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We extend our previous results of simplified expressions for functional determinants for radial Schr\"odinger operators to the computation of vacuum energy, or mass corrections, for static but spatially radial backgrounds, and for domain…

High Energy Physics - Theory · Physics 2009-03-12 Gerald Dunne , Klaus Kirsten

We have derived the quantum vacuum pressure P_vac as a primary entity, removing a trivial and a gauge terms from the cosmological constant-like part (the zeroth term) of the effective action for a free matter field. The quantum vacuum…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Bogusław Broda , Michał Szanecki

In this work I reason that in expanding space only those quantum modes contribute to the measured vacuum energy that do not transcend the observable volume. Since all quantised field modes have various observable consequences, when a…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Csaba Balazs

It is shown that a simple model for 4-dimensional quantum gravity based on a 3-dimensional generalization of anyon superconductivity can be regarded as a discrete form of Polyakov's string theory. This suggests that there is a universal…

High Energy Physics - Theory · Physics 2009-10-31 George Chapline

A cosmological model with perfect fluid and self-interacting quintessence field is considered in the framework of the spatially flat Friedmann-Robertson-Walker (FRW) geometry. By assuming that all physical quantities depend on the volume…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. K. Mak , T. Harko

We apply a `dimensional reduction' mechanism to the evaluation of the functional integral for the vacuum energy of a real scalar field in the presence of non-trivial backgrounds, in d+1 dimensions. The reduction is implemented by applying a…

High Energy Physics - Theory · Physics 2017-08-30 Cesar D. Fosco , Francisco D. Mazzitelli

In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and the effective action of a quantum field which interacts with a scalar or an electromagnetic background. Working in an arbitrary number of…

High Energy Physics - Theory · Physics 2023-12-29 S. A. Franchino-Viñas , C. García-Pérez , F. D. Mazzitelli , V. Vitagliano , U. Wainstein Haimovichi

A version of foliated spacetime is constructed in which the spatial geometry is described as a time dependent noncommutative geometry. The ADM version of the gravitational action is expressed in terms of these variables. It is shown that…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eli Hawkins

A new mechanism of adjustment of vacuum energy down to the observed value from an initially huge one is considered. The mechanism is based on a very strong variation of the gravitational coupling constant in very early universe. The model…

Astrophysics · Physics 2008-11-26 A. D. Dolgov , F. R. Urban

A quantum engine fueled by quantum measurement is proposed. Under the finite-time adiabatic driving regime, the conversion of heat to work is realized without the compression and expansion of the resonance frequency. The work output,…

Quantum Physics · Physics 2021-09-23 Shanhe Su , Zhiyuan Lin , Jincan Chen

The key question of this paper is whether work can be extracted from a heat engine by using purely quantum mechanical information. If the answer is yes, what is its mathematical formula? First, by using a bipartite memory we show that the…

Quantum Physics · Physics 2015-06-15 Jung Jun Park , Kang-Hwan Kim , Takahiro Sagawa , Sang Wook Kim

We study the behavior of the vacuum in Euclidean dynamical triangulations (EDT). Algorithmic improvements and better lattice spacing determinations allow us to test the properties of the emergent de Sitter geometries of our simulations to…

High Energy Physics - Lattice · Physics 2025-05-21 Mingwei Dai , Walter Freeman , Jack Laiho , Marc Schiffer , Judah Unmuth-Yockey

The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field…

High Energy Physics - Theory · Physics 2018-03-14 S. Mignemi , A. Samsarov

In "extended phase space" approach to quantum geometrodynamics numerical solutions to Schrodinger equation corresponding to various choice of gauge conditions are obtained for the simplest isotropic model. The "extended phase space"…

General Relativity and Quantum Cosmology · Physics 2008-01-31 T. P. Shestakova

Intrinsic properties of the space itself and quantum fluctuations of its geometry are sufficient to provide a mechanism for the acceleration of cosmological expansion (dark energy effect). Applying Bogoliubov-Born-Green-Kirkwood-Yvon…

General Relativity and Quantum Cosmology · Physics 2013-06-27 Leonid Marochnik , Daniel Usikov , Grigory Vereshkov

Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the thermodynamic principles in terms of a set of postulates we obtain a thermodynamically consistent…

Quantum Physics · Physics 2021-12-01 Roie Dann , Ronnie Kosloff

We construct the covariant effective field theory of gravity as an expansion in inverse powers of the Planck mass, identifying the leading and next-to-leading quantum corrections. We determine the form of the effective action for the cases…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Alessandro Codello , Rajeev Kumar Jain

The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Herbert W. Hamber , Ruth M. Williams

It is shown that under proper conditions in an appropriate coordinate system with a suitable time slicing the Hamiltonian and the Einstein-Hilbert action including all necessary boundary terms can be written on shell in terms of the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Bjoern S. Schmekel

The vacuum (Casimir) energy in quantum field theory is a problem relevant both to new nanotechnology devices and to dark energy in cosmology. The crucial question is the dependence of the energy on the system geometry under study. Despite…

Quantum Physics · Physics 2011-02-09 L. Kaplan
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