Holographic Nuclear Matter in AdS/QCD

Kim, Youngman; Lee, Chang-Hwan; Yee, Ho-Ung

doi:10.48550/arxiv.0707.2637

Cited by 19 publications

(31 citation statements)

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“…Notice that our estimation of the D5-brane mass qualitatively matches what is discussed in Ref. [13]; the D5-brane mass is a decreasing function of Q since y 0 is. Improvement of the framework in this direction is certainly an important subject.…”

Section: Discussion: An Interpretation Of the Present Setupsupporting

confidence: 88%

“…Thus we must first impose Gauss' law and then extremize over the Lagrange multiplier. This explains how, starting from the standard AdS/CFT prescription, we arrive at the definition (13).…”

Section: B Gauge-invariant Formulation Of Chemical Potentialmentioning

confidence: 99%

“…Here we have used the definition of the chemical potential (13) and the fact that the on-shell value of L dual is given by that of ∞ ρ min dρL D7 . It is interesting that the Gauss-law constraint (21) in the "electro-magnetism" on the flavor brane corresponds to the thermodynamic relation (23) in the YM theory.…”

Section: Connection To Thermodynamic Relationmentioning

confidence: 99%

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Baryon-Charge Chemical Potential in AdS/CFT

Nakamura

Seo

Sin

et al. 2008

Progress of Theoretical Physics

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We present a closed framework of AdS/CFT with finite U (1) B -charge chemical potential. We show how the gauge-invariant identification of the chemical potential with the bulk gauge field emerges from the standard AdS/CFT dictionary. Physical importance and necessity of the Minkowski embeddings within the present framework is also shown numerically in the D3-D7 systems. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and lowchemical-potential region in the grand-canonical ensemble, hence it is incomplete. A physical interpretation that explains these numerical results is also proposed.

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Section: Discussion: An Interpretation Of the Present Setupsupporting

confidence: 88%

“…Thus we must first impose Gauss' law and then extremize over the Lagrange multiplier. This explains how, starting from the standard AdS/CFT prescription, we arrive at the definition (13).…”

Section: B Gauge-invariant Formulation Of Chemical Potentialmentioning

confidence: 99%

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Baryon-Charge Chemical Potential in AdS/CFT

Nakamura

Seo

Sin

et al. 2008

Progress of Theoretical Physics

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“…The behavior of the Sakai-Sugimoto model at finite chemical potential has also been discussed (with a different focus from the present paper) in [23,24,26]. Discussions of the finite density behavior in other holographic models of QCD include [9,29,28,27,34] While this paper was in preparation, the paper [33] appeared, which has some overlap with the present work, in particular section 4.1.…”

Section: Related Workmentioning

confidence: 80%

Cold nuclear matter in holographic QCD

Rozali

Shieh

Raamsdonk

et al. 2008

J. High Energy Phys.

161

251

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We study the Sakai-Sugimoto model of holographic QCD at zero temperature and finite chemical potential. We find that as the baryon chemical potential is increased above a critical value, there is a phase transition to a nuclear matter phase characterized by a condensate of instantons on the probe D-branes in the string theory dual. As a result of electrostatic interactions between the instantons, this condensate expands towards the UV when the chemical potential is increased, giving a holographic version of the expansion of the Fermi surface. We argue based on properties of instantons that the nuclear matter phase is necessarily inhomogeneous to arbitrarily high density. This suggests an explanation of the "chiral density wave" instability of the quark Fermi surface in large N c QCD at asymptotically large chemical potential. We study properties of the nuclear matter phase as a function of chemical potential beyond the transition and argue in particular that the model can be used to make a semi-quantitative prediction of the binding energy per nucleon for nuclear matter in ordinary QCD.

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“…However, only part of the parameter space has been explored so far. Other models with finite baryon density have been studied in [19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Holographic nuclear physics

Bergman

Lippert

Lifschytz

2007

J. High Energy Phys.

191

309

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We analyze the phases of the Sakai-Sugimoto model at finite temperature and baryon chemical potential. Baryonic matter is represented either by 4-branes in the 8-branes or by strings stretched from the 8-branes to the horizon. We find the explicit configurations and use them to determine the phase diagram and equation of state of the model. The 4-brane configuration (nuclear matter) is always preferred to the string configuration (quark matter), and the latter is also unstable to density fluctuations. In the deconfined phase the phase diagram has three regions corresponding to the vacuum, quark-gluon plasma, and nuclear matter, with a first-order and a second-order phase transition separating the phases. We find that for a large baryon number density, and at low temperatures, the dominant phase has broken chiral symmetry. This is in qualitative agreement with studies of QCD at high density.

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Holographic Nuclear Matter in AdS/QCD

Cited by 19 publications

References 0 publications

Baryon-Charge Chemical Potential in AdS/CFT

Baryon-Charge Chemical Potential in AdS/CFT

Cold nuclear matter in holographic QCD

Holographic nuclear physics

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