Quantum field theory is ubiquitous but notoriously hard to solve at strong coupling. Approximating the QFT Hamiltonian on a discretized and truncated Hilbert space offers a nice framework to study QFTs non-perturbatively. Lightcone Conformal Truncation (LCT) is a method that combines the merits of conformal field theory and lightcone quantization. We recently presented a unified framework for generic 2D scalar theories. As examples, we show that it solves the sine-Gordon theory, sinh-Gordon theory, and Schwinger model at the non-relativistic limit to high precision. Remarkably, we provide the first direct confirmation of the conjectured self-duality of the sinh-Gordon model. I will also review the previous developments of LCT as well as other related Hamiltonian truncation methods.
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About the speaker:
Yuan Xin obtained Ph. D. degree at Boston University with Liam Fitzpatrick. After that he worked at Yale University and Carnegie Mellon University as postdoctoral fellow. Yuan’s research focuses on novel non-perturbative methods in quantum field theory and quantum many-body physics and applications in understanding phenomena such as criticality, symmetry breaking/emergence, and confinement. Recently his work involves using bootstrap, Hamiltonian truncation, and DMRG to study low dimension quantum systems.
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Zoom ID: 943 1936 7815
PW: 209890
https://zoom.us/j/94319367815?pwd=bcWqMg3sqWm6H0R9fpmbRpORMCjOOc.1