Speaker
Dr
Eruzzi Giovanni
(University of Parma and INFN)
Description
The sign problem prevents lattice simulations of many models of physical interest. One proposal for evading such problems is the thimble regularization. I will discuss its application to the phi^4 0-dimensional integral, which is a toy model that has been studied for many years as a prototype of complex-valued action and raises several problems within a treatment via complex Langevin; this model can be successfully solved with the thimble approach, though it exhibits a very non trivial structure. I will discuss the details of the thimble structure in this model along with three different algorithms that we have used to get precise numerical results. I will also briefly outline some preliminary results concerning the application of the thimble approach to a Chiral Random Matrix model, which has been recently discussed in the literature and has proved to be problematic for complex Langevin.
Primary authors
Dr
Eruzzi Giovanni
(University of Parma and INFN)
Dr
Francesco Di Renzo
(University of Parma and INFN)
