Venue: PHYS 02.114

Time: Thursday, Friday, September 22, 2023, 2:00 pm (s.t.)

Contact: hees@itp.uni-frankfurt.de

The
question of how QCD matter thermalizes has importance for nuclear
collisions and in various astrophysical contexts. As a first step to
study this question in a model independent way at arbitrary coupling
we investigate whether the Hamiltonian SU(2) gauge theory discretized
on a lattice satisfies the Eigenstate Thermalization Hypothesis (ETH).
I will present the results of our recent exploratory study of three
limiting cases: (a) a linear plaquette chain in a reduced Hilbert
space, (b) a two-dimensional honeycomb lattice with
periodic or closed boundary conditions for the same Hilbert space
constraint, and (c) a chain of three plaquettes in a fully converged
Hilbert space. In each of the three studied cases we
check first for random matrix behavior and then analyze the diagonal
as well as the off-diagonal matrix elements of selected
operators between exact energy eigenstates
for compatibility with the ETH. Within current numerical uncertainties
most of our results agree with ETH expectations. I will discuss
possible future avenues of research of the real-time dynamics of
quantum gauge theories.

The talk will be live-streamed (but not recorded) via Zoom under

https://uni-frankfurt.zoom.us/j/2848286010?pwd=VmtCY1RCc1hpVStKd0RibFBpc1IzZz09

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