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The notion that the electromagnetic field is quantised is usually inferred from observations such as the photoelectric effect and the black-body spectrum. However accounts of the quantisation of this field are usually mathematically…

Quantum Physics · Physics 2015-11-06 Robert Bennett , Thomas M. Barlow , Almut Beige

A tensor network formalism of thermofield dynamics is introduced. The formalism relates the original Hilbert space with its tilde space by a product of two copies of a tensor network. Then, their interface becomes an event horizon, and the…

High Energy Physics - Theory · Physics 2015-06-11 Hiroaki Matsueda , Masafumi Ishihara , Yoichiro Hashizume

We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch. We…

High Energy Physics - Theory · Physics 2015-07-16 Illan Halpern , Yasha Neiman

We apply a new and mathematically rigorous method for the quantization of constrained systems to two-dimensional gauge theories. In this method, which quantizes Marsden-Weinstein symplectic reduction, the inner product on the physical state…

High Energy Physics - Theory · Physics 2009-10-30 N. P. Landsman , K. K. Wren

Using the solution phase space method, we investigate the thermodynamics of black holes in Einstein-aether-Maxwell theory, for which the traditional Wald method (covariant phase space method) fails. We show the first laws of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Hai-Feng Ding , Xiang-Hua Zhai

We review some classic works on ground state entanglement entropy in $(1+1)$-dimensional free scalar field theory. We point out identifications between the methods for the calculation of entanglement entropy and we show how the formalism…

High Energy Physics - Theory · Physics 2025-09-03 Dimitrios Katsinis , Georgios Pastras

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in $(2+1)$ dimensions, in which the scalar field couples to gravity in a non-minimal way, and it also couples to itself with the self-interacting potential solely…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Wei Xu , Liu Zhao

We investigate the entanglement entropy in 1+1-dimensional $SU(N)$ gauge theories with various matter fields using the lattice regularization. Here we use extended Hilbert space definition for entanglement entropy, which contains three…

High Energy Physics - Theory · Physics 2017-09-06 Sinya Aoki , Norihiro Iizuka , Kotaro Tamaoka , Tsuyoshi Yokoya

We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordstr\"om black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state,…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Maria Alberti , Jochen Zahn

Using standard coordinates, the Maxwell equations in the Reissner-Nordstr\"om geometry are written in terms of a couple of scalar fields satisfying Klein-Gordon like equations. The density of states is derived in the semi-classical…

High Energy Physics - Theory · Physics 2009-10-30 Guido Cognola , Paola Lecca

Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-07-15 Seyed Hossein Hendi

In this paper, we study charged black hole solutions in 4-dimensional Einstein-Gauss-Bonnet gravity combined with ModMax nonlinear electrodynamics. This is a conformally invariant extension of Maxwell theory that effectively describes…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Bilel Hamil

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Taishi Ikeda , Tomohiro Nakamura , Masato Minamitsuji

We study the canonical quantization of a massless charged scalar field on a Reissner-Nordstrom black hole background. Our aim is to construct analogues of the standard Boulware, Unruh and Hartle-Hawking quantum states which can be defined…

High Energy Physics - Theory · Physics 2023-01-24 Visakan Balakumar , Rafael P. Bernar , Elizabeth Winstanley

We study holographically non-local observables in field theories at finite temperature and in the large $d$ limit. These include the Wilson loop, the entanglement entropy, as well as an extension to various dual extremal surfaces of…

High Energy Physics - Theory · Physics 2022-02-04 Dimitrios Giataganas , Nikolaos Pappas , Nicolaos Toumbas

We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is complementary to, e.g., the existing methods using replica trick…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Xueda Wen , Shunji Matsuura , Shinsei Ryu

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed into a direct product of Hilbert spaces of…

High Energy Physics - Theory · Physics 2010-05-12 P. V. Buividovich , M. I. Polikarpov

This article presents a simple characterization for entangled vectors in a finite dimensional Hilbert space $H$. The characterization is in terms of the coefficients of an expansion of the vector relative to an orthonormal basis for $H$.…

Quantum Physics · Physics 2019-02-26 Stan Gudder

Classical surfaces in phase space correspond to quantum states in Hilbert space. Subsystems specify factor spaces of the Hilbert space. An entangled state corresponds semiclassically to a surface that cannot be decomposed into a product of…

Quantum Physics · Physics 2007-05-23 A. M. Ozorio de Almeida
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