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We treat the probability distributions for quadratic quantum fields, averaged with a Lorentzian test function, in four-dimensional Minkowski vacuum. These distributions share some properties with previous results in two-dimensional…

Quantum Physics · Physics 2012-09-06 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

A quantum system composed of a cavity radiation field interacting with a movable mirror is considered and quantum statistical properties of the field are studied. Such a system can serve in principle as an idealized meter for detection of a…

Quantum Physics · Physics 2009-10-31 C. Brif , A. Mann

We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid…

High Energy Physics - Theory · Physics 2024-06-27 Antonia M. Frassino , Robie A. Hennigar , Juan F. Pedraza , Andrew Svesko

For every local quantum field theory on a static, globally hyperbolic spacetime of arbitrary dimension, assuming the Reeh-Schlieder property, local preparability of states, and the existence of an energy density as operator-valued…

Mathematical Physics · Physics 2022-10-14 Albert Much , Albert Georg Passegger , Rainer Verch

We find theoretical results on energy eigenvalues and corresponding supersymmetric Hamiltonians reflect contradictory behavior for negative values of A. furthermore the resulting supersymmetric partners potentials can be model scattering…

Quantum Physics · Physics 2021-03-26 Biswanath Rath

It has been shown that if one solves self-consistently the semiclassical Einstein equations in the presence of a quantum scalar field, with a cutoff on the number of modes, spacetime become flatter when the cutoff increases. Here we extend…

High Energy Physics - Theory · Physics 2025-04-01 Renata Ferrero , Vincenzo Naso , Roberto Percacci

It is suggested that the Minkowski vacuum of quantum field theories of a large number of fields N would be gravitationally unstable due to strong vacuum energy fluctuations unless an N dependent sub-Planckian ultraviolet momentum cutoff is…

High Energy Physics - Theory · Physics 2009-10-31 Ram Brustein , David Eichler , Stefano Foffa , David H. Oaknin

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

We study models of quartic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity, $\xi \phi^2 R$, and perform a study of quantum corrections in curved space-time at one-loop level. We specifically focus on comparing…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Tommi Markkanen , Tommi Tenkanen , Ville Vaskonen , Hardi Veermäe

Among the fundamental quantum effects, quantum reflection (QR) is one of the most notable phenomena. Approximating arbitrary potentials in the Schr\"odinger equation as multistep potentials allows us to determine the reflection coefficient…

Quantum electrodynamic fields possess fluctuations corresponding to transient particle/antiparticle dipoles, which can be characterized by a non-vanishing polarizability density. Here, we extend a recently proposed quantum scaling law to…

High Energy Physics - Theory · Physics 2023-01-25 Alexandre Tkatchenko , Dmitry V. Fedorov

The response of particle density to a dilation of a periodic potential in an insulator, with or without a fixed background potential or a magnetic field, is shown to be quantized. A similar phenomenon occurs in a quantum Hall system, where…

Condensed Matter · Physics 2009-10-22 Q. Niu

In this paper, we study the relativistic effect on the wave functions for a bouncing particle in a gravitational field. Motivated by the equivalence principle, we investigate the Klein-Gordon and Dirac equations in Rindler coordinates with…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Ar Rohim , Kazushige Ueda , Kazuhiro Yamamoto , Shih-Yuin Lin

We reinterpret the spectral dimension of spacetimes as the scaling of an effective self-energy transition amplitude in quantum field theory (QFT), when the system is probed at a given resolution. This picture has four main advantages: (a)…

High Energy Physics - Theory · Physics 2016-04-13 Gianluca Calcagni , Leonardo Modesto , Giuseppe Nardelli

Covariant, self-interacting scalar quantum field theories admit solutions for low enough spacetime dimensions, but when additional divergences appear in higher dimensions, the traditional approach leads to results, such as triviality, that…

High Energy Physics - Theory · Physics 2015-05-27 John R. Klauder

Quantum gravity may shed light on the prehistory of the universe. Quantum corrections to gravity affect the dynamics of the expansion of the universe. Their influence is studied on the example of the exactly solvable quantum model. The…

General Relativity and Quantum Cosmology · Physics 2019-11-05 V. E. Kuzmichev , V. V. Kuzmichev

It has been shown [1,2] that the electromagnetic quantum vacuum makes a contribution to the inertial mass, $m_i$, in the sense that at least part of the inertial force of opposition to acceleration, or inertia reaction force, springs from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alfonso Rueda , Bernard Haisch , Roh Tung

Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic functionals of self dual connections and a decomposition of…

High Energy Physics - Theory · Physics 2010-11-01 Abhay Ashtekar , Carlo Rovelli , Lee Smolin

Worldline quantum inequalities provide lower bounds on weighted averages of the renormalised energy density of a quantum field along the worldline of an observer. In the context of real, linear scalar field theory on an arbitrary globally…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. J. Fewster

We apply the background field method and the effective action formalism to describe the four-dimensional dynamical Casimir effect. Our picture corresponds to the consideration of quantum cosmology for an expanding FRW universe (the boundary…

High Energy Physics - Theory · Physics 2009-01-14 I. Brevik , K. A. Milton , S. D. Odintsov , K. E. Osetrin
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