Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2013)073
Keywords
Lattice Quantum Field Theory; Quark-Gluon Plasma
Categories
Funding
- STFC
- Large Facilities Capital Fund of BIS
- Swansea University
- European Union [238353]
- Science and Technology Facilities Council [ST/J00040X/1, ST/K000411/1, ST/H008845/1] Funding Source: researchfish
- STFC [ST/J00040X/1, ST/K000411/1, ST/H008845/1] Funding Source: UKRI
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The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail.
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