Abstract
We demonstrate analytically that complex Langevin dynamics can solve the sign problem in one-dimensional QCD in the thermodynamic limit. In particular, it is shown that the contributions from the complex and highly oscillating spectral density of the Dirac operator to the chiral condensate are taken into account correctly. We find an infinite number of classical fixed points of the Langevin flow in the thermodynamic limit. The correct solution originates from a continuum of degenerate distributions in the complexified space.
| Original language | English |
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| Journal | Journal of High Energy Physics (Online) |
| Volume | 2010 |
| Issue number | 8 |
| Pages (from-to) | 017 |
| Number of pages | 19 |
| ISSN | 1126-6708 |
| DOIs | |
| Publication status | Published - 3 Aug 2010 |