Simulating low dimensional QCD with Lefschetz thimbles

Schmidt C, Ziesché F (2017)
In: Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016.

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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.
Publishing Year
Conference
Lattice 2016
Location
Southampton, UK
Conference Date
2016-07-24 – 2016-07-30
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Schmidt C, Ziesché F. Simulating low dimensional QCD with Lefschetz thimbles. In: Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016. 2017.
Schmidt, C., & Ziesché, F. (2017). Simulating low dimensional QCD with Lefschetz thimbles. Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016
Schmidt, C., and Ziesché, F. (2017). “Simulating low dimensional QCD with Lefschetz thimbles” in Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016.
Schmidt, C., & Ziesché, F., 2017. Simulating low dimensional QCD with Lefschetz thimbles. In Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016.
C. Schmidt and F. Ziesché, “Simulating low dimensional QCD with Lefschetz thimbles”, Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016, 2017.
Schmidt, C., Ziesché, F.: Simulating low dimensional QCD with Lefschetz thimbles. Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016. (2017).
Schmidt, Christian, and Ziesché, Felix. “Simulating low dimensional QCD with Lefschetz thimbles”. Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016. 2017.
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