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JHEP01(2012)118 Published for SISSA by Springer

Summary: JHEP01(2012)118
Published for SISSA by Springer
Received: December 22, 2011
Accepted: January 10, 2012
Published: January 24, 2012
Complex Langevin dynamics in the SU(3) spin model
at nonzero chemical potential revisited
Gert Aarts and Frank A. James
Department of Physics, College of Science, Swansea University,
Singleton Park, Swansea SA2 8PP, U.K.
E-mail: g.aarts@swan.ac.uk, pyfj@swan.ac.uk
Abstract: The three-dimensional SU(3) spin model is an effective Polyakov loop model
for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero
chemical potential. We revisit this model using complex Langevin dynamics and assess in
particular the justification of this approach, using analyticity at small 2 and the criteria
for correctness developed recently. Finite-stepsize effects are discussed in some detail and
a higher-order algorithm is employed to eliminate leading stepsize corrections. Our results
strongly indicate that complex Langevin dynamics is reliable in this theory in both phases,
including the critical region. This is in sharp contrast to the case of the XY model, where
correct results were obtained in only part of the phase diagram.


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics