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The stress-energy tensor of the quantum vacuum is studied for the particular case of quantum electrodynamics (QED), that is a fictituous universe where only the electromagnetic and the electron-positron fields exist. The integrals involved…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Emilio Santos

Determinants of the second-rank tensors stand useful in forming generally invariant terms as in the case of the volume element of the gravitational actions. Here, we extend the action of the matter fields by an arbitrary function $f(D)$ of…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Hemza Azri , Salah Nasri

The quantum null energy condition (QNEC) is a conjectured bound on components $(T_{kk} = T_{ab} k^a k^b$) of the stress tensor along a null vector $k^a$ at a point $p$ in terms of a second $k$-derivative of the von Neumann entropy $S$ on…

High Energy Physics - Theory · Physics 2017-12-29 Zicao Fu , Jason Koeller , Donald Marolf

Adopting the q-theory approach to the cosmological constant problem, a simple field-theoretic model is presented which generates an effective cosmological constant (remnant vacuum energy density) of the observed order of magnitude,…

High Energy Physics - Theory · Physics 2011-08-11 F. R. Klinkhamer

In this paper we calculate the vacuum expectation values of the stress-energy bitensor of a massive quantum scalar field with general coupling to N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean sections of the…

High Energy Physics - Theory · Physics 2011-09-08 H. T. Cho , B. L. Hu

The structure of quantum vacuum in presence of gravity, and the corresponding vacuum energy density $\rho_{v}$, is expected to depend on the coupling between the UV scale $\ell_\mathrm{\textsf{UV}}$ and spacetime curvature. We determine…

General Relativity and Quantum Cosmology · Physics 2016-12-30 Dawood Kothawala

The time-dependent cosmological term arises from the energy-momentum tensor calculated in a state different from the ground state. We discuss the expectation value of the energy-momentum tensor on the rhs of Einstein equations in various…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Zbigniew Haba

We propose a method for calculating vacuum fluctuations on the background of a spherical impulsive gravitational wave which results in a finite expression for the vacuum expectation value of the stress-energy tensor. The method is based on…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hortaçsu

We consider the stress tensor in the massless Sine--Gordon model in the finite regime $\beta^2 < 4 \pi$ of the theory. We prove convergence of the renormalised perturbative series for the interacting stress tensor defined using the…

Mathematical Physics · Physics 2023-05-12 Markus B. Fröb , Daniela Cadamuro

The two-dimensional O(3) nonlinear sigma model is a well known toy model for studying non-perturbative phenomena in quantum field theory. A central challenge is the renormalization of the energy-momentum tensor, which is complicated by the…

High Energy Physics - Lattice · Physics 2026-05-08 Mika Lauk , Agostino Patella

The renormalization of the vacuum energy in quantum field theory (QFT) is usually plagued with theoretical conundrums related not only with the renormalization procedure itself, but also with the fact that the final result leads usually to…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Cristian Moreno-Pulido , Joan Sola Peracaula

The pressure-energy equations of state in the nucleon are derived from the gravitational form factors, which parameterize matrix elements of the energy-momentum tensor (EMT), together with EMT conservation. There are two distinct components…

High Energy Physics - Phenomenology · Physics 2026-05-07 Keh-Fei Liu

It has been suggested previously that the observed cosmological constant Lambda corresponds to the remnant vacuum energy density of dynamical processes taking place at a cosmic age set by the mass scale M \sim E_{ew} of ultramassive…

High Energy Physics - Phenomenology · Physics 2010-10-27 F. R. Klinkhamer

We investigate the overall optomechanical force experienced by a macroscopic lossy object in free space under external quantum illumination. To this end, utilizing the Modified Langevin Noise Formalism (MLNF), we derive the time-averaged…

Quantum Physics · Physics 2026-04-08 Alessandro Ciattoni

In this article we propose to add stress-energy tensor to the Einstein equations, assuming that the matter-energy and the metric space-time is nothing but a continuous medium with some elastic properties. We first give a general expression…

General Relativity and Quantum Cosmology · Physics 2014-09-29 Mathieu Beau

The non energy-weighted Gamow-Teller(GT) sum rule is satisfied in relativistic models, when all nuclear density-dependent terms, including Pauli blocking terms from nucleon-antinucleon excitations, are taken into account in the RPA…

Nuclear Theory · Physics 2009-11-10 Haruki Kurasawa , Toshio Suzuki

The cosmological constant term (CC), $\Lambda$, is a pivotal ingredient in the standard model of cosmology or $\Lambda$CDM, but it is a rigid quantity for the entire cosmic history. This is unnatural and inconsistent. Different theoretical…

High Energy Physics - Theory · Physics 2024-11-12 Joan Solà Peracaula , Cristian Moreno-Pulido

The possibility that the vacuum energy density (VED), $\rho_{\rm vac}$, could be time dependent in the expanding Universe is intuitively more reasonable than just a rigid cosmological constant for the entire cosmic history. The dynamics of…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Joan Solà Peracaula

We study the effective stress-energy tensor induced by cosmological inhomogeneity in $f(R)=R+cR^2$ and equivalent scalar-tensor theories, motivated both by models of early universe inflation and by phenomenological alternative cosmologies…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Anthony W. H. Preston , Tim R. Morris

We derive non-perturbative relations between the expectation value of the invariant element in a homogeneous and isotropic state and the quantum gravitationally induced pressure and energy density. By exploiting previously obtained bounds…

High Energy Physics - Phenomenology · Physics 2016-08-25 N. C. Tsamis , R. P. Woodard