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Using the Minkowski space AdS/CFT prescription we explicitly compute in the low-energy limit the two-point correlation function of the boundary stress-energy tensor in a large class of type IIB supergravity backgrounds with a regular…

High Energy Physics - Theory · Physics 2011-05-05 Alex Buchel

We explore two-point and four-point correlation functions of a massive scalar field on the flat de Sitter background in the long-wavelength approximation. By employing the Yang-Feldman-type equation, we compute the two-point correlation…

High Energy Physics - Theory · Physics 2025-04-18 Alexander Kamenshchik , Polina Petriakova

We adapt the Hamilton-Jacobi method of holographic renormalization to scalar field theories in Minkowski spacetime with scattering boundary conditions. The approach yields a flat-space holographic dictionary in which the expectation value…

High Energy Physics - Theory · Physics 2026-01-19 Martin Ammon , Federico Capone , Christoph Sieling

We compute the renormalized stress-energy tensor for a massless quantum scalar field in the background of the horizonless Bardeen spacetime. Within the weak-field approximation, we show that the vacuum fluctuations differ significantly…

High Energy Physics - Theory · Physics 2025-12-17 Andrés Boasso , Francisco D. Mazzitelli

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

A method which uses a generalized tensorial $\zeta$-function to compute the renormalized stress tensor of a quantum field propagating in a (static) curved background is presented. The starting point of the method is the direct computation…

High Energy Physics - Theory · Physics 2009-10-30 Valter Moretti

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime…

High Energy Physics - Theory · Physics 2026-04-01 Adam Bzowski , Paul McFadden , Kostas Skenderis

We derive constraints on the form of the renormalized stress tensor for states on Kerr space-time based on general physical principles: symmetry, the conservation equations, the trace anomaly and regularity on (sections of) the event…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Adrian C. Ottewill , Elizabeth Winstanley

We present a study of the correlation function of three stress-energy tensors in $d$ dimensions using free field theory realizations, and compare them to the exact solutions of their conformal Ward identities (CWI's) obtained by a general…

High Energy Physics - Theory · Physics 2018-11-14 Claudio Coriano , Matteo Maria Maglio

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer

We show within the Wilson renormalization group framework how the flow equation method can be used to prove the perturbative renormalizability of a relativistic massive selfinteracting scalar field. Furthermore we prove the regularity of…

High Energy Physics - Theory · Physics 2007-05-23 Georg Keller , Christoph Kopper , Clemens Schophaus

Tensor models are more-index generalizations of the so-called matrix models, and provide models of quantum gravity with the idea that spaces and general relativity are emergent phenomena. In this paper, a renormalization procedure for the…

High Energy Physics - Theory · Physics 2015-03-17 Naoki Sasakura

We present a systematic procedure to renormalize the symplectic potential of the electromagnetic field at null infinity in Minkowski space. We work in $D\geq6$ spacetime dimensions as a toy model of General Relativity in $D\geq4$…

High Energy Physics - Theory · Physics 2020-01-08 Laurent Freidel , Florian Hopfmüller , Aldo Riello

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We study perturbative renormalization of the composite operators in the $T\bar T$-deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases.…

High Energy Physics - Theory · Physics 2021-06-07 Anshuman Dey , Mikhail Goykhman , Michael Smolkin

This article presents the derivation of the stress-energy tensor of a free scalar field with a general non-linear dispersion relation in curved spacetime. This dispersion relation is used as a phenomelogical description of the short…

High Energy Physics - Theory · Physics 2009-11-07 Martin Lemoine , Musongela Lubo , Jerome Martin , Jean-Philippe Uzan

We propose a quasi-local stress tensor for the four-dimensional asymptotically flat Robinson-Trautman geometries by taking the flat-space limit from the corresponding asymptotically AdS solutions. This stress tensor results in the correct…

High Energy Physics - Theory · Physics 2020-01-08 Reza Fareghbal , Isa Mohammadi

We present our progress on a study of the $O(3)$ model in two-dimensions using the Tensor Renormalization Group method. We first construct the theory in terms of tensors, and show how to construct $n$-point correlation functions. We then…

High Energy Physics - Lattice · Physics 2014-11-18 Judah Unmuth-Yockey , Yannick Meurice , James Osborn , Haiyuan Zou

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric…

High Energy Physics - Theory · Physics 2017-11-16 Mohammad Asadi , Omid Baghchesaraei , Reza Fareghbal

We calculate the vacuum expectation values of the stress-energy bitensor of a minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin…

High Energy Physics - Theory · Physics 2015-05-28 H. T. Cho , B. L. Hu