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Global Currents, Phase Transitions, and Chiral Symmetry Breaking in Large N_c Gauge Theory
High Energy Physics - Theory · Submitted 17 May 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass, generalizing similar transitions seen at zero charge.
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The abstract, sentence by sentence
We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$ gauge theory for large $N_c$, with fundamental quark flavours in a quenched approximation, in the presence of a fixed R--charge under a global R--current. We observe several notable phenomena. There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass, generalizing similar transitions seen at zero charge. Our tool in these studies is holography, the string dual of the gauge theory being the geometry of $N_c$ spinning D3--branes at finite temperature, probed by a D7--brane.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$ gauge theory for large $N_c$, with fundamental quark flavours in a quenched approximation, in the presence of a fixed R--charge under a global R--current. | contribution 0.98 | 0.80 | 0.06 | asserted 0.90 |
| s1 | We observe several notable phenomena. | result 0.65 | 0.70 | 0.02 | asserted 0.76 |
| s2 | There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass, generalizing similar transitions seen at zero charge. | result 1.00 | 0.92 | 0.52 | asserted 1.00 |
| s3 | Our tool in these studies is holography, the string dual of the gauge theory being the geometry of $N_c$ spinning D3--branes at finite temperature, probed by a D7--brane. | method 1.00 | 0.33 | 0.04 | asserted 1.00 |
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The paper
Original abstract
We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$ gauge theory for large $N_c$, with fundamental quark flavours in a quenched approximation, in the presence of a fixed R--charge under a global R--current. We observe several notable phenomena. There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass, generalizing similar transitions seen at zero charge. Our tool in these studies is holography, the string dual of the gauge theory being the geometry of $N_c$ spinning D3--branes at finite temperature, probed by a D7--brane.
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References
How the literature uses it
12 arXiv papers cite this in 23 sentences
Papers citing it · 13 sentences without a confident label
Builds on it 1 paper
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We show, following the higher dimensional analysis in [ref] that there are regular D5 embeddings into the interior which have a more complicated embedding structure.
R-Charge Chemical Potential in a 2+1 Dimensional System · Introduction · 0.81
Uses its method or tool 5 papers
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It is convenient to use infrared initial conditions [ref] .
External Fields and the Dynamics of Fundamental Flavours in Holographic Duals of Large N Gauge Theories · 3.4.2 Numerical analysis · 0.94
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We will introduce a chemical potential for the quasi-particles with respect to a U(1) subgroup of the SO(3)- this can be done by simply spinning the D5 branes in an SO(2) plane [ref] .
Chemical Potential in the Gravity Dual of a 2+1 Dimensional System · Introduction · 0.80
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We will introduce a chemical potential for the quasi-particles with respect to the U(1) - this can be done by simply spinning the D5 branes in the SO(2) plane [ref] .
R-Charge Chemical Potential in a 2+1 Dimensional System · Introduction · 0.85
Compares with it 2 papers
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In [ref] an analysis similar to our “naive ansatz" was performed suggesting spontaneous symmetry breaking.
Chemical Potential in the Gravity Dual of a 2+1 Dimensional System · The D3-D7 System · 0.92
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This recalls similar behavior in holographic large-$N$ gauge theories [ref] , specifically chiral symmetry breaking [ref] .
Structure of Holographic BCFT Correlators from Geodesics · Introduction · 0.93
Cites it as background 2 papers
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In the T-dual picture, having a constant electric field on the worldvolume of the probe brane is equivalent to considering the brane with some angular velocity, as considered in e.g. [ref] .
Chiral Symmetry Breaking and External Fields in the Kuperstein-Sonnenschein Model · Introduction · 0.86
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Itfuture challenges would be certainly interesting to extend the techniques developed in this thesis to a more realistic example of AdS/QCD.[In particular the heavy-light meson construction could be easily extended to other, more realistic models.] Over the last years there has been steady progress towards such a description, including string theory duals of theories that exhibit chiral symmetry breaking [ref] .
Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local Couplings · Introduction · 0.91
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