Dressed Polyakov loops and center symmetry from Dirac spectra
نویسندگان
چکیده
We construct a novel observable for finite temperature QCD that relates confinement and chi-ral symmetry. It uses phases as boundary conditions for the fermions. We discuss numerical and analytical aspects of this observable, like its spectral behavior below and above the critical temperature, as well as the connection to chiral condensate and center symmetry.
منابع مشابه
Dual condensate, dressed Polyakov loops and center symmetry from Dirac spectra
We construct a novel observable for finite temperature QCD that relates confinement and chi-ral symmetry. It uses phases as boundary conditions for the fermions. We discuss numerical and analytical aspects of this observable, like its spectral behavior below and above the critical temperature, as well as the connection to chiral condensate, center symmetry and the canonical ensemble.
متن کاملThin and dressed Polyakov loops from spectral sums of lattice differential operators
We represent thin and dressed Polyakov loops as spectral sums of eigenvalues of differential operators on the lattice. For that purpose we calculate complete sets of eigenvalues of the staggered Dirac and the covariant Laplace operator for several temporal boundary conditions. The spectra from different boundary conditions can be combined such that they represent single (thin) Polyakov loops, o...
متن کاملPolyakov Loop Dynamics in the Center Symmetric Phase
A study of the center symmetric phase of SU(2) Yang Mills theory is presented. Realization of the center symmetry is shown to result from non-perturbative gauge xing. Dictated by the center symmetry, this phase exhibits already at the perturbative level con nement like properties. The analysis is performed by investigating the dynamics of the Polyakov loops. The ultralocality of these degrees o...
متن کاملThe role of the Polyakov loop in the Dirac operator of QCD at finite temperature
We show how all the contributions to the determinant of the DiracKogut-Susskind operator of QCD at finite temperature containing a net number of Polyakov loops become irrelevant in the infinite volume limit. We discuss also on two of the most interesting physical implications of this result: i) the restoration of the Polyakov symmetry in the full theory with dynamical fermions and ii) the total...
متن کاملStatic quark-antiquark potential and Dirac eigenvector correlators
We represent the Polyakov loop correlator as a spectral sum of correlators of eigenvectors of the lattice Dirac operator. This spectral representation is studied numerically using quenched SU(3) configurations below and above the deconfinement temperature. We analyze whether the individual Dirac eigenvector correlators differ in the confined and deconfined phases. The decay properties of the no...
متن کامل