Back to Search
Start Over
Thermalization and chaos in QED$_{3}$
- Source :
- Phys. Rev. D 99, 076007 (2019)
- Publication Year :
- 2019
-
Abstract
- 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 $1/N_F$. 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.<br />Comment: (1+40) pages, 8 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 99, 076007 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1901.04984
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.99.076007