Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential - INSPIRE

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Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential

Gert Aarts
(
- Swansea U.
)
,
K. Splittorff
(
- Bohr Inst.
)

Jun, 2010

20 pages

Published in:

JHEP 08 (2010) 017

e-Print:

1006.0332 [hep-lat]

DOI:

10.1007/JHEP08(2010)017

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

20 pages, several eps figures, minor comments added, to appear in JHEP

Lattice QCD
Lattice Quantum Field Theory
dimension: 1
condensation: chiral
potential: chemical
operator: Dirac
Langevin equation: complex
quantum chromodynamics
thermodynamics
fixed point

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