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We present an exploratory study of a gauge-invariant non-perturbative renormalization technique. The renormalization conditions are imposed on correlation functions of composite operators in coordinate space on the lattice. Numerical…

High Energy Physics - Lattice · Physics 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

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

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected)…

High Energy Physics - Theory · Physics 2016-03-23 Arjun Bagchi , Daniel Grumiller , Wout Merbis

The two point correlation function of the stress-energy-momentum tensor describes the propagation of a space-time "micro-earthquake" in the vacuum. In the framework of the path integral formulation of field theory in curved space-time, we…

High Energy Physics - Phenomenology · Physics 2024-04-08 Mirko Serino , Wojciech Broniowski , Enrique Ruiz Arriola

Aim of the paper is to obtain 2d analogue of the backreaction equation which will be useful to study final state of quantum perturbed spherically symmetric curved space times. Thus we take Einstein-massless-scalar $\psi$ tensor gravity…

High Energy Physics - Theory · Physics 2016-09-08 Hossein Ghaffarnejad

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

We investigate the effects of light-cone fluctuations over the renormalized vacuum expectation value of the stress-energy tensor of a real massless minimally coupled scalar field defined in a ($d+1$)-dimensional flat space-time with…

High Energy Physics - Theory · Physics 2014-05-27 V. A. De Lorenci , G. Menezes , N. F. Svaiter

The Maxwell field with a general gauge fixing (GF) term is nontrivial, not only the longitudinal and temporal modes are mixed up in the field equations, but also unwanted consequences might arise from the GF term. We derive the complete set…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Yang Zhang , Xuan Ye

We show that a non-zero renormalised value of the zero-point energy in $\lambda\phi^4$-theory over Minkowski spacetime is in tension with the scalar-field equation at two-loop order in perturbation theory.

High Energy Physics - Theory · Physics 2019-07-19 Viacheslav A. Emelyanov

We study the quantum stress tensor correlation function for a massless scalar field in a flat two-dimensional spacetime containing a moving mirror. We construct the correlation functions for right-moving and left-moving fluxes for an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. H. Ford , Thomas A. Roman

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress-energy tensor and of the…

Mathematical Physics · Physics 2016-02-09 Davide Fermi , Livio Pizzocchero

We make some comments on the renormalization of Wilson operators (not just vacuum -expectation values of Wilson operators), and the features which arise in Minkowski space. If the Wilson loop contains a straight light-like segment, charge…

High Energy Physics - Theory · Physics 2009-10-30 A. Andraši , J. C. Taylor

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 generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale $M_C$. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic vacuum, up to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Lopez Nacir , F. D. Mazzitelli , C. Simeone

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

In this thesis we study the momentum space approach to the solution of the CWI's of CFT's in higher dimensions. Our work's goal is to illustrate the essential steps needed to build tensor correlators starting from the scalar solutions, for…

High Energy Physics - Theory · Physics 2021-04-02 Matteo Maria Maglio

In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

We consider the dynamics of the Sorkin-Johnston (SJ) state for a massless scalar field in two dimensions. We conduct a study of the renormalized stress-tensor by a subtraction procedure, and compare the results with those of the conformal…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Nicolás Avilán , Andrés F. Reyes-Lega , Bruno Carneiro da Cunha

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for…