arXiv subjects

Jacobus J. M. Verbaarschot

Publications and source records attributed to Jacobus J. M. Verbaarschot.

39 records · Page 3Linked to original sources

arXiv2012

Eigenvalue Density of the non-Hermitian Wilson Dirac Operator

We find the lattice spacing dependence of the eigenvalue density of the non-Hermitian Wilson Dirac operator in the $ε$-domain. The starting point is the joint probability density of the corresponding random matrix theory. In addition to the density of the complex eigenvalues we also obtain the density of the real eigenvalues separately for positive and negative chiralities as well as an explicit analytical expression for the number of additional real modes.

hep-lat↗

arXiv2004

Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems

Monte Carlo simulations of finite density systems are often plagued by the complex action problem. We point out that there exists certain non-commutativity in the zero chemical potential limit and the thermodynamic limit when one tries to study such systems by reweighting techniques. This is demonstrated by explicit calculations in a Random Matrix Theory, which is thought to be a simple qualitative model for finite density QCD. The factorization method allows us to understand how the non-commutativity, which appears at the intermediate steps, cancels in the end results for physical observables.

hep-lat↗

arXiv2003

The Factorization Method for Simulating Systems With a Complex Action

We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. We apply it in random matrix theory of finite density QCD where we compare with analytic results. In this model we find non--commutativity of the limits $μ\to 0$ and $N\to\infty$ which could be of relevance in QCD at finite density.

hep-lat↗