Topological zero modes at nonzero chemical potential

Abstract

We give analytical and numerical solutions for the zero modes of the Dirac operator in topological SU(2) gauge backgrounds at nonzero chemical potential. Continuation from imaginary to real chemical potential is used to systematically derive analytical zero modes for calorons at arbitrary holonomy and, in particular limits, for instantons and dyons (magnetic monopoles). For the latter a spherical ansatz is explored as well. All the zero mode exhibit stronger peaks at the core and negative regions in their densities. We discuss the structure of the corresponding overlap matrix elements. For discretized calorons on the lattice we consider the staggered operator and show that it does possess (quartet quasi-)zero modes, whose eigenmodes agree very well with the continuum profiles, also for nonzero chemical potential.

19 pages, 11 figures

References in corpus (11)

• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• Confining ensemble of dyons
• An SU(2) KvBLL caloron gas model and confinement
• The dyonic picture of topological objects in the deconfined phase
• Quantitative comparison of filtering methods in lattice QCD
• Taste-split staggered actions: eigenvalues, chiralities and Symanzik improvement
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Localization properties of fermions and bosons
• Polyakov loops and spectral properties of the staggered Dirac operator
• Improved superposition schemes for approximate multi-caloron configurations
• Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential

Cited by in corpus (3)

• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Electric charge catalysis by magnetic fields and a nontrivial holonomy