Spectral and Phase Structure of a Unitary Matrix Model with Fisher-Hartwig Singularities
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912914788581376 |
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| author | Malik, Anuj Ahmed, Anees |
| author_facet | Malik, Anuj Ahmed, Anees |
| contents | We investigate a unitary matrix model with a complex potential with Fisher-Hartwig singularities. We show that the model exhibits finite-$N$ phase transitions. The order of the phase transition is coupling-dependent. At large-$N$, these transitions are replaced by third-order Gross-Witten-Wadia transitions between multiple ungapped phases and a single gapped phase, with transitions between ungapped phases forbidden. At both finite and large $N$, the phases are characterized by the locations of the Fisher-Hartwig singularities in the complex plane. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_02953 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral and Phase Structure of a Unitary Matrix Model with Fisher-Hartwig Singularities Malik, Anuj Ahmed, Anees High Energy Physics - Theory We investigate a unitary matrix model with a complex potential with Fisher-Hartwig singularities. We show that the model exhibits finite-$N$ phase transitions. The order of the phase transition is coupling-dependent. At large-$N$, these transitions are replaced by third-order Gross-Witten-Wadia transitions between multiple ungapped phases and a single gapped phase, with transitions between ungapped phases forbidden. At both finite and large $N$, the phases are characterized by the locations of the Fisher-Hartwig singularities in the complex plane. |
| title | Spectral and Phase Structure of a Unitary Matrix Model with Fisher-Hartwig Singularities |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.02953 |