Abstract
We apply multigrid (MG) concepts to the problem of estimating the fermionic determinant. MG is used both as an analysis guide and as calculational tool. The MG analysis emphasizes the role of the “approximate zero modes” (AZM) in the slowing down of the process. We demonstrate that in the case of a single AZM the MG allows the estimation of the inverse matrix for K-S fermions with no slowing down. The connection between the total topological charge Q tot and the convergence rate is striking. While the convergence rate in a straightforward two-level “experiment” is poor for one smooth instanton ( Q tot = 1), it is good for an instanton-anti-instanton ( Q tot = 0), irrespective of their relative distance.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
