177 citations · 463 across the 14 of their papers we have counts for
14 papers
The gradient flow of the Dirac spectrum
Alexander S. Christensen, K. Splittorff, J. J. M. Verbaarschot
We construct chiral perturbation theory for the gradient flow of the microscopic Dirac eigenvalues and compute the density of and correlations between the microscopic eigenvalues a…
Phase of the Fermion Determinant for QCD at Finite Chemical Potential
K. Splittorff, J. J. M. Verbaarschot
In this lecture we discuss various properties of the phase factor of the fermion determinant for QCD at nonzero chemical potential. Its effect on physical observables is elucidated…
QCD Dirac Spectra and the Toda Lattice
K. Splittorff, J. J. M. Verbaarschot
We discuss the spectrum of the QCD Dirac operator both at zero and at nonzero baryon chemical potential. We show that, in the ergodic domain of QCD, the Dirac spectrum can be obtai…
Dirac Spectra and Real QCD at Nonzero Chemical Potential
D. Toublan, J. J. M. Verbaarschot
We show that QCD Dirac spectra well below Lambda_{QCD}, both at zero and at nonzero chemical potential, can be obtained from a chiral Lagrangian. At nonzero chemical potential Gold…
Statistical properties of the spectrum of the QCD Dirac operator at low energy
D. Toublan, J. J. M. Verbaarschot
We analyze the statistical properties of the spectrum of the QCD Dirac operator at low energy in a finite box of volume by means of partially quenched Chiral Perturbation The…
Randomness on the Lattice
J. J. M. Verbaarschot
In this lecture we review recent lattice QCD studies of the statistical properties of the eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac…