Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2604.18182 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918456814731264 |
|---|---|
| author | Malik, Anuj |
| author_facet | Malik, Anuj |
| contents | We study the large-$N$ limit of $U(N)$ and $SU(N)$ unitary matrix models inspired by QCD. The model is analyzed in two cases: $μ= 0$, where the potential is real, and finite $μ$, where it becomes complex. The complex action drives the eigenvalues into the complex plane, leading to $\langle U \rangle \neq \langle U^{-1} \rangle$. In the ungapped phase, we obtain analytic expressions for the spectral density, Wilson loops, and free energy, which reproduce the low-temperature behaviour of QCD. In contrast, the gapped phase involves a nontrivial resolvent and is solved partially analytically and numerically. At $μ=0$, the model exhibits a $3^{rd}$ order phase transition, while at finite $μ$, it shows a continuous phase transition of at least second order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18182 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Large-$N$ Dynamics of a QCD-Inspired Unitary Matrix Model Malik, Anuj High Energy Physics - Theory We study the large-$N$ limit of $U(N)$ and $SU(N)$ unitary matrix models inspired by QCD. The model is analyzed in two cases: $μ= 0$, where the potential is real, and finite $μ$, where it becomes complex. The complex action drives the eigenvalues into the complex plane, leading to $\langle U \rangle \neq \langle U^{-1} \rangle$. In the ungapped phase, we obtain analytic expressions for the spectral density, Wilson loops, and free energy, which reproduce the low-temperature behaviour of QCD. In contrast, the gapped phase involves a nontrivial resolvent and is solved partially analytically and numerically. At $μ=0$, the model exhibits a $3^{rd}$ order phase transition, while at finite $μ$, it shows a continuous phase transition of at least second order. |
| title | Large-$N$ Dynamics of a QCD-Inspired Unitary Matrix Model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.18182 |