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| Description | Speaker: Markus Luty Title: Hamiltonian Truncation as Effective Field Theory Room: 3024 Zoom: https://zoom.us/j/186024391 Host: Markus Luty Abstract: Hamiltonian truncation is a variational approximation of a quantum system based on projecting the Hilbert space to a finite-dimensional subspace and numerically diagonalizing the resulting finite-dimensional Hamiltonian. This method has recently attracted renewed interest for applications to quantum field theory, but is much less developed than lattice quantum field theory. In this talk, I will describe the effective field theory of Hamiltonian truncation, which gives a systematic understanding of the errors made in the truncation and how to correct for them. The effective Hamiltonian has novel features such as non-Hermiticity and non-locality, both of which are controlled in a systematic expansion. Numerical results for 2D phi^4 theory show that the effective Hamiltonian reduces the errors in agreement with theoretical expectations. |
| Date | Mon, October 11, 2021 |
| Time | 1:30pm-3:00pm PDT |
| Duration | 1 hour 30 minutes |
| Access | Public |
| Created by | High-Energy Seminars |
| Updated | Mon, October 4, 2021 11:10am PDT |
| Send Reminder | Yes - 3 days 5 hour 0 minutes before start |
