Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma

Gutiez, Diego; Hoyos, Carlos

doi:10.1007/jhep10(2020)119

Cited by 4 publications

(6 citation statements)

References 56 publications

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“…Another interesting extension of this work would be to include in the analysis non-trivial profiles of the string in the transverse directions, generalizing the results of [4,5]. It should be noted that a Schwarzian action for transverse fluctuations can also appear when the string is embedded in AdS 3 [24,25], but it is related to diffeomorphisms in the target space, rather than to worldsheet transformations.…”

Section: Discussionmentioning

confidence: 90%

“…Then, by fitting the coefficients of the cutoff action, one may be able to capture the right UV physics in the holographic dual, while remaining in the region where gravity is weakly coupled. For Wilson loops, which is our topic of interest here, the cutoff action has been studied in [4,5], following the general approach of holographic Wilsonian renormalization [6,7]. Wilson loops provide a complete set of gauge invariant operators that could in principle be used to compute any observable in Yang-Mills theory, and determine directly some important phenomenological quantities like the quark-antiquark potential.…”

Section: Introductionmentioning

confidence: 99%

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Holographic RG flow and reparametrization invariance of Wilson Loops

Gutiez¹,

Hoyos²

2022

Preprint

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We study the fate of reparametrization invariance of Wilson loops, also known as 'zig-zag' symmetry, under the RG flow using some simple cases as guidance. We restrict our analysis to large-N , strongly coupled CFTs and use the holographic dual description of a Wilson loop as a fundamental string embedded in asymptotically AdS spaces, at zero and nonzero temperature. We then introduce a cutoff in the holographic radial direction and integrate out the the section of the string closer to the AdS boundary in the spirit of holographic Wilsonian renormalization. We make explicit the map between Wilson loop reparametrizations and conformal transformation of the string worldsheet and show that a cutoff anchored to the worldsheet breaks conformal invariance and induces an effective defect action for reparametrizations at the cutoff scale, in a way similar to nearly-AdS2 gravity or SYK models. On the other hand, a cutoff in the target space breaks worldsheet diffeomorphisms and Weyl transformations but keeps conformal transformations unbroken and does not generate a non-trivial action for reparametrizations.

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Section: Discussionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Holographic RG flow and reparametrization invariance of Wilson Loops

Gutiez¹,

Hoyos²

2022

Preprint

Self Cite

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“…Similar arguments can be made for holographic Wilson loops, where one can additionally interpret the conserved momentum as a force acting on the external quark traversing the plasma[176].…”

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confidence: 73%

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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“…A systematic way to construct the effective action is by performing a derivative expansion of the embedding functions close to the cutoff with respect to the worldline coordinate of the Wilson loop, which remains valid as long as derivatives are small compared to a scale set by the value of the cutoff. For instance, if the Wilson loop describes a trajectory (t(τ ), x(τ )) at the asymptotic boundary then, in the static gauge t = τ the cutoff action takes the form [5]…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Holographic RG flow and reparametrization invariance of Wilson loops

Gutiez

Hoyos

2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We study the fate of reparametrization invariance of Wilson loops, also known as ‘zig-zag’ symmetry, under the RG flow using some simple cases as guidance. We restrict our analysis to large-N, strongly coupled CFTs and use the holographic dual description of a Wilson loop as a fundamental string embedded in asymptotically AdS spaces, at zero and nonzero temperature. We then introduce a cutoff in the holographic radial direction and integrate out the section of the string closer to the AdS boundary in the spirit of holographic Wilsonian renormalization. We make explicit the map between Wilson loop reparametrizations and conformal transformation of the string worldsheet and show that a cutoff anchored to the worldsheet breaks conformal invariance and induces an effective defect action for reparametrizations at the cutoff scale, in a way similar to nearly-AdS2 gravity or SYK models. On the other hand, a cutoff in the target space breaks worldsheet diffeomorphisms and Weyl transformations but keeps conformal transformations unbroken and does not generate a non-trivial action for reparametrizations.

show abstract

Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma

Cited by 4 publications

References 56 publications

Holographic RG flow and reparametrization invariance of Wilson Loops

Holographic RG flow and reparametrization invariance of Wilson Loops

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

Holographic RG flow and reparametrization invariance of Wilson loops

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