arXiv subjects

Eduardo Mendel

Publications and source records attributed to Eduardo Mendel.

2 recordsLinked to original sources

arXiv1995

Observing instantons directly on the lattice without cooling

Based on the study of the simple Abelian Higgs model in $1+1$ dimensions we will present a new method to identify and localize extended instantons. The idea is to measure the topological charge on regions somewhat larger than the extended instantons so as to average out the ultraviolet fluctuations but without losing the detailed topological information when going to the full space. The instanton size and probability density can be directly extracted from this analysis. Local dislocations, which can be avoided for fine enough lattices, can be reinterpreted as modified boundary conditions producing sectors with net topological charge.

hep-lat↗

arXiv1995

Finite Density Results for Wilson Fermions Using the Volume Method

Nonzero chemical potential studies with Wilson fermions should avoid the proliferation of flavor-equivalent nucleon states encountered with staggered formulation of fermions. However, conventional wisdom has been that finite baryon density calculations with Wilson fermions will be prohibitively expensive. We demonstrate that the volume method applied to Wilson fermions gives surprisingly stable results on a small number of configurations. It is pointed out that this method may be applied to any local or nonlocal gauge invariant quantity. Some illustrative results for $<\overlineψψ>$ and $< J >$ at various values of $μ$ in a quenched lattice simulation are given.

hep-lat↗