دورية أكاديمية
The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
| العنوان: | The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories |
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| المؤلفون: | Aharony, Ofer, Marsano, Joseph, Minwalla, Shiraz, Papadodimas, Kyriakos, Van Raamsdonk, Mark |
| بيانات النشر: | International Press of Boston |
| سنة النشر: | 2004 |
| المجموعة: | Project Euclid (Cornell University Library) |
| الوصف: | We demonstrate that weakly coupled, large $N, d$-dimensional $SU(N)$ gauge theories on a class of compact spatial manifolds (including $S^{d-1}\times {\rm time}$) undergo deconfinement phase transitions at temperatures proportional to the inverse length scale of the manifold in question. The low temperature phase has a free energy of order one, and is characterized by a stringy (Hagedorn) growth in its density of states. The high temperature phase has a free energy of order $N^2$. These phases are separated either by a single first order transition that generically occurs below the Hagedorn temperature or by two continuous phase transitions, the first of which occurs at the Hagedorn temperature. These phase transitions could perhaps be continuously connected to the usual flat space deconfinement transition in the case of confining gauge theories, and to the Hawking-Page nucleation of $AdS_5$ black holes in the case of the $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We suggest that deconfinement transitions may generally be interpreted in terms of black hole formation in a dual string theory. Our analysis proceeds by first reducing the Yang-Mills partition function to a $(0+0)$-dimensional integral over a unitary matrix $U$, which is the holonomy (Wilson loop) of the gauge field around the thermal time circle in Euclidean space; deconfinement transitions are large $N$ transitions in this matrix integral. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1095-0761 1095-0753 |
| العلاقة: | http://projecteuclid.org/euclid.atmp/1117750697Test; Adv. Theor. Math. Phys. 8, no. 4 (2004), 603-696 |
| الإتاحة: | http://projecteuclid.org/euclid.atmp/1117750697Test |
| حقوق: | Copyright 2004 International Press of Boston |
| رقم الانضمام: | edsbas.B7E71392 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 10950761 10950753 |
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