Bruckmann, Falk and Gattringer, Christof and Kloiber, Thomas and Sulejmanpasic, Tin (2016) Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons. PHYSICAL REVIEW D, 94 (11): 114503. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We discuss the thermodynamics of the O(3) nonlinear sigma model in 1 + 1 dimensions at nonzero chemical potential (equivalent to a magnetic field). In its conventional field theory representation the model suffers from a sign problem. By dualizing the model, we are able to fully access the nonzero density regime of an asymptotically free theory with dynamical mass gap at arbitrary chemical potential values. We find a quantum phase transition at zero temperature where as a function of the chemical potential the density assumes a nonzero value. Measuring the spin stiffness we present evidence for a corresponding dynamical critical exponent z close to 2. The low energy O(3) model is conjectured to be described by a massive boson triplet with repulsive interactions. We confirm the universal square-root behavior expected for such a system at low density (and temperature) and compare our data to the results of Bethe Ansatz solutions of the relativistic and nonrelativistic one-dimensional Bose gas. We also comment on a potential Berezinskii-Kosterlitz- Thouless transition at nonzero density.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FACTORIZED S-MATRIX; PHASE-TRANSITIONS; ISOTOPIC SYMMETRY; 2 DIMENSIONS; MASS GAP; SYSTEMS; FERMIONS; NUMBER; O(N); QCD; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Apr 2019 05:46 |
| Last Modified: | 12 Apr 2019 05:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3810 |
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