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We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute…

High Energy Physics - Theory · Physics 2024-04-16 Thomas Morley , Sivakumar Namasivayam , Elizabeth Winstanley

We examine the quantum null energy condition (QNEC) for a $2+1$-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a…

High Energy Physics - Theory · Physics 2019-01-14 Akihiro Ishibashi , Kengo Maeda , Eric Mefford

Recently, a de-Sitter epoch has been found in the new model of loop quantum cosmology which is governed by the scalar constraint with both of Euclidean and Lorentz terms. The singularity free bounce in the new LQC model and the emergent…

General Relativity and Quantum Cosmology · Physics 2021-08-30 Gaoping Long , Yunlong Liu , Xiangdong Zhang

We explore the possibility of calculating electronic excited states by using perturbation theory along a range-separated adiabatic connection. Starting from the energies of a partially interacting Hamiltonian, a first-order correction is…

Chemical Physics · Physics 2014-12-15 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

For many quantum field theory computations in cosmology it is not possible to use the flat space trick of obtaining full, interacting states by evolving free states over infinite times. State wave functionals must be specified at finite…

General Relativity and Quantum Cosmology · Physics 2010-01-22 E. O. Kahya , V. K. Onemli , R. P. Woodard

We investigate some analytical properties of loop group models, showing that a Positive Energy Representation (PER) of a loop group $LG$ can be extended to a PER of $H^{3/2}(S^1,G)$ for any compact, simple and simply connected Lie group…

Mathematical Physics · Physics 2021-08-18 Lorenzo Panebianco

We report on a revision of our previous computation of the renormalized expectation value of the stress-energy tensor of a massless, minimally coupled scalar with a quartic self-interaction on a locally de Sitter background. This model is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. K. Onemli , R. P. Woodard

In a previous paper, we pointed out how a dimensional analysis of the stress-energy tensor of the gravitational field allows to derive the field equation of General Relativity. In this note, we comment an analogous reasoning in presence of…

General Relativity and Quantum Cosmology · Physics 2011-01-14 J. Navarro , J. B. Sancho

Energy conditions for matter fields are comprehensively investigated in arbitrary $n(\ge 3)$ dimensions without specifying future and past directions locally. We classify an energy-momentum tensor into $n$-dimensional counterparts of the…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda , Cristian Martinez

A scalar field in (2+1) dimensional Minkowski space-time is considered. Postulating noncommutative spatial coordinates, one is able to determine the (UV finite) vacuum expectation value of the quantum field energy momentum tensor.…

High Energy Physics - Theory · Physics 2007-05-23 P. Nicolini

The violation of the null energy condition (NEC) is essential for constructing nonsingular cosmological scenarios, such as Genesis cosmology, which avoids the initial singularity by initiating cosmic evolution from an asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Dong-Hui Yu , Mian Zhu , Yong Cai

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

Soft Condensed Matter · Physics 2024-11-28 M. Magri , D. Riccobelli

The paper considers the general case of incompressible non-classical elasticity with small deformations and rotations. The thermodynamic stability is analysed for free energy density with three rotational degrees of freedom. Although the…

Condensed Matter · Physics 2016-11-25 A. I. Leonov , V. S. Volkov

A non-singular cosmological bounce in the Einstein frame can only take place if the Null Energy Condition (NEC) is violated. We explore situations where a single scalar field drives the NEC violation and derive the constraints imposed by…

High Energy Physics - Theory · Physics 2017-06-26 Claudia de Rham , Scott Melville

We use the structure of conditionally independent states to analyze the stability of topological entanglement entropy. For the ground state of quantum double or Levin-Wen model, we obtain a bound on the first order perturbation of…

Strongly Correlated Electrons · Physics 2015-06-11 Isaac H. Kim

Hollands and Wald's technique based on *-algebras of Wick products of field operators is strightforwardly generalized to define the stress-energy tensor operator in curved globally hyperbolic spacetimes. In particular, the locality and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Valter Moretti

We study the phenomenon of negative energy densities in quantum field theories with self-interaction. Specifically, we consider a class of integrable models (including the sinh-Gordon model) in which we investigate the expectation value of…

Mathematical Physics · Physics 2016-03-03 Henning Bostelmann , Daniela Cadamuro

This dissertation presents a semiclassical analysis of conical topology change in $1+1$ spacetime dimensions wherein, to lowest order, the ambient spacetime is classical and fixed while the scalar field coupled to it is quantized. The…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eric B. Jones
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