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We study the behavior of a massless, quantized, scalar field on a two-dimensional cylinder spacetime as it responds to the time-dependent evolution of a Mamev-Trunov potential of the form $V(x,t) = 2 \xi \delta(x) \theta(-t)$. We begin by…

Mathematical Physics · Physics 2018-09-12 Michael J. Pfenning

In this paper, we study a system of PDEs describing the motion of two compressible viscous fluids occupying the whole space $\mathbb R^d\;(d\in \{2,3\}$). The two phases of the mixture are separated by a $\mathscr{C}^{1+\alpha}$-regular…

Analysis of PDEs · Mathematics 2025-05-20 Sagbo Marcel Zodji

We evaluate the two-point function for the electromagnetic field tensor in $(D+1)$-dimensional de Sitter spacetime assuming that the field is prepared in Bunch-Davies vacuum state. This two-point function is used for the investigation of…

High Energy Physics - Theory · Physics 2013-12-13 A. A. Saharian , A. S. Kotanjyan , H. A. Nersisyan

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the…

High Energy Physics - Theory · Physics 2012-10-01 A. A. Saharian

We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central…

High Energy Physics - Theory · Physics 2022-03-29 Denis Karateev

We consider a massless quantum scalar field on a two-dimensional space-time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Paul G. Abel , Elizabeth Winstanley

In this article we briefly review the adiabatic renormalization program for spin 1/2 fields in expanding universes. We introduce the method and provide explicit expressions for the renormalized vacuum expectation value of the stress-energy…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Adrian del Rio , Jose Navarro-Salas

The computation of the renormalized stress-energy tensor or $\left\langle\phi^{2}\right\rangle_{ren}$ in curved spacetime is a challenging task, at both the conceptual and technical levels. Recently we developed a new approach to compute…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Adam Levi , Amos Ori

The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value,…

General Relativity and Quantum Cosmology · Physics 2014-09-29 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

We generalize a result of Vollick constraining the possible behaviors of the renormalized expected stress-energy tensor of a free massless scalar field in two dimensional spacetimes that are globally conformal to Minkowski spacetime.…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Eanna E. Flanagan

We study the Stueckelberg field in de Sitter space, which is a massive vector field with the gauge fixing (GF) term $\frac{1}{2\zeta} (A^\mu\,_{;\, \mu})^2$. We obtain the vacuum stress tensor, which consists of the transverse,…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Yang Zhang , Xuan Ye

We study the backreaction on the mean field geometry due to a non-conformal quantum field in a Robertson-Walker background. In the regime of small mass and small deviation from conformal coupling, we compute perturbatively the expectation…

General Relativity and Quantum Cosmology · Physics 2009-12-02 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

Large vacuum fluctuations of a quantum stress tensor operator can be described by the asymptotic behavior of the probability distribution of the time or spacetime averaged operator. Here we focus on the case of stress tensor operators…

High Energy Physics - Theory · Physics 2018-01-31 Enrico D. Schiappacasse , Christopher J. Fewster , L. H. Ford

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much…

High Energy Physics - Theory · Physics 2023-05-31 E. T. Akhmedov , K. V. Bazarov

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

We study the decay of a near-extremal black hole in AdS$_2$, related to the near-horizon region of 3+1-dimensional Reissner-Nordstr\"om spacetime, following Fabbri, Navarro, and Navarro-Salas. Back-reaction is included in a semiclassical…

High Energy Physics - Theory · Physics 2014-11-18 Kamran Diba , David A. Lowe

We consider the backreaction problem of a quantized minimally coupled massless scalar field in cosmology. The adiabatically regularized stress-energy tensor in a general Friedmann-Robertson-Walker background is approximately evaluated by…

General Relativity and Quantum Cosmology · Physics 2013-06-04 Ali Kaya , Merve Tarman

We investigate lower bounds to the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable models of quantum field theory. Our main results are a state-independent QEI for models with constant…

Mathematical Physics · Physics 2024-02-07 Henning Bostelmann , Daniela Cadamuro , Jan Mandrysch

We argue that the renormalizability of interacting quantum field theory on the curved-space background with an additional external antisymmetric tensor (two-form) field requires nonminimal interaction of the antisymmetric field with quantum…

High Energy Physics - Theory · Physics 2025-09-09 Ioseph L. Buchbinder , Thomas M. Sangy , Ilya L. Shapiro
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