Exact holographic RG flows and the A1 × A1 Toda chain

Aref’eva, I. Ya.; Golubtsova, Anastasia A.; Policastro, Giuseppe

doi:10.1007/jhep05(2019)117

Cited by 14 publications

(23 citation statements)

References 36 publications

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“…Note, that in [108] an explicit isotropic solution for the dilaton potential as a sum of two exponents and zero chemical potential has been constructed. The isotropic version of the model has beed considered earlier in [109].…”

Section: Anisotropic Model With Symmetry In Transversal Directionsmentioning

confidence: 99%

Holographic anisotropic background with confinement-deconfinement phase transition

Aref’eva

Rannu

2018

J. High Energ. Phys.

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We present new anisotropic black brane solutions in 5D Einstein-dilaton-twoMaxwell system. The anisotropic background is specified by an arbitrary dynamical exponent ν, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to ν = 1 and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram.We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points (µ ϑ,b , T ϑ,b ) depending on the orientation ϑ of quark-antiquark pairs in respect to the heavy ions collision line.

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Section: Anisotropic Model With Symmetry In Transversal Directionsmentioning

confidence: 99%

Holographic anisotropic background with confinement-deconfinement phase transition

Aref’eva

Rannu

2018

J. High Energ. Phys.

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“…Note, that in [118] an explicit isotropic solution for the dilaton potential as a sum of two exponents and zero chemical potential has been constructed. The isotropic version of the model has beed considered earlier in [119].…”

Section: Anisotropic Model With Symmetry In Transversal Directionsmentioning

confidence: 99%

Holographic entanglement entropy in anisotropic background with confinement-deconfinement phase transition

Aref’eva

Patrushev

Slepov

2020

J. High Energ. Phys.

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We discuss a general five-dimensional completely anisotropic holographic model with three different spatial scale factors, characterized by a Van der Waals-like phase transition between small and large black holes. A peculiar feature of the model is the relation between anisotropy of the background and anisotropy of the colliding heavy ions geometry. We calculate the holographic entanglement entropy (HEE) of the slab-shaped region, the orientation of which relatively to the beams line and the impact parameter is characterized by the Euler angles. We study the dependences of the HEE and its density on the thermodynamic (temperature, chemical potential) and geometric (parameters of anisotropy, thickness, and orientation of entangled regions) parameters. As a particular case the model with two equal transversal scaling factors is considered. This model is supported by the dilaton and two Maxwell fields. In this case we discuss the HEE and its density in detail: interesting features of this model are jumps of the entanglement entropy and its density near the line of the small/large black hole phase transition. These jumps depend on the anisotropy parameter, chemical potential, and orientation. We also discuss different definitions and behavior of c-functions in this model. The c-function calculated in the Einstein frame decreases while is increasing for all in the isotropic case (in regions of (µ, T )-plane far away from the line of the phase transition). We find the non-monotonicity of the c-functions for several anisotropic configurations, which however does not contradict with any of the existing c-theorems since they all are based on Lorentz invariance.

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“…Различные непертурбативные явления, недоступные в дуальной полевой теории, можно исследовать в контексте голографического ренормгруппового потока [11], [12]. Существует класс полезных голографических моделей типа "снизу-вверх" [13]- [15], которые интересны, поскольку их можно изучать аналитически, в то же время воспроизводя черты реальной квантовой хромодинамики (КХД), в частности поведение бегущей константы связи [16], [17].…”

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“…В работе [17] построены точные голографические ренормгрупповые потоки для модели с дилатонным потенциалом, который представляет собой сумму двух экспоненциальных функций. Выбор потенциала, с одной стороны, мотивирован приложениями к изучению поздней стадии экволюции кварк-глюонной плазмы [18].…”

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“…В контексте голографического ренормгруппового потока гравитационная модель с одной экспонентой обсуждалась в работе [21]. Модель из статьи [17] представляется разрешимой и может быть сведена к цепочке Тоды A 1 × A 1 . Показано, что поведение бегущей константы λ, найденной из аналитических решений, может имитировать то, что наблюдается в КХД.…”

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Wilson loops in exact holographic RG flows at zero and finite temperatures

Голубцова¹,

Golubtsova

Нгуен

et al. 2020

TMF

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В контексте голографической дуальности изучаются прямоугольные времениподобные петли Вильсона для больших расстояний в точном ренормгрупповом потоке. Рассматривается пятимерная голографическая модель с экспоненциальным дилатонным потенциалом. Для исследования бэкграунда ренормгрупповых потоков при нулевой и конечной температурах вычисляются минимальные поверхности соответствующих струнных мировых листов. Показано, что голографический ренормгрупповой поток при $T=0$, который имитирует поведение бегущей константы связи квантовой хромодинамики, имеет фазу конфайнмента на больших расстояниях, в то время как ренормгрупповой поток с фиксированной точкой АдС в ультрафиолетовом пределе содержит только фазу деконфайнмента.

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Exact holographic RG flows and the A1 × A1 Toda chain

Cited by 14 publications

References 36 publications

Holographic anisotropic background with confinement-deconfinement phase transition

Holographic anisotropic background with confinement-deconfinement phase transition

Holographic entanglement entropy in anisotropic background with confinement-deconfinement phase transition

Wilson loops in exact holographic RG flows at zero and finite temperatures

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