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We discuss the field quantisation of a free massive Dirac fermion in the two causally disconnected static patches of the de Sitter spacetime, by using mode functions that are normalisable on the cosmological event horizon. Using this, we…

High Energy Physics - Theory · Physics 2020-04-28 Sourav Bhattacharya , Shankhadeep Chakrabortty , Shivang Goyal

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

We construct condensate states encoding the continuum spherically symmetric quantum geometry of an horizon in full quantum gravity, i.e. without any classical symmetry reduction, in the group field theory formalism. Tracing over the bulk…

General Relativity and Quantum Cosmology · Physics 2016-05-27 Daniele Oriti , Daniele Pranzetti , Lorenzo Sindoni

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bi-partite and multi-partite pure and mixed states.…

Quantum Physics · Physics 2009-05-18 Tzu-Chieh Wei

In this paper, we study a free scalar field in a specific (1+1)-dimensional curved spacetime. By introducing an algebraic state that is locally Hadamard, we derive the renormalized Wightman function and explicitly calculate the covariantly…

High Energy Physics - Theory · Physics 2025-12-18 Jeongwon Ho , O-Kab Kwon , Sang-Heon Yi

The incorporation of classical general relativity into quantum field theory yields a surprising result -- thermodynamic particle production. One such phenomenon, known as the Unruh effect, causes empty space to effervesce a thermal bath of…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Morgan H. Lynch

We review the quantization of scalar and gauge fields using Rindler coordinates with an emphasis on the physics of the Rindler horizon. In the thermal state at the Unruh temperature, correlators match their Minkowski vacuum values and the…

High Energy Physics - Theory · Physics 2016-12-12 Ben Michel

In general, a global and unique vacuum state cannot be constructed for a curved space. As a remedy, we introduce a curved space background geometry with a Minkowski metric tensor and locally non-zero curvature and torsion. Based on this…

High Energy Physics - Theory · Physics 2021-09-07 Maysam Yousefian , Mehrdad Farhoudi

We explicitly express the Minkowski vacuum of a massless scalar field in terms of the particle notion associated with suitable spherical conformal killing fields. These fields are orthogonal to the light wavefronts originating from a sphere…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Alejandro Perez , Salvatore Ribisi

We analyse the quantization procedure of the spinor field in the Rindler spacetime, showing the boundary conditions that should be imposed to the field, in order to have a well posed theory. We then investigate the relationship between this…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Daniele Oriti

Recently, Bennett et al. [Eur. J. Phys. 37:014001, 2016] presented a physically-motivated and explicitly gauge-independent scheme for the quantisation of the electromagnetic field in flat Minkowski space. In this paper we generalise this…

Quantum Physics · Physics 2019-10-02 Ben Maybee , Daniel Hodgson , Almut Beige , Robert Purdy

In quantum field theory, the vacuum is popularly considered to be a complex medium populated with virtual particle + antiparticle pairs. To an observer experiencing uniform acceleration, it is generally held that these virtual particles…

General Physics · Physics 2026-04-28 Alexandre Deur , Stanley J. Brodsky , Craig D. Roberts , Balša Terzić

A new type of global embedding of curved space-times in higher dimensional flat ones is introduced to present a unified description of Hawking and Unruh effects. Our analysis simplifies as well as generalises the conventional embedding…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Rabin Banerjee , Bibhas Ranjan Majhi

The notions of temperature, entropy and `evaporation', usually associated with spacetimes with horizons, are analyzed using general approach and the following results, applicable to different spacetimes, are obtained at one go. (i) The…

General Relativity and Quantum Cosmology · Physics 2016-08-31 T. Padmanabhan

We study the decoherence effect of quantum superposition in de Sitter (dS) spacetime due to the presence of the cosmological horizon. Using the algebraic approach of quantum field theory on curved spacetime, we derive the precise expression…

High Energy Physics - Theory · Physics 2025-01-03 Ran Li

We present a new method by which, in principle, it is possible to "see in absolute darkness," i.e., without exchanging any real quanta through quantum fields. This is possible because objects modify the mode structure of the vacuum in their…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Aida Ahmadzadegan , Fatemeh Lalegani , Achim Kempf , Robert B. Mann

We analyse the quantization procedure of the spinor field in the Rindler spacetime, showing the boundary conditions that should be imposed to the field, in order to have a well posed theory. Because of these boundary conditions we argue…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniele Oriti

In this paper, we discuss the Unruh state for a free scalar quantum field on Kerr-de Sitter under the assumption of mode stability. We summarise the proof of its Hadamard property that was previously given in [C.Klein, Annales Henri…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Christiane K. M. Klein

A universal scheme for describing gravitational thermal effects is developed as a generalization of Unruh effect. Quasi-Rindler (QR) coordinates are constructed in an arbitrary curved space-time in such a way that the imaginary QR time be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Michael B. Mensky

We propose a general framework for studying quantum field theory on the anti-de-Sitter space-time, based on the assumption of positivity of the spectrum of the possible energy operators. In this framework we show that the n-point functions…

High Energy Physics - Theory · Physics 2009-11-07 Jacques Bros , Henri Epstein , Ugo Moschella