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It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via…

High Energy Physics - Theory · Physics 2016-08-17 M. R. Mohammadi Mozaffar , A. Mollabashi , M. M. Sheikh-Jabbari , M. H. Vahidinia

We introduce a novel method for computing entanglement entropy across surfaces in Loop Quantum Gravity by employing techniques from quantum error correcting codes. In this construction, the redundancy encoded in the gauge invariant subspace…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Sean Tobin

We start with the Hamiltonian formulation of the first order action of pure gravity with a full $\mathfrak{sl}(2,\mathbb C)$ internal gauge symmetry. We make a partial gauge-fixing which reduces $\mathfrak{sl}(2,\mathbb C)$ to its…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Hongguang Liu , Karim Noui

We clarify the problem in which occasions can gravitational force be regarded emergent from thermodynamics, by proposing an entropic mechanism that can extract the entropic gradient existing in spacetime, due to the variation of the…

High Energy Physics - Theory · Physics 2021-10-01 Yang An , Peng Cheng

The vacuum entanglement entropy in quantum field theory provides nonperturbative information about renormalization group flows. Most studies so far have focused on the universal terms, related to the Weyl anomaly in even space-time…

High Energy Physics - Theory · Physics 2023-01-24 Lucas Daguerre , Matias Ginzburg , Gonzalo Torroba

We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the…

High Energy Physics - Theory · Physics 2024-08-26 Tom Banks , Willy Fischler

We use the Iyer-Wald formalism to derive an extended first law of entanglement that includes variations in the cosmological constant, Newton's constant and --in the case of higher-derivative theories-- all the additional couplings of the…

High Energy Physics - Theory · Physics 2017-06-14 Elena Caceres , Phuc H. Nguyen , Juan F. Pedraza

A half-BPS circular Wilson loop in $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion. The additional entanglement entropy of a…

High Energy Physics - Theory · Physics 2014-09-24 Simon A. Gentle , Michael Gutperle

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The…

High Energy Physics - Theory · Physics 2020-04-29 Hamid Afshar , Hernan Gonzalez , Daniel Grumiller , Dmitri Vassilevich

In this paper, I study the entanglement entropy in Hartle-Hawking states of JT gravity set up by a Euclidean path integral with an operator inserted somewhere along the Euclidean boundary. I show that the entanglement entropy between the…

High Energy Physics - Theory · Physics 2021-08-31 Jennifer Lin

Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Tadashi Takayanagi

We examine the holographic complexity conjectures in the context of holographic theories of FRW spacetimes. Analyzing first the complexity-action conjecture for a flat FRW universe with one component, we find that the complexity grows as…

High Energy Physics - Theory · Physics 2020-04-01 Reginald J. Caginalp

We show that the linearized higher derivative gravitational field equations are equivalent to an equilibrium condition on the entanglement entropy of small spherical regions in vacuum. This extends Jacobson's recent derivation of the…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Vincent S. Min , Antony J. Speranza , Manus R. Visser

The holographic duality conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and…

High Energy Physics - Theory · Physics 2024-04-17 Stephen Ebert

Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged $U(N)$ matrix quantum mechanics with two matrices whose ground…

High Energy Physics - Theory · Physics 2022-06-08 Alexander Frenkel , Sean A. Hartnoll

The aim of this dissertation is to clarify the structure of entanglement, a type of quantum correlations, in various quantum systems with a large number of degrees of freedom for holography between generic quantum systems and spacetimes…

High Energy Physics - Theory · Physics 2023-08-22 Takato Mori

Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be satisfied in any consistent theory of quantum gravity. In this paper, we…

High Energy Physics - Theory · Physics 2014-12-23 Nima Lashkari , Charles Rabideau , Philippe Sabella-Garnier , Mark Van Raamsdonk

For quantum gravity states associated to open spin network graphs, we study how the entanglement entropy of the boundary degrees of freedom (spins on open edges) is affected by the bulk data, specifically by its combinatorial structure and…

High Energy Physics - Theory · Physics 2022-03-14 Goffredo Chirco , Eugenia Colafranceschi , Daniele Oriti

We identify a special information-theoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A,B,C obey the inequality I(A:BC) >= I(A:B)+I(A:C), provided…

High Energy Physics - Theory · Physics 2013-07-25 Patrick Hayden , Matthew Headrick , Alexander Maloney
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