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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Deforming Path Integration Contours: Application to Finite Density Thirring Model

Jul 23, 2018, 4:50 PM
Centennial (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Nonzero Temperature and Density Nonzero Temperature and Density


Neill Warrington (University of Maryland, College Park)


Systems of fermions at finite density have complex Boltzmann weights which cause the integrand of the path integral to be highly oscillatory. As a result of these oscillations, standard integration methods require exponential precision in the spacetime volume to compute observables. However, deforming the path integration contour to a manifold which approximates a set of Lefschetz Thimbles tames phase oscillations while leaving physical observables invariant. I will describe this deformation procedure, which is achieved with the holomorphic gradient flow, then apply it to the Finite Density Thirring Model, which is a system with a sufficiently bad sign problem that standard methods fail.

Primary author

Neill Warrington (University of Maryland, College Park)

Presentation Materials