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This article reviews some aspects of local covariance and of the ambiguities and anomalies involved in the definition of the stress energy tensor of quantum field theory in curved spacetime. Then, a summary is given of the approach proposed…

广义相对论与量子宇宙学 · 物理学 2011-06-07 Rainer Verch

We begin a systematic study of Quantum Energy Inequalities (QEIs) in relation to local covariance. We define notions of locally covariant QEIs of both 'absolute' and 'difference' types and show that existing QEIs satisfy these conditions.…

数学物理 · 物理学 2015-06-26 Christopher J. Fewster , Michael J. Pfenning

From the beginning of the subject, calculations of quantum vacuum energies or Casimir energies have been plagued with two types of divergences: The total energy, which may be thought of as some sort of regularization of the zero-point…

高能物理 - 理论 · 物理学 2015-05-18 Kimball A. Milton

We consider the one-loop renormalization of QED in curved space-time with additional Lorentz and/or CPT breaking terms. The renormalization group equations in the vacuum sector are derived. In the special case of Minkowski metric and with…

高能物理 - 理论 · 物理学 2009-11-11 G. de Berredo-Peixoto , I. L. Shapiro

It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the…

高能物理 - 理论 · 物理学 2015-05-30 Francisco D. Mazzitelli , Jean Paul Nery , Alejandro Satz

A local current of particle density for scalar fields in curved background is constructed. The current depends on the choice of a two-point function. There is a choice that leads to local non-conservation of the current in a time-dependent…

广义相对论与量子宇宙学 · 物理学 2014-11-17 H. Nikolic

We argue that localized excitations in Minkowski space must be thought of as constrained states of holographic degrees of freedom. The Minkowski "vacuum" is in fact a density matrix of infinite entropy. The argument assumes that Minkowski…

高能物理 - 理论 · 物理学 2017-10-04 T. Banks

The local Minkowski tensors are valuations on the space of convex bodies in Euclidean space with values in a space of tensor measures. They generalize at the same time the intrinsic volumes, the curvature measures and the isometry covariant…

度量几何 · 数学 2014-05-07 Daniel Hug , Rolf Schneider

Quasilocal definitions of stress-energy-momentum -- that is, in the form of boundary densities (rather than local volume densities) -- have proven generally very useful in formulating and applying conservation laws in general relativity. In…

广义相对论与量子宇宙学 · 物理学 2021-04-27 Marius Oltean , Hossein Bazrafshan Moghaddam , Richard J. Epp

The Minkowski tensors are valuations on the space of convex bodies in ${\mathbb R}^n$ with values in a space of symmetric tensors, having additional covariance and continuity properties. They are extensions of the intrinsic volumes, and as…

度量几何 · 数学 2016-05-04 Daniel Hug , Rolf Schneider

We compute the two-point function and the renormalized expectation value of the stress tensor of a quantum field interacting with a nucleating bubble. Two simple models are considered. One is the massless field in the Vilenkin-Ipser-Sikivie…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Xavier Montes

Recently, a new algorithm for the computation of covariant Lyapunov vectors and of corresponding local Lyapunov exponents has become available. Here we study the properties of these still unfamiliar quantities for a number of simple models,…

混沌动力学 · 物理学 2015-05-18 Hadrien Bosetti , Harald A. Posch , Christoph Dellago , William G. Hoover

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these…

广义相对论与量子宇宙学 · 物理学 2007-12-05 Ll. Bel

We derive expressions for the expectation values of the local energy and the local power transferred by an external electrical field to a many-particle system of interacting spinless electrons. In analogy with the definition of the (local)…

量子物理 · 物理学 2016-06-22 Guillermo Albareda , Fabio Lorenzo Traversa , Xavier Oriols

We study conformal properties of the quantum kinetic equations in curved spacetime. A transformation law for the covariant Wigner function under conformal transformations of a spacetime is derived by using the formalism of tangent bundles.…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Oleg A. Fonarev

We show that local Lorentz covariance arises canonically as the group of transformations between local thermal states in the framework of Local Quantum Physics, given the following three postulates: (i) Local observable algebras are…

广义相对论与量子宇宙学 · 物理学 2017-12-07 Matti Raasakka

We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

综合物理 · 物理学 2016-04-11 Chris Fietz

We derive a general closed expression for the local pressure exerted onto the corrugated walls of a channel confining a fluid medium. When the fluid medium is at equilibrium the local pressure is a functional of the shape of the walls. It…

软凝聚态物质 · 物理学 2018-02-07 Paolo Malgaretti , Markus Bier

To relax the apparent tension between nonlocal hidden variables and relativity, we propose that the observable proper time is not the same quantity as the usual proper-time parameter appearing in local relativistic equations. Instead, the…

高能物理 - 理论 · 物理学 2015-05-27 H. Nikolic

The definition of local spatial densities by using sharply localized one-particle states is applied to spin-3/2 systems. Matrix elements of the electromagnetic current and the energy-momentum tensor are considered and integral expressions…

高能物理 - 唯象学 · 物理学 2023-02-22 H. Alharazin , B. -D. Sun , E. Epelbaum , J. Gegelia , U. -G. Meißner
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