Truncated Spectrum Approach and QED in 1+1 dimensions

by Marton Lajer (Condensed Matter Theory, BNL)

Monday 22 Feb 2021, 14:00 → 16:00 US/Eastern

The truncated spectrum approach is a numerical method (currently for a
classical computer) that allows studying nonperturbative aspects of
quantum field theories directly in continuous space (of finite spatial
volume/length L).

So far best studied for 1+1 dimensional models, the method provides
direct access to the particle spectrum, form factors, decay rates of
resonances and metastable vacua, and even to S-matrix elements. On the
other hand, it is also useful to study nonequilibrium phenomena, such as
real-time evolution after quenches.

I will present the method for 1+1 dimensional Quantum Electrodynamics (the massive Schwinger model) with a background field.