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arXiv:1009.5838v1[hep-lat]29Sep2010 The XY model at finite chemical potential using

Summary: arXiv:1009.5838v1[hep-lat]29Sep2010
The XY model at finite chemical potential using
complex Langevin dynamics
Gert Aarts and Frank A. James
Department of Physics, Swansea University, Swansea, UK
E-mail: g.aarts@swansea.ac.uk, pyfj@swansea.ac.uk
The three-dimensional XY model is studied at finite chemical potential using complex Langevin
dynamics. An adaptive stepsize algorithm is implemented to cure the problem of runaway solu-
tions that appears when using a constant stepsize. The validity of complex Langevin dynamics
is tested against calculations using imaginary chemical potential and the world line formalism.
While complex Langevin dynamics is found to work correctly at larger , it fails for smaller ,
in the region of the phase diagram corresponding to the disordered phase. Diagnostic tests are
developed to identify behaviour symptomatic of incorrect convergence. These indicate that the
failure does not depend on the severeness of the sign problem, but has a different origin.
The XXVIII International Symposium on Lattice Field Theory, Lattice2010
June 14-19, 2010
Villasimius, Italy
c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. http://pos.sissa.it/
XY model at finite chemical potential Frank A. James


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


Collections: Physics