Three-dimensional monopole-free CP$^{N-1}$ models: Behavior in the presence of a quartic potential
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866913310692081664 |
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| author | Bonati, Claudio Pelissetto, Andrea Vicari, Ettore |
| author_facet | Bonati, Claudio Pelissetto, Andrea Vicari, Ettore |
| contents | We investigate the phase diagram and the nature of the phase transitions in a three-dimensional model characterized by a global SU($N$) symmetry, a local U(1) symmetry, and the absence of monopoles. It represents a natural generalization of the gauge monopole-free (MF) CP$^{N-1}$ model, in which the fixed-length constraint (London limit) is relaxed. We have performed Monte Carlo simulations for $N=2$ and 25, observing a finite-temperature transition in both cases, related to the condensation of a local gauge-invariant order parameter. For $N=2$ results for the MF model are consistent with a weak first-order transition. A continuous transition would be possible only if scaling corrections were anomalously large. For $N=25$ the results in the general MF model are also consistent with a first-order transition, that becomes weaker as the size of the field-length fluctuations decreases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_04614 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Three-dimensional monopole-free CP$^{N-1}$ models: Behavior in the presence of a quartic potential Bonati, Claudio Pelissetto, Andrea Vicari, Ettore Statistical Mechanics High Energy Physics - Lattice We investigate the phase diagram and the nature of the phase transitions in a three-dimensional model characterized by a global SU($N$) symmetry, a local U(1) symmetry, and the absence of monopoles. It represents a natural generalization of the gauge monopole-free (MF) CP$^{N-1}$ model, in which the fixed-length constraint (London limit) is relaxed. We have performed Monte Carlo simulations for $N=2$ and 25, observing a finite-temperature transition in both cases, related to the condensation of a local gauge-invariant order parameter. For $N=2$ results for the MF model are consistent with a weak first-order transition. A continuous transition would be possible only if scaling corrections were anomalously large. For $N=25$ the results in the general MF model are also consistent with a first-order transition, that becomes weaker as the size of the field-length fluctuations decreases. |
| title | Three-dimensional monopole-free CP$^{N-1}$ models: Behavior in the presence of a quartic potential |
| topic | Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2202.04614 |