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Book ChapterDOI

Emergence of Gravity and RG Flow

Ayan Mukhopadhyay
- Vol. 187, pp 283-302
TLDR
In this paper, Padmanabhan et al. reformulated Einstein's equations in AdS as a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs.
Abstract
This is a tribute to Padmanabhan’s works on the holographic principle which have consistently enunciated the profound philosophy that the classical equations of gravity themselves hold the key to understanding their holographic origin. I discuss how this can be realised by reformulating Einstein’s equations in AdS as a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs. For a concrete demonstration, I focus on the hydrodynamic limit in which case this RG flow connects the AdS/CFT correspondence with the membrane paradigm.

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Citations
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BookDOI

A Practical Mini-Course on Applied Holography

TL;DR: In this paper, the authors present a collection of notes based on lectures given at IIT Madras in September 2019 and at IFT Madrid in November 2019 on applied holography and especially the analytic and numerical techniques involved.
References
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Journal ArticleDOI

Holographic gravity and the surface term in the Einstein-Hilbert action

TL;DR: In this article, it is shown that the true degrees of freedom of gravity reside in the surface term of the action, making gravity intrinsically holographic, and the bulk term can be derived from the surface terms.
Journal ArticleDOI

Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma.

TL;DR: New evolution equations for general flows are formulated and tested which reproduce the results of MIS theory when initialized close to the hydrodynamic stage of evolution, but give a more accurate description of the dynamics when initial conditions are set in the preequilibrium regime.
Proceedings ArticleDOI

The Holographic Principle

TL;DR: In this paper, a pedagogical overview of the present status of high-energy physics at the Planck scale is given, and an introduction is given to a notion that became known as ''the holographic principle'' in Planck-scale physics, which is arrived at by studying quantum mechanical features of black holes.
Journal ArticleDOI

The Holography of Gravity encoded in a relation between Entropy, Horizon area and Action for gravity

TL;DR: In this paper, a general proof of the conjecture that one can attribute an entropy to the area of any horizon is given, by constructing a canonical ensemble of a subclass of spacetimes with a fixed value for the temperature.
Journal ArticleDOI

Diffeomorphisms, anomalies and the Fefferman-Graham ambiguity

TL;DR: Using the Weyl transfomations induced by diffeomorphisms, the authors set up a cohomological problem for the Fefferman-Graham coefficients, which removed the ambiguity and gave the non-local terms in the effective action responsible for trace anomalies.
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