scholarly journals Extension to imaginary chemical potential in a holographic model

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Kazuo Ghoroku ◽  
Kouji Kashiwa ◽  
Yoshimasa Nakano ◽  
Motoi Tachibana ◽  
Fumihiko Toyoda
Keyword(s):  
Chemical Potential ◽  
Holographic Model

scholarly journals Holographic anisotropic model for light quarks with confinement-deconfinement phase transition

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Irina Ya. Aref’eva ◽  
Kristina Rannu ◽  
Pavel Slepov
Keyword(s):  
Phase Transition ◽  
Boundary Conditions ◽  
Chemical Potential ◽  
String Tension ◽  
Isotropic Case ◽  
Holographic Model ◽  
Anisotropic Model ◽  
Dilaton Field ◽  
Cornell Potential ◽  
Qcd Phase Diagram

Abstract We present a five-dimensional anisotropic holographic model for light quarks supported by Einstein-dilaton-two-Maxwell action. This model generalizing isotropic holographic model with light quarks is characterized by a Van der Waals-like phase transition between small and large black holes. We compare the location of the phase transition for Wilson loops with the positions of the phase transition related to the background instability and describe the QCD phase diagram in the thermodynamic plane — temperature T and chemical potential μ. The Cornell potential behavior in this anisotropic model is also studied. The asymptotics of the Cornell potential at large distances strongly depend on the parameter of anisotropy and orientation. There is also a nontrivial dependence of the Cornell potential on the boundary conditions of the dilaton field and parameter of anisotropy. With the help of the boundary conditions for the dilaton field one fits the results of the lattice calculations for the string tension as a function of temperature in isotropic case and then generalize to the anisotropic one.

scholarly journals Holographic colour superconductors at finite coupling with NJL Interactions

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Kazem Bitaghsir Fadafan ◽  
Jesús Cruz Rojas
Keyword(s):  
Equation Of State ◽  
Cooper Pair ◽  
Chemical Potential ◽  
Coupling Parameter ◽  
Einstein Gravity ◽  
Superconducting Phase ◽  
Holographic Model ◽  
Higher Derivative ◽  
Holographic Qcd ◽  
Holographic Description

AbstractWe study a bottom-up holographic description of the QCD colour superconducting phase in the presence of higher derivative corrections. We expand this holographic model in the context of Gauss–Bonnet (GB) gravity. The Cooper pair condensate has been investigated in the deconfinement phase for different values of the GB coupling parameter $$\lambda _{G B}$$ λ GB , we observe a change in the value of the critical chemical potential $$\mu _c$$ μ c in comparison to Einstein gravity. We find that $$\mu _c$$ μ c grows as $$\lambda _{G B}$$ λ GB increases. We add four fermion interactions and show that in the presence of these corrections the main interesting features of the model are still present and that the intrinsic attractive interaction can not be switched off. This study suggests to find GB corrections to equation of state of holographic QCD matter.

scholarly journals Entanglement entropy in strongly correlated systems with confinement/deconfinement phase transition and anisotropy

2019 ◽  
Vol 222 ◽  
pp. 03024 ◽  
Author(s):  
Pavel Slepov
Keyword(s):  
Heavy Ions ◽  
Chemical Potential ◽  
Entanglement Entropy ◽  
Three Dimensional ◽  
Entropy Density ◽  
Strongly Correlated ◽  
Holographic Model ◽  
Holographic Entanglement Entropy ◽  
Maxwell Fields ◽  
Deconfinement Phase Transition

Five-dimensional anisotropic gravity with nontrivial dilaton field and two Maxwell fields is chosen for the holographic model, which allows to reproduce the multiplicity dependence on energy obtained from heavy-ions collisions [1, 2]. Holographic entanglement entropy and its density are calculated for three-dimensional subsystems in this anisotropic background. These elongated subsystems have arbitrary spatial orientation in relation to the line of heavy-ions collisions. The divergences of holographic entanglement entropy are discussed. The entanglement entropy density has sharp spikes around the critical temperature for given chemical potential and anisotropy.

scholarly journals Chiral transport in curved spacetime via holography

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander Avdoshkin ◽  
Rustem Sharipov
Keyword(s):  
Chemical Potential ◽  
Gravitational Anomaly ◽  
Holographic Model ◽  
Third Order ◽  
Gravitational Fields ◽  
The Third ◽  
Transport Effect ◽  
Gradient Corrections ◽  
Quantum Anomalies ◽  
Gravity Duality

