Beyond Thimbles: Sign-Optimized Manifolds for Finite Density

Authors :: Scott Lawrence
Source :: Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018).
Publication Year :: 2019
Publisher :: Sissa Medialab, 2019.
Abstract: The sign problem of relativistic field theories at finite fermion chemical potential has been approached by deforming the domain of integration into complex field space. We present a method for selecting a deformed manifold of integration which is a local maximum of the average phase, and demonstrate this method on the three-dimensional Thirring model. Finally, we compare the performance of this method, in the heavy-dense limit, to direct integration on the Lefschetz thimbles.<br />Comment: 7 pages; proceedings from LATTICE2018

Subjects :: Physics
Thirring model
High Energy Physics - Lattice
Field (physics)
High Energy Physics - Lattice (hep-lat)
Mathematical analysis
FOS: Physical sciences
Limit (mathematics)
Direct integration of a beam
Space (mathematics)
Manifold
Domain (mathematical analysis)
Sign (mathematics)

Database :: OpenAIRE
Journal :: Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
Accession number :: edsair.doi.dedup.....b7760337ccdc65dab66bdfb247c38b14
Full Text :: https://doi.org/10.22323/1.334.0149