The gradient flow of the Dirac spectrum
High Energy Physics - Lattice
2015-06-22 v1
Abstract
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 at zero and non-zero flow time. The results show that the repulsion of the microscopic Dirac eigenvalues from the dynamical quark mass decreases with increasing gradient flow time. Furthermore, the flow of the spectral resolvent is compared to the flow of the chiral condensate obtained from a fermionic gradient flow.
Keywords
Cite
@article{arxiv.1408.1498,
title = {The gradient flow of the Dirac spectrum},
author = {Alexander S. Christensen and K. Splittorff and J. J. M. Verbaarschot},
journal= {arXiv preprint arXiv:1408.1498},
year = {2015}
}
Comments
24 pages, 3 figures