Summary: Worldline approach to
Sign Problems
Shailesh Chandrasekharan
Duke University
Outline
XY model + chemical potential
worldline approach
solving the silver blaze problem!
Two component bosons + Abelian gauge fields
Grassmann variables and fermionic worldlines
Massless Thirring model + chemical potential
worldline approach
solving the silver blaze problem!
more flavors + solving sign problems
Applications to QCD Physics (static quarks)
Suggestions for QCD
Conclusions
The Origin of Sign Problems
We are usually interested in a quantum partition function
Always possible to write this as
