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We present a derivation of the stress field for an interacting quantum system within the framework of local density functional theory. The formulation is geometric in nature and exploits the relationship between the strain tensor field and…

Materials Science · Physics 2009-11-07 Christopher L. Rogers , Andrew M. Rappe

The renormalized expectation value of the stress-energy tensor of the conformally invariant massless field in the Israel-Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is achieved through solving the conservation…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Jerzy Matyjasek

The vacuum expectation value of the stress-energy tensor is calculated for spin $1\over 2$ massive fields in several multiply connected flat spacetimes. We examine the physical effects of topology on manifolds such as $R^3 \times S^1$,…

General Relativity and Quantum Cosmology · Physics 2011-07-19 N. Ahmadi , M. Nouri-Zonoz

A method is presented which allows for the numerical computation of the stress-energy tensor for a quantized massless minimally coupled scalar field in the region outside the event horizon of a 4D Schwarzschild black hole that forms from…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Raymond D. Clark , Alessandro Fabbri

We explore the collision of two cylindrical bubbles in classical general relativity with a scalar field stress-energy tensor. Inside each bubble the field rests at a local minimum of the potential with non-negative energy density. Outside…

General Relativity and Quantum Cosmology · Physics 2017-10-10 Yu-ichi Takamizu , David Chernoff

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

We show that the stress-energy tensor has additional terms with respect to the ideal form in states of global thermodynamic equilibrium in flat spacetime with non-vanishing acceleration and vorticity. These corrections are of quantum origin…

General Relativity and Quantum Cosmology · Physics 2015-09-02 F. Becattini , E. Grossi

In a recent work an approximation procedure was introduced to calculate the vacuum expectation value of the stress-energy tensor for a conformal massless scalar field in the classical background determined by a particular colliding plane…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Miquel Dorca

The stress-energy tensor of a free quantized scalar field is calculated in the extreme Reissner-Nordstr\"{o}m black hole spacetime in the zero temperature vacuum state. The stress-energy appears to be regular on the event horizon, contrary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , William A. Hiscock , Daniel J. Loranz

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

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

The Schwinger-de Witt and Hadamard methods are used to obtain renormalised vacuum expectation values for the fermion condensate, charge current and stress-energy tensor of a quantum fermion field of arbitrary mass on four-dimensional…

High Energy Physics - Theory · Physics 2015-09-04 Victor E. Ambrus , Elizabeth Winstanley

The renormalized energy density of a massless scalar field defined in a D-dimensional flat spacetime is computed in the presence of "soft" and "semihard" boundaries, modeled by some smoothly increasing potential functions. The sign of the…

High Energy Physics - Theory · Physics 2021-10-19 F. Caruso , R. De Paola , N. F. Svaiter

The quantum energy-momentum tensor ${\hat T}^{\mu\nu}(x)$ is computed for strings in Minkowski space-time. We compute its expectation value for different physical string states both for open and closed bosonic strings. The states considered…

High Energy Physics - Theory · Physics 2016-08-15 E. J. Copeland , H. J. de Vega , A. Vázquez

We consider a real massive free quantum scalar field with arbitrary curvature coupling on $n$-dimensional anti-de Sitter space-time. We use Hadamard renormalization to find the vacuum expectation values of the quadratic field fluctuations…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carl Kent , Elizabeth Winstanley

We propose to use quantum tomography to characterize the state of a perturbed Bose-Einstein condensate. We assume knowledge of the number of particles in the zero-wave number mode and of density distributions in space at different times,…

Other Condensed Matter · Physics 2009-11-10 Anders S. Mouritzen , Klaus Molmer

We analyze the quantum fluctuations of vacuum stress tensors and spacetime curvatures, using the framework of linear response theory which connects these fluctuations to dissipation mechanisms arising when stress tensors and spacetime…

Quantum Physics · Physics 2015-06-26 Marc-Thierry Jaekel , Serge Reynaud

We explicitly compare the structure of the renormalized stress-energy tensor (RSET) of a massless scalar field in a (1+1) curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop…

General Relativity and Quantum Cosmology · Physics 2012-04-10 Carlos Barceló , Raúl Carballo , Luis J. Garay

To model a realistic situation for the beginning we consider massive real scalar $\phi^4$ theory in a (1+1)-dimensional asymptotically static Minkowski spacetime with an intermediate stage of expansion. To have an analytic headway we assume…

High Energy Physics - Theory · Physics 2018-02-28 Emil T. Akhmedov , Francesco Bascone

We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods we recently proposed for studying the tensor-network…

Strongly Correlated Electrons · Physics 2013-05-29 H. H. Zhao , Z. Y. Xie , Q. N. Chen , Z. C. Wei , J. W. Cai , T. Xiang