Scattering length from holographic duality

Hoyos, Carlos; Jokela, Niko; Logares, Daniel

doi:10.1103/physrevd.101.046028

Cited by 8 publications

(17 citation statements)

References 44 publications

(42 reference statements)

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“…1 For the hard wall model, analogous figures can be found in Ref. [7] (Figs. 1, 2, and 3); there one can observe a similar behavior for the scattering length as a function of the masses.…”

Section: Introductionsupporting

confidence: 72%

“…Our analysis has been limited to a quartic contact interaction among scalars; see Ref. [7] for a discussion on generalizations to higher-order polynomial Lagrangians. It would be interesting to extend our framework to include the coupling to the metric, as well as to introduce other fields of different spin-in particular, gauge fields.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we present the salient features of Ref. [7] to compute scattering amplitudes in d-dimensional strongly coupled theories with a (d þ 1)-dimensional holographic dual. In holographic models that are dual to a confining theory, there is a discrete spectrum of normalizable modes that map to particles, glueballs, or mesons in the field theory dual.…”

Section: Scattering Length In Holographic Theoriesmentioning

confidence: 99%

“…If d eff ¼ 4, the scattering length for two-to-two elastic scattering can be determined directly from the previous amplitude using the formula derived in Ref. [7]:…”

Section: B Residues and Quartic Vertex Contributionmentioning

confidence: 99%

“…In Ref. [7], we proposed a method to compute scattering amplitudes and scattering lengths in theories with a mass gap and a discrete spectrum via holographic duality. We will dub these cases as "confining," even though we will not discuss the behavior of Wilson loops in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Scattering length in holographic confining theories

2020

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The low-energy effective theory description of a confining theory, such as QCD, is constructed, including local interactions between hadrons organized in a derivative expansion. This kind of approach also applies more generically to theories with a mass gap, once the relevant low-energy degrees of freedom are identified. The strength of local interactions in the effective theory is determined by the low-momentum expansion of scattering amplitudes, with the scattering length capturing the leading order. We compute the main contribution to the scattering length between two spin-zero particles in strongly coupled theories using the gauge/gravity duality. We study two different theories with a mass gap: a massive deformation of N ¼ 4 super-Yang-Mills theory (N ¼ 1 Ã) and a nonsupersymmetric five-dimensional theory compactified on a circle. These cases have a different realization of the mass gap in the dual gravity description: the former is the well-known GPPZ singular solution and the latter a smooth AdS 6 soliton geometry. We find that the scattering lengths have similar functional dependences on the masses of the particles and on the conformal dimension of the operators that create them in both theories. Assuming these similarities hold more generally, they could be used to constrain the effective description of gapped strongly coupled theories beyond symmetry considerations.

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“…1 For the hard wall model, analogous figures can be found in Ref. [7] (Figs. 1, 2, and 3); there one can observe a similar behavior for the scattering length as a function of the masses.…”

Section: Introductionsupporting

confidence: 72%

Section: Discussionmentioning

confidence: 99%

Section: Scattering Length In Holographic Theoriesmentioning

confidence: 99%

“…If d eff ¼ 4, the scattering length for two-to-two elastic scattering can be determined directly from the previous amplitude using the formula derived in Ref. [7]:…”

Section: B Residues and Quartic Vertex Contributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering length in holographic confining theories

2020

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Gravitational waves from a holographic phase transition

Ares

Hindmarsh

Hoyos

et al. 2021

J. High Energ. Phys.

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We investigate first order phase transitions in a holographic setting of five-dimensional Einstein gravity coupled to a scalar field, constructing phase diagrams of the dual field theory at finite temperature. We scan over the two-dimensional parameter space of a simple bottom-up model and map out important quantities for the phase transition: the region where first order phase transitions take place; the latent heat, the transition strength parameter α, and the stiffness. We find that α is generically in the range 0.1 to 0.3, and is strongly correlated with the stiffness (the square of the sound speed in a barotropic fluid). Using the LISA Cosmology Working Group gravitational wave power spectrum model corrected for kinetic energy suppression at large α and non-conformal stiffness, we outline the observational prospects at the future space-based detectors LISA and TianQin. A TeV-scale hidden sector with a phase transition described by the model could be observable at both detectors.

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Quantum information probes of charge fractionalization in large-N gauge theories

DiNunno

Jokela

Pedraza

et al. 2021

J. High Energ. Phys.

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We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-N gauge theories. For concreteness, we focus on a simple holographic (2 + 1)-dimensional strongly coupled electron fluid whose charged states organize themselves into fractionalized and coherent patterns at sufficiently low temperatures. However, we expect that our results are quite generic and applicable to a wide range of systems, including non-holographic. The probes we consider include the entanglement entropy, mutual information, entanglement of purification and the butterfly velocity. The latter turns out to be particularly useful, given the universal connection between momentum and charge diffusion in the vicinity of a black hole horizon. The RT surfaces used to compute the above quantities, though, are largely insensitive to the electric flux in the bulk. To address this deficiency, we propose a generalized entanglement functional that is motivated through the Iyer-Wald formalism, applied to a gravity theory coupled to a U(1) gauge field. We argue that this functional gives rise to a coarse grained measure of entanglement in the boundary theory which is obtained by tracing over (part) of the fractionalized and cohesive charge degrees of freedom. Based on the above, we construct a candidate for an entropic c-function that accounts for the existence of bulk charges. We explore some of its general properties and their significance, and discuss how it can be used to efficiently account for charged degrees of freedom across different energy scales.

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Scattering length from holographic duality

Cited by 8 publications

References 44 publications

Scattering length in holographic confining theories

Scattering length in holographic confining theories

Gravitational waves from a holographic phase transition

Quantum information probes of charge fractionalization in large-N gauge theories

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