Non-extremal geometries and holographic phase transitions

Mia, Mohammed; Chen, Fang

doi:10.1007/jhep01(2013)083

Cited by 4 publications

(5 citation statements)

References 103 publications

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“…On the gauge theory side, the configuration is given in figure 1. The details of this configuration has already appeared in our earlier papers [20] so we will be brief. It is easy to see that at high energy, i.e the energy bigger than the excitation energy of the D5 anti-D5 strings, the theory will be governed by an SU (N + M ǫ ) × SU (N + M ) gauge theory where the factor M ǫ appears from the M D5 anti-D5 pairs (there are no tachyons, so only the D5 charges cancel giving rise to M fractional D3-branes) as:…”

Section: A Brief Detour Into the Modelmentioning

confidence: 99%

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Infrared dynamics of a large N QCD model, the massless string sector and mesonic spectra

Dasgupta

Gale

Mia

et al. 2015

J. High Energ. Phys.

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A consistency check for any UV complete model for large N QCD should be, among other things, the existence of a well-defined vector and scalar mesonic spectra. In this paper, we use our UV complete model in type IIB string theory to study the IR dynamics and use this to predict the mesonic spectra in the dual type IIA side. The advantage of this approach is two-fold: not only will this justify the consistency of the supergravity approach, but it will also give us a way to compare the IR spectra and the model with the ones proposed earlier by Sakai and Sugimoto. Interestingly, the spectra coming from the massless stringy sector are independent of the UV physics, although the massive string sector may pose certain subtleties regarding the UV contributions as well as the mappings to actual QCD. Additionally, we find that a component of the string landscape enters the picture: there are points in the landscape where the spectra can be improved somewhat over the existing results in the literature. These points in the landscape in-turn also determine certain background supergravity components and fix various pathologies that eventually lead to a consistent low energy description of the theory.

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Section: A Brief Detour Into the Modelmentioning

confidence: 99%

“…Once the dual background is constructed, it is not too hard to write the full supergravity solution. This has been worked out in details in [5,13,20]. 6 The world-volume fluxes on the branes and the anti-branes effectively create bound D3-branes respectively on the branes and the anti-branes.…”

Section: Background Supergravity Solutionmentioning

confidence: 99%

Infrared dynamics of a large N QCD model, the massless string sector and mesonic spectra

Dasgupta

Gale

Mia

et al. 2015

J. High Energ. Phys.

Self Cite

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“…Going to the ω → 0 limit, (4.80) does lead to an unambiguous value for the bulk viscosity as we show in (4.84) and (4.87) by taking the ratio of the bulk viscosity with the entropy density. Our result is expressed in terms of certain functions f 0 (r) or f 0 (r) which are related by (19). These functions entail the details of the UV completion of the model and are therefore technically challenging to derive.…”

Section: Discussionmentioning

confidence: 99%

“…b (i)n ω 2n+1 X 0 (r, |ω|) + X 11 (r, |ω|) + O( 2 ), (4.86) 19 Recall our definition of T c in [13]: T c = g (r h ) 4π √ h(r h )g(rc)…”

Section: Towards Bulk Viscosity In the Non-conformal Limitmentioning

confidence: 99%

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Renormalization group flow, stability, and bulk viscosity in a large N thermal QCD model

et al. 2017

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The ultraviolet completion of a large N QCD model requires introducing new degrees of freedom at certain scale so that the UV behavior may become asymptotically conformal with no Landau poles and no UV divergences of Wilson loops. These UV degrees of freedom are represented by certain anti-branes arranged on the blown-up sphere of a warped resolved conifold in a way that they are separated from the other set of branes that control the IR behavior of the theory. This separation of the branes and the anti-branes creates instability in the theory. Further complications arise from the curvature of the ambient space. We show that, despite these analytical hurdles, stability may still be achieved by switching on appropriate world-volume fluxes on the branes. The UV degrees of freedom, on the other hand, modify the RG flow in the model. We discuss this in details by evaluating the flow from IR confining to UV conformal. Finally we lay down a calculational scheme to study bulk viscosity which, in turn, would signal the inherent non-conformality in this model.

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Ultraviolet complete model of largeNthermal QCD

Chen

Dasgupta

et al. 2013

Phys. Rev. D

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Many recent works on large N holographic QCD in the planar limit have not considered UV completions, restricting exclusively towards analyzing the IR physics. Due to this, the UV problems like Landau poles and divergences of Wilson loops including instabilities at high temperatures have not been addressed. In some of our recent papers, we have discussed a possible UV completion, which is conformal in the UV and confining in the far IR, that avoids the Landau poles and the Wilson loop divergences. In this paper we give a general field theoretic considerations of this including the complete RG flow. We extend our UV complete model to study scenarios both above and below the deconfinement temperature and argue how phase transition in our model should be understood. Interestingly, because of the UV completion, subtle issues like instability due to negative specific heat do not appear.

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Non-extremal geometries and holographic phase transitions

Cited by 4 publications

References 103 publications

Infrared dynamics of a large N QCD model, the massless string sector and mesonic spectra

Infrared dynamics of a large N QCD model, the massless string sector and mesonic spectra

Renormalization group flow, stability, and bulk viscosity in a large N thermal QCD model

Ultraviolet complete model of largeNthermal QCD

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