Speaker
Dr
Neil Christensen
(Illinois State University)
Description
We discuss the diagonalization of the field theory hamiltonian by truncating the Hilbert space and using standard numerical diagonalization techniques. We show results of using this method in a simple $\lambda\phi^4$ theory. We discuss the long-term goal of using this diagonalization technique to calculate the S-matrix elements non-perturbatively. Finally, we briefly discuss Monte-Carlo and Simulated-Annealing methods for moving beyond the memory and computational limitations on the size of the Hamiltonian accessible to numerical diagonalization. This talk is based on arXiv:1603.01273.
Author
Dr
Neil Christensen
(Illinois State University)
