Holographic renormalization and anisotropic black branes in higher curvature gravity

Jahnke, Viktor; Misobuchi, Anderson Seigo; Trancanelli, Diego

doi:10.1007/jhep01(2015)122

Cited by 27 publications

(39 citation statements)

References 143 publications

(302 reference statements)

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“…This counterterm is not known to all orders in λ, although it was derived perturbatively in λ in [39][40][41]. The relation with entanglement entropy immediately gives the coefficient of this counterterm to be…”

Section: Higher Derivative Generalizationsmentioning

confidence: 99%

Renormalized entanglement entropy

Taylor

Woodhead

2016

J. High Energ. Phys.

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We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter spacetimes in general dimensions and for entangling surfaces in four dimensional holographic renormalization group flows. The renormalized entanglement entropy for disk regions in AdS 4 spacetimes agrees precisely with the holographically renormalized action for AdS 4 with spherical slicing and hence with the F quantity, in accordance with the Casini-HuertaMyers map. We present a generic class of holographic RG flows associated with deformations by operators of dimension 3/2 < ∆ < 5/2 for which the F quantity increases along the RG flow, hence violating the strong version of the F theorem. We conclude by explaining how the renormalized entanglement entropy can be derived directly from the renormalized partition function using the replica trick i.e. our renormalization method for the entanglement entropy is inherited directly from that of the partition function. We show explicitly how the entanglement entropy counterterms can be derived from the standard holographic renormalization counterterms for asymptotically locally anti-de Sitter spacetimes.

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Section: Higher Derivative Generalizationsmentioning

confidence: 99%

Renormalized entanglement entropy

Taylor

Woodhead

2016

J. High Energ. Phys.

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“…Gauss-Bonnet (GB) gravity has been extensively studied as prototype of a higher derivative theory. From the early results on violations of the η/s bound [13,14] and transport coefficients [15][16][17] to recent studies of holographic liquids [18] and anisotropic plasmas at finite coupling [19], it has been a favorite holographic laboratory where to study finite coupling effects because its equations of motion are second order and asymptotically AdS black hole analytic solutions are known. Let us underline couple of points.…”

Section: Jhep09(2017)127mentioning

confidence: 99%

Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

Cáceres

Sanchez

Virrueta

2017

J. High Energ. Phys.

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Abstract:We investigate entanglement entropy in Gauss-Bonnet gravity following a global quench. It is known that in dynamical scenarios the entanglement entropy probe penetrates the apparent horizon. The goal of this work is to study how far behind the horizon can the entanglement probe reach in a Gauss-Bonnet theory. We find that the behavior is quite different depending on the sign of the Gauss-Bonnet coupling λ GB . For λ GB > 0 the behavior of the probes is just as in Einstein gravity; the probes do not reach the singularity but asymptote to a locus behind the apparent horizon. We calculate the minimum radial position r min reached by the probes and show that for λ GB > 0 they explore less of the spacetime behind the horizon than in Einstein gravity. On the other hand, for λ GB < 0 the results are strikingly different; for early times a new family of solutions appears. These new solutions reach arbitrarily close to the singularity. We calculate the entanglement entropy for the two family of solutions with λ GB < 0 and find that the ones that reach the singularity are the ones of less entanglement entropy. Thus, for λ GB < 0 the holographic entanglement entropy probes further behind the horizon than in Einstein gravity. In fact, for early times it can explore all the way to the singularity.

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“…[258] -see also Refs. [259,260] for extensions of this axion+dilaton model; the result resembles some qualitative features of the viscosities obtained from the magnetic brane background as we shall see ahead. By the same token, one can find model with a dilaton driven anisotropy [261,262], an anisotropic SU (2) model used for superfluids [263][264][265], and a black brane whose temperature is modulated by the spatial directions x [266,267].…”

Section: Corrections Tosupporting

confidence: 50%

Strongly coupled non-Abelian plasmas in a magnetic field

Critelli¹

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Plasmas não-Abelianos fortemente acoplados em um campo magnético (Strongly coupled non-Abelian plasmas in a magnetic field). São Paulo, 2016. Nesta dissertação utilizamos uma abordagem via dualidade gauge/gravity para estudar a dinâmica de plasmas não-Abelianos fortemente interagentes. Nosso objetivo último visa aplicações para o plasma de quarks e glúons (QGP), cujo interesse científico cresceu exponencialmente depois de sua descoberta em meados dos anos 2000 ao colidir-se íons ultrarelativísticos. Dissertação (Mestrado)-Podemos enriquecer a dinâmica do QGP ao adicionarmos campos externos, como o potencial químico (para exploração do diagrama de fases hadrônico), ou um campo magnético. Nesta dissertação, tomamos como norte a exploração dos efeitos magnéticos. De fato, acredita-se que campos magnéticos da ordem de eB ∼ 10m 2 π sejam criados nos estágios iniciais do QGP.O observável escolhido para sondar possíveis efeitos do campo magnético no QGP foi a viscosidade, em partes pelo famoso resultado η/s = 1/4π obtido holograficamente. Utilizamos num primeiro momento uma caricatura da QCD, a N = 4 super Yang-Mills para calcular o que muda na viscosidade com o advento do campo magnético. Devemos salientar, contudo, que um plasma altamente magnetizado possui a priori sete coeficientes de viscosidade (cinco de cisalhamento e duas volumétricas). Também exploramos, nesse mesmo modelo, o potencial de um par pesado de quark-antiquark na presença de um campo magnético.Por fim, propomos um modelo holográfico fenomenológico mais semelhante a QCD, sendo ele "calibrado" pelos dados da QCD na rede, para estudar a termodinâmica e a viscosidade do QGP imerso num forte campo magnético. In this dissertation we use the gauge/gravity duality approach to study the dynamics of strongly coupled non-Abelian plasmas. Ultimately, we want to understand the properties of the quark-gluon plasma (QGP), whose scientifc interest by the scientific community escalated exponentially after its discovery in the 2000's through the collision of ultrarelativistic heavy ions.One can enrich the dynamics of the QGP by adding an external field, such as the baryon chemical potential (needed to study the QCD phase diagram), or a magnetic field. In this dissertation, we choose to investigate the magnetic effects. Indeed, there are compelling evidences that strong magnetic fields of the order eB ∼ 10m 2 π are created in the early stages of ultrarelativistic heavy ion collisions.The chosen observable to scan possible effects of the magnetic field on the QGP was the viscosity, due to the famous result η/s = 1/4π obtained via holography. In a first approach we use a caricature of the QGP, the N = 4 super Yang-Mills plasma to calculate the deviations of the viscosity as we add a magnetic field. We must emphasize, though, that a magnetized plasma has a priori seven viscosity coefficients (five shears and two bulks). In addition, we also study in this same model the anisotropic heavy quark-antiquark potential in the presence of a magnetic field.In the end, we propose ...

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Holographic renormalization and anisotropic black branes in higher curvature gravity

Cited by 27 publications

References 143 publications

Renormalized entanglement entropy

Renormalized entanglement entropy

Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

Strongly coupled non-Abelian plasmas in a magnetic field

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