Thermodynamics of large-N super Yang–Mills theory AdS/CFT correspondence

Kim, Chanju; Rey, Soo‐Jong

doi:10.1016/s0550-3213(99)00532-5

Cited by 45 publications

(50 citation statements)

References 27 publications

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“…In the near-horizon limit (3.1a) with ℓ = l s → 0 we have the same term (6.22) in terms of the rescaled quantities, but with γ rescaled to γ = 1 8 ζ(3) (6.24) ‡21 On the weak coupling side, a two loop calculation [62] has shown that the leading correction in λ is negative, giving further evidence for the interpolation conjecture. In [63] further corrections in λ from the weak coupling side are considered and also found to support the interpolation conjecture.…”

Section: Corrections From Higher Derivative Termsmentioning

confidence: 66%

Thermodynamics of spinning branes and their dual field theories

Harmark¹,

Obers²

2000

J. High Energy Phys.

132

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We present a general analysis of the thermodynamics of spinning black p-branes of string and M-theory. This is carried out both for the asymptotically-flat and near-horizon case, with emphasis on the latter. In particular, we use the conjectured correspondence between the near-horizon brane solutions and field theories with 16 supercharges in various dimensions to describe the thermodynamic behavior of these field theories in the presence of voltages under the R-symmetry. Boundaries of stability are computed for all spinning branes both in the grand canonical and canonical ensemble, and the effect of multiple angular momenta is considered. A recently proposed regularization of the field theory is used to compute the corresponding boundaries of stability at weak coupling. For the D2, D3, D4, M2 and M5-branes the critical values of Ω/T in the weak and strong coupling limit are remarkably close. Finally, we also show that for the spinning D3-brane the tree level R 4 correction supports the conjecture of a smooth interpolating function between the free energy at weak and strong coupling.

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Section: Corrections From Higher Derivative Termsmentioning

confidence: 66%

Thermodynamics of spinning branes and their dual field theories

Harmark¹,

Obers²

2000

J. High Energy Phys.

132

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“…It is generally assumed (see, e.g., [52]) that f (λ) is analytic on the positive real line (i.e., that one encounters no phase transitions in extrapolating the N = 4 SYM coupling from zero to infinity; more about this in §7). In summary, the thermodynamics of the N = 4 SYM theory in flat space is qualitatively rather boring.…”

Section: Deconfinement Transitions In Gauge Theoriesmentioning

confidence: 99%

“…Recall that Phase I is a confined phase, characterized by a uniform distribution of eigenvalues for the holonomy matrix U . 52 On the other hand Phases II and III are both deconfined phases, which are distinguished by the fact that in Phase II the eigenvalue distribution is non-vanishing on the whole unit circle, while it vanishes outside an interval in Phase III. 53 Note that in each of the figures 8-11 all phase transition temperatures at strong coupling are of O(Λ QCD ); consequently, in this regime the dimensionless phase transition temperature T R increases linearly with the coupling parameter RΛ QCD .…”

Section: Possible Phase Diagrams For Large N Yang-mills Theoriesmentioning

confidence: 99%

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories

Aharony¹,

Marsano²,

Minwalla³

et al. 2004

Advances in Theoretical and Mathematical Physics

542

654

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We demonstrate that weakly coupled, large N , d-dimensional SU (N ) gauge theories on a class of compact spatial manifolds (including S d−1 × 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 e-print archive: http://lanl.arXiv.org/abs/hep-th/0310285 604 THE HAGEDORN/DECONFINEMENT PHASE TRANSITION 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 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.

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“…The presence of the auxiliary fields affects the computation of the quadratic sector 4 in a minor way, as we will see below. Let us 3 Works that employed the Feynman diagrammatic techniques of computing the free energy at finite temperature can be found, e.g., in [16][17][18]. 4 Since the quadratic part was obtained only by using the N = 1 susy transformation rules, we expect that it would take the same form in the complete off-shell N = 4 formulation.…”

Section: Localizationmentioning

confidence: 99%