# Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N_f Fundamentals: N_f/N Finite

@article{Schnitzer2006ConfinementDeconfinementTO, title={Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N\_f Fundamentals: N\_f/N Finite}, author={Howard Schnitzer}, journal={arXiv: High Energy Physics - Theory}, year={2006} }

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…

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## References

SHOWING 1-10 OF 52 REFERENCES

Confinement/deconfinement transition of large N gauge theories with Nf fundamentals: nf/n finite

- Physics
- 2004

First order deconfinement transition in large N Yang-Mills theory on a small S 3

- Physics
- 2005

We give an analytic demonstration that the $3+1$-dimensional large $N$ $SU(N)$ pure Yang-Mills theory, compactified on a small ${S}^{3}$ so that the coupling constant at the compactification scale is…

Black-hole–black-string phase transitions in thermal (1 + 1)-dimensional supersymmetric Yang–Mills theory on a circle

- Physics
- 2004

We review and extend earlier work that uses the AdS/CFT correspondence to relate the black-hole-black-string transition of gravitational theories on a circle to a phase transition in maximally…

Phase Transitions of Large N Orbifold Gauge Theories(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

- Physics, Mathematics
- 2006

We study the phase structures of = 4 U(N) super Yang-Mills theories on ? S3/k with large N. The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S3/k, and for the…

Mesons in gauge / gravity dual with large number of fundamental fields

- Physics
- 2004

In view of extending gauge/gravity dualities with flavour beyond the probe approximation, we establish the gravity dual description of mesons for a three-dimensional super Yang-Mills theory with…

Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality

- Physics
- 2005

We use anti–de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled [script N]=2 supersymmetric large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets.…

Black hole/string transition for the small Schwarzschild black hole of AdS5×
S5 and critical unitary matrix models

- Physics
- 2006

In this paper we discuss the black hole–string transition of the small Schwarzschild black hole of AdS5×S5 using the AdS/CFT correspondence at finite temperature. The finite temperature gauge theory…

Deconfinement in matrix models about the Gross-Witten point

- Physics
- 2005

We study the deconfining phase transition in $SU(N)$ gauge theories at nonzero temperature using a matrix model of Polyakov loops. The most general effective action, including all terms up to two…

Finite temperature effective action, AdS 5 black holes, and 1 / N expansion

- Physics
- 2005

We propose a phenomenological matrix model to study string theory in AdS5 × S5 in the canonical ensemble. The model reproduces all the known qualitative features of the theory. In particular, it…