The two-phase issue in the O(n) non-linear sigma-model: A Monte Carlo study

Alles, B.; Buonanno, A.; Cella, G.

doi:10.1016/S0920-5632(96)00751-7

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The two-phase issue in the O(n) non-linear sigma-model: A Monte Carlo study

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Buonanno, A.
Dipartimento di Fisica and INFN, Pisa, Italy;
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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hep-lat_9608002.pdf
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NPBConfProc53.pdf
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Citation

Alles, B., Buonanno, A., & Cella, G. (1997). The two-phase issue in the O(n) non-linear sigma-model: A Monte Carlo study. Nuclear Physics B - Proceedings Supplements, 53, 677-679.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-EEBC-E

Abstract

We have performed a high statistics Monte Carlo simulation to investigate whether the two-dimensional O(n) non-linear sigma models are asymptotically free or they show a Kosterlitz- Thouless-like phase transition. We have calculated the mass gap and the magnetic susceptibility in the O(8) model with standard action and the O(3) model with Symanzik action. Our results for O(8) support the asymptotic freedom scenario.