One-dimensional QCD in thimble regularization

Understand

QCD in 0+1 dimensions is numerically solved via thimble regularization.

• In the context of this toy model, a general formalism is presented for SU(N) theories.
• The sign problem that the theory displays is a genuine one, stemming from a (quark) chemical potential.
• Three stationary points are present in the original (real) domain of integration, so that contributions from all the thimbles associated to them are to be taken into account: we show how semiclassical computations can provide hints on the regions of parameter space where this is absolutely crucial.