Noncommutative X-Y model and Kosterlitz Thouless transition

Details Noncommutative X-Y model and Kosterlitz Thouless transition Noncommutative X-Y model and Kosterlitz Thouless transition

2001-05-05

arxiv.org/abs/hep-th/0105051v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, TeX with harvmac

Scientific paper

Matrix models have been shown to be equivalent to noncommutative field theories. In this work we study noncommutative X-Y model and try to understand Kosterlitz Thouless transition in it by analysing the equivalent matrix model. We consider the cases of a finite lattice and infinite lattice separately. We show that the critical value of the matrix model coupling is identical for the finite and infinite lattice cases. However, the critical values of the coupling of the continuum field theory, in the large $ N $ limit, is finite in the infinite lattice case and zero in the case of finite lattice.

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