Simulating QCD on Lefschetz thimbles

ECT* - Villa Tambosi

Strada delle Tabarelle, 286
Trento - Italy

ECT* - Villa Tambosi

Strada delle Tabarelle, 286
Trento - Italy

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 small bosonic and fermionic models this approach has been shown to work. In this workshop we want to explore the prospect of the Lefschetz thimble approach to get extended to full QCD and discuss current numerical and theoretical limitations.

Organizers

  • Andrei Alexandru (George Washington University)
  • Paulo Bedaque (University of Maryland)
  • Christian Schmidt (University of Bielefeld)

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