From Spin Ladders to the 2-d O(3) Model at Non-Zero Density

Details From Spin Ladders to the 2-d O(3) Model at Non-Zero Density From Spin Ladders to the 2-d O(3) Model at Non-Zero Density

2001-10-29

arxiv.org/abs/hep-lat/0110215v1

Comput.Phys.Commun. 147 (2002) 388-393

Physics

High Energy Physics

High Energy Physics - Lattice

Based on a talk by U.-J. Wiese, 6 pages, 12 figures, to be published in computer physics communications

Scientific paper

10.1016/S0010-4655(02)00311-9

The numerical simulation of various field theories at non-zero chemical potential suffers from severe complex action problems. In particular, QCD at non-zero quark density can presently not be simulated for that reason. A similar complex action problem arises in the 2-d O(3) model -- a toy model for QCD. Here we construct the 2-d O(3) model at non-zero density via dimensional reduction of an antiferromagnetic quantum spin ladder in a magnetic field. The complex action problem of the 2-d O(3) model manifests itself as a sign problem of the ladder system. This sign problem is solved completely with a meron-cluster algorithm.

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