Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N_f Fundamentals: N_f/N Finite
arXiv:hep-th/0612099
Abstract
In hep-th/0402219 we considered large N zero-coupling d-dimensional U(N) gauge theories, with N_f matter fields in the fundamental representation on a compact spatial manifold S^{d-1}x time, with N_f/N finite. This class of theories undergo a 3rd order deconfinement transition. As a consequence it was proposed that the dual string theory has a 3rd order phase-transition to a black hole at high temperature. In this paper we argue that the same conclusions are valid for such theories at any finite order in perturbation theory in the 't Hooft coupling lambda and N_f/N. It is conjectured that this continues to hold at strong coupling and finite value of N_f/N < (1/lambda), which suggests that the supergravity approximation to the dual string theory has a 3rd order thermal phase transition to a large black hole.
arXiv comment17 pages; v2: references added; v3 minor changes
References in corpus (27)
- Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
- Anti De Sitter Space And Holography
- Holographic Phase Transitions with Fundamental Matter
- Thermodynamics of the brane
- A Holographic Prediction of the Deconfinement Temperature
- Towards the String Dual of N=1 SQCD-like Theories
- A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
- Generalizations of the AdS/CFT correspondence
- Holographic Duals of Flavored N=1 Super Yang-Mills: Beyond the Probe Approximation
- Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor
- Finite temperature effective action, AdS_5 black holes, and 1/N expansion
- Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
- Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality
- Blackhole/String Transition for the Small Schwarzschild Blackhole of and Critical Unitary Matrix Models
- Confinement/Deconfinement Transition of Large N Gauge Theories with N_f Fundamentals: N_f/N Finite
- Deconfinement in Matrix Models about the Gross--Witten Point
- Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
- Matching the Hagedorn temperature in AdS/CFT
- R-charged AdS_{5} black holes and large N unitary matrix models
- Random walks and the Hagedorn transition
- Fine structure of Hagedorn transitions
- Hagedorn vs. Hawking-Page transition in string theory
- Phase Transitions of Large N Orbifold Gauge Theories
- Exact Solution of the One-Dimensional Non-Abelian Coulomb Gas at Large N
- Thermodynamics of the localized D2-D6 system
- Hagedorn divergences and tachyon potential
- Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
Cited by in corpus (11)
- Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
- Unquenched Flavors in the Klebanov-Witten Model
- Finite temperature effective action, AdS_5 black holes, and 1/N expansion
- Vector Models in the Singlet Sector at Finite Temperature
- Isospin diffusion in thermal AdS/CFT with flavor
- Weak coupling large-N transitions at finite baryon density
- Dissolved deconfinement: Phase Structure of large N gauge theories with fundamental matter
- Hagedorn divergences and tachyon potential
- The 2-loop partition function of large N gauge theories with adjoint matter on S^3
- Phases of Thermal N=2 Quiver Gauge Theories
- Hagedorn transition and topological entanglement entropy