Lattice Gauge Theories: Combining Lagrangian and Hamiltonian Approaches (C01)

• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 511713970

This project aims at combining complementary path integral Lagrangian and Hamiltonian methods in order to investigate lattice gauge theories from first principles. For this, efficient digitisations of non-Abelian gauge theories will be investigated and tested, a non-perturbative matching protocol between the Lagrangian and Hamiltonian lattice formulations will be developed and, as a first application, the running coupling constant in quantum electro dynamics in 2+1 dimensions will be determined. In the long term these developments will offer the possibility to study gauge theories, and in particular quantum chromodynamics, in regions of parameter space not accessible today by using quantum computing and tensor network methods.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1639: NuMeriQS: Numerical Methods for Dynamics and Structure Formation in Quantum Systems
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professorin Dr. Lena Funcke; Professor Dr. Carsten Urbach