Alexandru, Andrei and Draper, Terrence and Horvath, Ivan and Streuer, Thomas (2011) The analysis of space-time structure in QCD vacuum II: Dynamics of polarization and absolute X-distribution. ANNALS OF PHYSICS, 326 (8). pp. 1941-1971. ISSN 0003-4916,
Full text not available from this repository. (Request a copy)Abstract
We propose a framework for quantitative evaluation of dynamical tendency for polarization in an arbitrary random variable that can be decomposed into a pair of orthogonal subspaces. The method uses measures based on comparisons of given dynamics to its counterpart with statistically independent components. The formalism of previously considered X-distributions is used to express the aforementioned comparisons, in effect putting the former approach on solid footing. Our analysis leads to the definition of a suitable correlation coefficient with clear statistical meaning. We apply the method to the dynamics induced by pure-glue lattice QCD in local left-right components of overlap Dirac eigenmodes. It is found that, in finite physical volume, there exists a non-zero physical scale in the spectrum of eigenvalues such that eigenmodes at smaller (fixed) eigenvalues exhibit convex X-distribution (positive correlation), while at larger eigenvalues the distribution is concave (negative correlation). This chiral polarization scale thus separates a regime where dynamics enhances chirality relative to statistical independence from a regime where it suppresses it, and gives an objective definition to the notion of "low" and "high" Dirac eigenmode. We propose to investigate whether the polarization scale remains non-zero in the infinite volume limit, in which case it would represent a new kind of low energy scale in QCD. (C) 2011 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EXACTLY MASSLESS QUARKS; LATTICE; QCD vacuum structure; Lattice gauge theory; High energy physics; Quantum chromodynamics |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Jun 2020 04:53 |
| Last Modified: | 08 Jun 2020 04:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20512 |
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