Current status of Dynamical Overlap project

TL;DR

This paper discusses the adaptation of the Hybrid Monte Carlo algorithm for overlap fermions, focusing on handling the delta function in the fermionic force and addressing related algorithmic challenges.

Contribution

It introduces a method to incorporate the delta function in the fermionic force within the Hybrid Monte Carlo algorithm for overlap fermions.

Findings

Developed a new approach to handle the delta function in the fermionic force

Addressed key algorithmic difficulties in implementing the method

Identified remaining challenges for future work

Abstract

We discuss the adaptation of the Hybrid Monte Carlo algorithm to overlap fermions. We derive a method which can be used to account for the delta function in the fermionic force caused by the differential of the sign function. We discuss the algoritmic difficulties that have been overcome, and mention those that still need to be solved.