TY - JOUR T1 - Thermalization and chaos in QED3 JF - Phys. Rev. D Y1 - 2019 A1 - Julia Steinberg A1 - Brian Swingle AB -
We study the real time dynamics of NF flavors of fermions coupled to a U(1) gauge field in 2+1 dimensions to leading order in a 1/NF expansion. For large enough NF, 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/NF. We find that the anti-commutator grows exponentially in time and compute the quantum Lyapunov exponent. We briefly comment on chaos, locality, and gauge invariance.
VL - 99 UR - https://arxiv.org/abs/1901.04984 CP - 076007 U5 - https://doi.org/10.1103/PhysRevD.99.076007 ER -