Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd’s bound as a possible renormalization condition

Ávila, Daniel; Díaz, César; Patiño, Leonardo; Olivas, Yaithd D.

doi:10.1103/physrevd.104.066011

Cited by 4 publications

(6 citation statements)

References 54 publications

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“…Not less important, regarding the gauge/gravity correspondence, is the presentation we do of the tendimensional family of backgrounds and the embedding of D7-branes into it, both of which we constructed numerically, since analytic solutions eluded our treatment. Numerical details of what we present here, along with further information about physical quantities affected by the magnetic field in this context, will be available in [19].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

“…The details of the renormalization for S D7 , that will be available in [19], indicate the existence of some freedom in choosing the renormalization scheme. Since all the qualitative results are scheme independent, in this letter we work in a fixed scheme of which the particulars are not relevant, and leave other instanses for [19].…”

Section: Magnetic Meson Melting (Mmm)mentioning

confidence: 99%

“…In this example b mmm /T 2 = 2.52. the thermodynamic analysis of the transition requires to find the temperature dependence of the free energy at fixed magnetic field, the entropy density computed from it, and the specific heat C b . This will be presented in [19].…”

Section: Magnetic Meson Melting (Mmm)mentioning

confidence: 99%

“…The spectrum of the mesons in the gauge theory can be determined by finding the stable normal modes of the Minkowski embeddings [22][23][24][25][26] for excitations of either vibrational modes or those of the world volume U(1) field. To demonstrate the effect that the magnetic field has over the meson spectrum, in this letter we will only study those that correspond to perturbations of the embedding in directions perpendicular to it and leave other sectors to be presented in [19].…”

Section: Meson Spectrummentioning

confidence: 99%

“…Once reduced over the 3-cycle, the dependence of the perturbations on its coordinates is related to the r-charges of the states in a Kaluza-Klein tower. For concreteness we will focus on perturbations χ 1 (X) that do not depend on the coordinates of the 3cycle and leave other examples for [19].…”

Section: Meson Spectrummentioning

confidence: 99%

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Melting holographic mesons by applying a magnetic field

Ávila,

Patiño

2019

Preprint

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In the present letter we use holographic methods to show that a very intense magnetic field lowers the temperature at which the mesons melt and decreases the mass gap of the spectrum along with their masses. Consequently, there is a range of temperatures for which mesons can be melted by applying a magnetic field instead of increasing the temperature. We term this effect Magnetic Meson Melting (MMM), and we are able to observe it by constructing a configuration that makes it possible to apply gauge/gravity methods to study fundamental degrees of freedom in a quark-gluon plasma subject to a magnetic field as intense as that expected in high energy collisions. This is achieved by the confection of a ten-dimensional background that is dual to the magnetized plasma and nonetheless permits the embedding of D7-branes in it. For such a background to exist, a scalar field has to be present and hence a scalar operator of dimension 2 appears in the gauge theory. We present here the details of the background and of the embedding of flavor D7-branes in it. Since our results are obtained from the gravity dual of the gauge theory, the analysis is also interesting from the gravitational perspective.

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Section: Introduction and Main Resultsmentioning

confidence: 99%

Section: Magnetic Meson Melting (Mmm)mentioning

confidence: 99%

Section: Magnetic Meson Melting (Mmm)mentioning

confidence: 99%

Section: Meson Spectrummentioning

confidence: 99%

Section: Meson Spectrummentioning

confidence: 99%

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Melting holographic mesons by applying a magnetic field

Ávila,

Patiño

2019

Preprint

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Generalized volume-complexity for two-sided hyperscaling violating black branes

Omidi

2023

J. High Energ. Phys.

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In this paper, we investigate generalized volume-complexity $$ \mathcal{C} $$ C gen for a two-sided uncharged HV black brane in d + 2 dimensions. This quantity which was recently introduced in [48], is an extension of volume in the Complexity=Volume (CV) proposal, by adding higher curvature corrections with a coupling constant λ to the volume functional. We numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for different values of the hyperscaling violation exponent θ and dynamical exponent z. It is observed that $$ \mathcal{C} $$ C gen always grows linearly at late times provided that we choose λ properly. Moreover, it approaches its late time value from below. For the case λ = 0, we find an analytic expression for the late time growth rate for arbitrary values of θ and z. However, for λ ≠ 0, the late time growth rate can only be calculated analytically for some specific values of θ and z. We also examine the dependence of the growth rate on d, θ, z and λ. Furthermore, we calculate the complexity of formation obtained from volume-complexity and show that it is not UV divergent. We also examine its dependence on the thermal entropy and temperature of the black brane. At the end, we also numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for the case where the higher curvature corrections are a linear combination of the Ricci scalar, square of the Ricci tensor and square of the Riemann tensor. We show that for appropriate values of the coupling constants, the late time growth rate is again linear.

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On the time dependence of holographic complexity for charged AdS black holes with scalar hair

Auzzi

Bolognesi

Rabinovici

et al. 2022

J. High Energ. Phys.

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In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordström black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1, 2]. We study the time-dependence of holographic complexity, both for the volume and for the action proposals, in a class of models with hairy black holes. Volume complexity can only probe a portion of the black hole interior that remains far away from the Kasner singularity. We provide numerical evidence that the Lloyd bound is satisfied by the volume complexity rate in all the parameter space that we explored. Action complexity can instead probe a portion of the spacetime closer to the singularity. In particular, the complexity rate diverges at the critical time tc for which the Wheeler-DeWitt patch touches the singularity. After the critical time the action complexity rate approaches a constant. We find that the Kasner exponent does not directly affect the details of the divergence of the complexity rate at t = tc and the late-time behaviour of the complexity. The Lloyd bound is violated by action complexity at finite time, because the complexity rate diverges at t = tc. We find that the Lloyd bound is satisfied by the asymptotic action complexity rate in all the parameter space that we investigated.

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Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd’s bound as a possible renormalization condition

Cited by 4 publications

References 54 publications

Melting holographic mesons by applying a magnetic field

Melting holographic mesons by applying a magnetic field

Generalized volume-complexity for two-sided hyperscaling violating black branes

On the time dependence of holographic complexity for charged AdS black holes with scalar hair

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