**Simulating low dimensional QCD with Lefschetz thimbles**

*C. Schmidt, F. ZieschÃ©*

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

**Abstract**

Non-perturbative lattice QCD calculations at non vanishing

baryon number density are hampered by the QCD sign problem. The path

integral, that in lattice QCD is calculated numerically, becomes

highly oscillating. One possible solution is the Lefschetz thimble

approach. It requires a deformation of the original integration

domain into a manifold embedded in complex space. For properly

chosen integration manifolds (``thimbles'') the sign problem is

drastically alleviated. For some bosonic and fermionic models this

approach has been shown to work. Here we apply the thimble

disretization to (0+1)-dimensional QCD with standard staggerd

quarks and disscuss issues that may arrise in higher dimensions.