Abstract We consider a holographic model of strongly interacting plasma with a gravitational anomaly. In this model, we compute parity-odd responses of the system at finite temperature and chemical potential to external electromagnetic and gravitational fields. Working within the linearized fluid/gravity duality, we performed the calculation up to the third order in gradient expansion. Besides reproducing the chiral magnetic (CME) and vortical (CVE) effects we also obtain gradient corrections to the CME and CVE due to the gravitational anomaly. Additionally, we find energy-momentum and current responses to the gravitational field similarly determined by the gravitational anomaly. The energy-momentum response is the first purely gravitational transport effect that has been related to quantum anomalies in a holographic theory.

scholarly journals Holographic model for heavy quarks in anisotropic hot dense QGP with external magnetic field

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Irina Ya. Aref’eva ◽  
Kristina Rannu ◽  
Pavel Slepov
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Chemical Potential ◽  
Heavy Ion ◽  
Heavy Quarks ◽  
Maxwell Field ◽  
Holographic Model ◽  
Ion Collisions ◽  
Maxwell Fields ◽  
Transition Curves

Abstract We present a five-dimensional fully anisotropic holographic model supported by Einstein-dilaton-three-Maxwell action. One of the Maxwell fields provides chemical potential; finite chemical potential values are considered. The second Maxwell field serves for anisotropy, representing real spacial anisotropy of the QGP produced in heavy-ion collisions. The third Maxwell field is related to an external magnetic field. Influence of the external magnetic field on the 5-dim black hole solution and the confinement/deconfinement phase diagram, reconstructing the phase transition curves for heavy quarks, is considered. The effect of the inverse magnetic catalyses is revealed and positions of critical end points are found.

scholarly journals Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

2008 ◽  
Vol 2008 (02) ◽  
pp. 071-071 ◽  
Author(s):  
Ofer Aharony ◽  
Kasper Peeters ◽  
Jacob Sonnenschein ◽  
Marija Zamaklar
Keyword(s):  
Chemical Potential ◽  
Holographic Model ◽  
Rho Meson

scholarly journals Equation of state for holographic nuclear matter as instanton gas

2022 ◽  
Vol 258 ◽  
pp. 07005
Author(s):  
Kazuo Ghoroku ◽  
Kouji Kashiwa ◽  
Yoshimasa Nakano ◽  
Motoi Tachibana ◽  
Fumihiko Toyoda
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Chemical Potential ◽  
Compact Star ◽  
Superconducting Phase ◽  
Holographic Model ◽  
Quark Star ◽  
Baryon Chemical Potential ◽  
Dilute Gas ◽  
The One

In a holographic model, which was used to investigate the color superconducting phase of QCD, a dilute gas of instantons is introduced to study the nuclear matter. The free energy of the nuclear matter is computed as a function of the baryon chemical potential in the probe approximation. Then the equation of state is obtained at low temperature. Using the equation of state for the nuclear matter, the Tolman-Oppenheimer-Volkov equations for a cold compact star are solved. We find the mass-radius relation of the star, which is similar to the one for quark star. This similarity implies that the instanton gas given here is a kind of self-bound matter.

scholarly journals Towards holographic flat bands

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Nicolás Grandi ◽  
Vladimir Juričić ◽  
Ignacio Salazar Landea ◽  
Rodrigo Soto-Garrido
Keyword(s):  
Chemical Potential ◽  
Condensed Matter ◽  
Anomalous Hall Effect ◽  
Spectral Weight ◽  
Flat Band ◽  
Dirac Fermion ◽  
Holographic Model ◽  
Quantum Phases ◽  
Flat Bands ◽  
Dirac Systems

Abstract Motivated by the phenomenology in the condensed-matter flat-band Dirac systems, we here construct a holographic model that imprints the symmetry breaking pattern of a rather simple Dirac fermion model at zero chemical potential. In the bulk we explicitly include the backreaction to the corresponding Lifshitz geometry and compute the dynamical critical exponent. Most importantly, we find that such a geometry is unstable towards a nematic phase, exhibiting an anomalous Hall effect and featuring a Drude-like shift of its spectral weight. Our findings should motivate further studies of the quantum phases emerging from such holographic models.

Chemical potential and dimensions of chain molecules in athermal environments

1996 ◽  
Vol 89 (6) ◽  
pp. 1733-1754 ◽  
Author(s):  
FERNANDO ESCOBEDO ◽  
JUAN DE PABLO
Keyword(s):  
Chemical Potential ◽  
Chain Molecules
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