Finite density O(3)\mathbf{O(3)} non-linear sigma model and low energy physics

preprint2015arXivOpen access

Abstract

We present lattice results for simulations of the O(3)O(3) non-linear sigma model at finite chemical potential. The complex action problem is overcome by a dual variable representation of the model. We discuss two aspects of the theory at finite density: 1) The relation of the finite density data to scattering phases and wave-functions. 2) The phase-structure of the theory as a function of chemical potential and the possibility of a Kosterlitz-Thouless phase transition.

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