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Related papers: Remarks on entanglement entropy for gauge fields

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A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Fursaev

In this paper we consider entanglement entropies in two-dimensional conformal field theories in the presence of topological interfaces. Tracing over one side of the interface, the leading term of the entropy remains unchanged. The interface…

High Energy Physics - Theory · Physics 2016-11-03 Enrico M. Brehm , Ilka Brunner , Daniel Jaud , Cornelius Schmidt-Colinet

We obtain entanglement entropy on the noncommutative (fuzzy) two-sphere. To define a subregion with a well defined boundary in this geometry, we use the symbol map between elements of the noncommutative algebra and functions on the sphere.…

High Energy Physics - Theory · Physics 2014-04-02 Joanna L. Karczmarek , Philippe Sabella-Garnier

The role of symmetries in what concerns entanglement entropy has been extensively explored in the last years and revealed a profound connection with the quantum field theory's algebraic structure. Recently, it was found that some universal…

High Energy Physics - Theory · Physics 2022-07-13 Marina Huerta , Guido van der Velde

We consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on…

High Energy Physics - Theory · Physics 2015-06-17 Christopher Eling , Yaron Oz , Stefan Theisen

We study the entanglement structure of lattice gauge theories from the local operational point of view, and, similar to Soni and Trivedi (arXiv:1510.07455), we show that the usual entanglement entropy for a spatial bipartition can be…

We locate the relevant degrees of freedom for the entanglement entropy on some 2+1 fuzzy models. It is found that the entropy is stored in the near boundary degrees of freedom. We give a simple analytical derivation for the area law using…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Djamel Dou

Uncertainty relations are among the unique fingerprints of quantum physics, being direct expression of non-commutativity and complementarity. Entropic uncertainty relations arise in quantum information theory as the most natural expression…

Quantum Physics · Physics 2014-01-30 Cosmo Lupo , Seth Lloyd

Unlike the standard entanglement entropy considered in the holographic context, entwinement measures entanglement between degrees of freedom that are not associated to a spatial subregion. Entwinement is defined for two-dimensional CFTs…

High Energy Physics - Theory · Physics 2020-04-22 Johanna Erdmenger , Marius Gerbershagen

We investigate the entanglement entropy in gravity duals of confining large $N_c$ gauge theories using the proposal of arXiv:hep-th/0603001, arXiv:hep-th/0605073. Dividing one of the directions of space into a line segment of length $l$ and…

High Energy Physics - Theory · Physics 2008-11-26 Igor R. Klebanov , David Kutasov , Arvind Murugan

Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive…

High Energy Physics - Theory · Physics 2020-01-31 D. Melnikov , A. Mironov , S. Mironov , A. Morozov , An. Morozov

The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathematically, it measures how much the state vector is not…

Number Theory · Mathematics 2023-12-29 Hee-Joong Chung , Dohyeong Kim , Minhyong Kim , Jeehoon Park , Hwajong Yoo

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

We present a direct lattice gauge theory computation that, without using dualities, demonstrates that the entanglement entropy of Yang-Mills theories with arbitrary gauge group $G$ contains a generic logarithmic term at sufficiently weak…

High Energy Physics - Theory · Physics 2016-07-13 Djordje Radicevic

We consider entanglement across a planar boundary in flat space. Entanglement entropy is usually thought of as the von Neumann entropy of a reduced density matrix, but it can also be thought of as half the von Neumann entropy of a product…

High Energy Physics - Theory · Physics 2022-04-20 Takanori Anegawa , Norihiro Iizuka , Daniel Kabat

We compute the entanglement entropy in a composite system separated by a finitely ramified boundary with the structure of a self-similar lattice graph. We derive the entropy as a function of the decimation factor which determines the…

Quantum Physics · Physics 2018-11-14 Ibrahim Akal

The entanglement entropy of various geometries is calculated for the boundary theory dual to a stack of N Dp-branes. The entanglement entropies are readily expressed in terms of the effective coupling at the appropriate energy scales. The…

High Energy Physics - Theory · Physics 2011-08-24 Anton van Niekerk

Equations of motion for free higher-spin gauge fields of any symmetry can be formulated in terms of linearised curvatures. On the other hand, gauge invariance alone does not fix the form of the corresponding actions which, in addition,…

High Energy Physics - Theory · Physics 2015-05-18 Dario Francia

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate…

High Energy Physics - Theory · Physics 2020-08-05 Candost Akkaya , Alex Kovner

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa