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On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential

Aarts, Gert ; James, Frank A.

The journal of high energy physics, 2010-08, Vol.2010 (8), Article 20 [Periódico revisado por pares]

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Título:
On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential
Autor: Aarts, Gert ; James, Frank A.
Assuntos: Chemical potential ; Classical and Quantum Gravitation ; Computer simulation ; Convergence ; Diagnostic systems ; Elementary Particles ; High energy physics ; Phase diagrams ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory ; Three dimensional models
É parte de: The journal of high energy physics, 2010-08, Vol.2010 (8), Article 20
Descrição: The three-dimensional XY model is studied at finite chemical potential using complex Langevin dynamics. The validity of the approach is probed at small chemical potential using imaginary chemical potential and continuity arguments, and at larger chemical potential by comparison with the world line method. While complex Langevin works for larger β , we find that it fails for smaller β , in the region of the phase diagram corresponding to the disordered phase. Diagnostic tests are developed to identify symptoms correlated with incorrect convergence. We argue that the erroneous behaviour at smaller β is not due to the sign problem, but rather resembles dynamics observed in complex Langevin simulations of simple models with complex noise.
Editor: Berlin/Heidelberg: Springer-Verlag
Idioma: Inglês

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