Thermalization and chaos in QED$_{3}$

Understand

We study the real time dynamics of $N_F$ flavors of fermions coupled to a $U(1)$ gauge field in $2+1$ dimensions to leading order in a $1/N_F$ expansion.

• For large enough $N_{F}$, this is an interacting conformal field theory and describes the low energy properties of the Dirac spin liquid.
• We focus on thermalization and the onset of many-body quantum chaos which can be diagnosed from the growth of initally anti-commuting fermion field operators.
• We compute such anti-commutators in this gauge theory to leading order in $1/N_F$.