QCD at a Finite Density of Static Quarks

Abstract

Recently, cluster methods have been used to solve a variety of sign problems including those that arise in the presence of fermions. In all cases an analytic partial re-summation over a class of configurations in the path integral was necessary. Here the new ideas are illustrated using the example of QCD at a finite density of static quarks. In this limit the sign problem simplifies since the fermionic part decouples. Furthermore, the problem can be solved completely when the gauge dynamics is replaced by a Potts model. On the other hand in QCD with light quarks the solution will require a partial re-summation over both fermionic and gauge degrees of freedom. The new approach points to unexplored directions in the search for a solution to this more challenging sign problem.

Lattice 2000 (Plenary)

References in corpus (1)

• The three-dimensional, three-state Potts Model in an External Field

Cited by in corpus (6)

• Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
• The solution of a chiral random matrix model with complex eigenvalues
• Microscopic correlation functions for the QCD Dirac operator with chemical potential
• Composite Reweighting the Glasgow Method for Finite Density QCD
• Complex spectrum of finite-density lattice QCD with static quarks at strong coupling
• The Critical Endpoint of Bootstrap and Lattice QCD Matter