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Spacetime foam can be modeled in terms of nonlocal effective interactions in a classical nonfluctuating background. Then, the density matrix for the low-energy fields evolves, in the weak-coupling approximation, according to a master…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Luis J. Garay

In quantum field theory, the Green function is usually calculated as the expectation value of the time-ordered product of fields over the vacuum. In some cases, especially in degenerate systems, expectation values over general states are…

High Energy Physics - Theory · Physics 2010-09-15 Christian Brouder

In the celebrated Unruh effect, we learn that a uniformly accelerating detector in a Minkowski vacuum spacetime registers a constant temperature. Building on prior work, we present a technique based on derivative couplings of the two-point…

General Relativity and Quantum Cosmology · Physics 2018-04-19 Aditya Dhumuntarao , José Tomás Gálvez Ghersi , Niayesh Afshordi

Some aspects of atom-field interactions in curved spacetime are reviewed. Of great interest are quantum radiative and entanglement processes arising out of Rindler and black hole spacetimes, which involve the role of Hawking-Unruh and…

General Relativity and Quantum Cosmology · Physics 2024-05-17 Syed Masood A. S. Bukhari , Li-Gang Wang

We propose that the quantum vacuum may be considered as a gas of virtual photons which carry a non-vanishing linear momentum as well as a non-vanishing energy. We study, in particular, the Casimir effect in order to show that these virtual…

Quantum Physics · Physics 2007-05-23 Adonai S. Sant'Anna , Daniel C. Freitas

We consider a quantum mechanical system represented in phase space (referred to hereafter as "Wigner space"), coupled to a harmonic oscillator bath. We derive quantum hierarchal Fokker-Planck (QHFP) equations not only in real time, but also…

Statistical Mechanics · Physics 2015-04-16 Yoshitaka Tanimura

We suggest the existence of systems in which the statistics of a particle changes with the quantum level it occupies. The occupation numbers in thermal equilibrium depend on a continuous statistical parameter that interpolates between…

Quantum Physics · Physics 2022-10-27 M. N. Chernodub

The Unruh vacuum is widely used as quantum state to describe black hole evaporation since near the horizon it reproduces the physical state of a quantum field, the so called in-vacuum, in the case the black hole is formed by gravitational…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Roberto Balbinot , Alessandro Fabbri

A particle in a uniformly accelerated motion exhibits Brownian random motions around the classical trajectory due to the coupling to the field vacuum fluctuations. Previous works show that the Brownian random motions satisfy the energy…

High Energy Physics - Theory · Physics 2015-08-28 Naritaka Oshita , Kazuhiro Yamamoto , Sen Zhang

This article examines how the physical presence of field energy and particulate matter can be interpreted in terms of the topological properties of space-time. The theory is developed in terms of vector and matrix equations of exterior…

General Relativity and Quantum Cosmology · Physics 2007-12-10 R. M. Kiehn

This paper investigates the finite-temperature behavior of Conformal Field Theory (CFT) in Rindler vacuum, focusing on the relation between acceleration and thermality in quantum field theory. We illustrate how uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

A dynamical system with discrete time is studied by means of algebraic geometry. The system admits a reduction that is interpreted as a classical field theory in 2+1-dimensional wholly discrete space-time. The integrals of motion of a…

High Energy Physics - Theory · Physics 2007-05-23 I. G. Korepanov

Recently the Wigner - Weyl formalism has been applied to the lattice models of solid state physics and to the lattice regularized quantum field theory. This allows to demonstrate that the electric current of intrinsic Anomalous Quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2021-04-22 M. A. Zubkov , Xi Wu

When a quantum field is in contact with a thermal bath, the vacuum state of the field may be generalized to a thermal vacuum state, which takes into account the thermal noise. In thermo field dynamics, this is realized by doubling the…

Quantum Physics · Physics 2019-12-09 Alessandro Sergi , Roberto Grimaudo , Gabriel Hanna , Antonino Messina

It is shown to all orders of perturbation theory that in the effective field theory of general relativity the condition of vanishing of the vacuum energy leads to the same value of the cosmological constant, viewed as a parameter of the…

High Energy Physics - Theory · Physics 2026-01-19 E. Epelbaum , J. Gegelia , Ulf-G. Meißner

Quantum effects in the era of reheating of the universe after inflation are considered. A semiclassical approach to gravity theory is applied within Starobinsky's inflationary model with backreaction. Some subtleties associated with…

General Relativity and Quantum Cosmology · Physics 2025-12-29 A. B. Arbuzov , A. A. Nikitenko

A uniformly accelerated atom captures Pancharatnam-Berry phase in its quantum state and the phase factor depends on the vacuum fluctuation of the background quantum fields. We observe that the thermal nature of the fields further affects…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Debasish Ghosh , Bibhas Ranjan Majhi

We study a dynamic version of the Unruh effect in a two dimensional collapse model forming a black hole. In this two-dimensional collapse model a scalar field coupled to the dilaton gravity, moving leftwards, collapses to form a black hole.…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Kinjalk Lochan , Sumanta Chakraborty , T. Padmanabhan

We develop an operator description, much like thermofield dynamics, for quantum field theories on a real time path with an arbitrary parameter $\sigma\,(0\leq\sigma\leq\beta)$. We point out new features which arise when $\sigma\neq…

High Energy Physics - Theory · Physics 2016-06-29 Ashok Das , Pushpa Kalauni

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

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