Absolute X-distribution and self-duality
From Gw-qcd-wiki
Motivation
Various models of QCD vacuum predict that it is dominated by excitations that are predominantly self-dual or anti self-dual. In this work we look at the tendency for self-duality in the case of pure-glue SU(3) gauge theory using the overlap-based definition of the field-strength tensor. To gauge this tendency, we use the absolute X-distribution method which is designed to quantify the {\em dynamical} tendency for polarization for arbitrary random variables that can be decomposed in a pair of orthogonal subspaces.
Ensembles
$ \def\fm {\,{\tt fm}} \def\MeV {\,{\tt MeV}} \def\GeV {\,{\tt GeV}} \def\degC{\,{^\circ{\tt C}}} \def\degK{\,{\tt K}} $
| Ensemble | Size | Volume | $N_\text{config}$ | Lattice spacing |
|---|---|---|---|---|
| $E_2$ | $12^4$ | $(1.32\fm)^4$ | 400 | $0.110\fm$ |
| $E_3$ | $16^4$ | $(1.32\fm)^4$ | 200 | $0.0825\fm$ |
| $E_8$ | $20^4$ | $(1.32\fm)^4$ | 80 | $0.066\fm$ |
| $E_4$ | $24^4$ | $(1.32\fm)^4$ | 40 | $0.055\fm$ |
| $E_7$ | $32^4$ | $(1.32\fm)^4$ | 20 | $0.041\fm$ |
| $E_6$ | $32^4$ | $(1.76\fm)^4$ | 20 | $0.055\fm$ |
The number of configurations in each ensemble is given by the number of dmatrix files computed.
Papers
- A. Alexandru, T. Draper, I. Horvath, and T. Streuer, The Analysis of Space-Time Structure in QCD Vacuum II: Dynamics of Polarization and Absolute X-Distribution, Annals of Physics (2011) arXiv:1009.4451.
- A. Alexandru, T. Draper, I. Horvath, and T. Streuer, Absolute Measure of Local Chirality and the Chiral Polarization Scale of the QCD Vacuum, PoS LATTICE2010 (2010) 082, arXiv:1010.5474.
- T. Draper, A. Alexandru, Y. Chen, S.-J. Dong, I. Horvath, et. al., Improved measure of local chirality, Nucl.Phys.Proc.Suppl. 140 (2005) 623–625, hep-lat/0408006.
- C. Gattringer, Testing the self-duality of topological lumps in SU(3) lattice gauge theory, Phys. Rev. Lett. 88 (2002) 221601, hep-lat/0202002.
- I. Horvath et. al., Local chirality of low-lying Dirac eigenmodes and the instanton liquid model, Phys. Rev. D66 (2002) 034501, hep-lat/0201008.
- I. Horvath, N. Isgur, J. McCune, and H. B. Thacker, Evidence against instanton dominance of topological charge fluctuations in QCD, Phys. Rev. D65 (2002) 014502, hep-lat/0102003.
