory (QFT) provides the mathematical framework for modern particle physics and condensed matter theory. My research in this area focuses on developing new theoretical tools to understand strongly correlated quantum systems.

Key aspects of my research include:

• Developing effective field theories for emergent phenomena in condensed matter systems
• Studying non-perturbative effects in quantum field theories using functional renormalization group methods
• Investigating dualities between seemingly different quantum field theories
• Applying QFT techniques to understand high-temperature superconductivity
• Exploring quantum criticality and scaling behavior near phase transitions

My recent work has focused on understanding how gauge fields emerge in strongly correlated electron systems and their role in determining the low-energy physics of these systems.

Current Projects

I am currently working on several projects in this area:

• Developing a new theoretical framework for understanding non-Fermi liquid behavior in metals near quantum critical points
• Investigating the role of emergent gauge fields in strongly correlated electron systems
• Studying the interplay between topology and quantum criticality in twisted bilayer graphene

Methodology

My research combines analytical and numerical approaches, including:

• Analytical techniques from quantum field theory, such as renormalization group methods
• Numerical simulations of strongly correlated systems
• Collaboration with experimental groups to test theoretical predictions