Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.131601
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Funding
- STFC
- STFC [ST/G000506/1] Funding Source: UKRI
- Science and Technology Facilities Council [PPA/A/R/2003/00278, ST/G000506/1] Funding Source: researchfish
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A nonperturbative study of field theories with a complex action, such as QCD at finite baryon density, is difficult due to the sign problem. We show that the relativistic Bose gas at finite chemical potential has a sign and silver blaze problem, similar to QCD. We then apply stochastic quantization and complex Langevin dynamics to study this theory with nonperturbative lattice simulations. Independence of chemical potential at small and a transition to a condensed phase at large chemical potential are found. Lattices of size N-4, with N=4, 6, 8, 10, are used. We show that the sign problem is severe, however, we find that it has no negative effect using this approach. This improves the prospects of applying stochastic quantization to QCD at nonzero density.
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