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Gauge invariance and soft limits can be enough to determine the analytic structure of scattering amplitudes in certain theories. This prompts the question of how gauge invariance is connected to analytic structure in more general theories.…

高能物理 - 理论 · 物理学 2020-04-30 Anton Ilderton , Alexander J. MacLeod

We consider two concepts often discussed as significant features of general relativity (particularly when contrasted with the other forces of the Standard Model): background independence and diffeomorphism invariance. We remind the reader…

广义相对论与量子宇宙学 · 物理学 2015-12-14 Casey Cartwright , Alex Flournoy

The aim of electrical impedance tomography is to form an image of the conductivity distribution inside an unknown body using electric boundary measurements. The computation of the image from measurement data is a non-linear ill-posed…

数值分析 · 数学 2011-09-28 Samuli Siltanen , Janne P. Tamminen

This article examines the inverse problem for a lossy quantum graph that is internally excited and sensed. In particular, we supply an algorithmic methodology for deducing the topology and geometric structure of the underlying metric graph.…

度量几何 · 数学 2010-08-18 Michael Robinson

Region-of-Interest (ROI) tomography aims at reconstructing a region of interest $C$ inside a body using only x-ray projections intersecting $C$ with the goal to reduce overall radiation exposure when only a small specific region of the body…

Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially…

高能物理 - 理论 · 物理学 2019-08-07 Peter M. Lavrov , Ilya L. Shapiro

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role…

高能物理 - 理论 · 物理学 2024-07-30 P. M. Lavrov , I. L. Shapiro

We study some stochastic models of physical mapping of genomic sequences. Our starting point is a global construction of the process of the clones and of the process of the anchors which are used to map the sequence. This yields explicit…

概率论 · 数学 2007-05-23 Didier Piau

Internal gravity waves play a primary role in geophysical fluids: they contribute significantly to mixing in the ocean and they redistribute energy and momentum in the middle atmosphere. Until recently, most studies were focused on plane…

流体动力学 · 物理学 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

It is shown that a system with quantum coherence can be nontrivially affected by adjacent magnetic or adjacent time-varying electric field regions, with this proximity (or remote) influence having a gauge origin. This is implicit (although…

综合物理 · 物理学 2014-02-13 K. Moulopoulos

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

The geometric properties of General Relativity are reconsidered as a particular nonlinear interaction of fields on a flat background where the perceived geometry and coordinates are "physical" entities that are interpolated by a patchwork…

量子物理 · 物理学 2015-01-20 Clifford E. Chafin

In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be…

高能物理 - 理论 · 物理学 2007-05-23 A. Ashtekar , J. Lewandowski , D. Marolf , J. Mourao , T. Thiemann

It is shown that space-time dependent gauge couplings do not completely break gauge invariance. We demonstrate this in various gauge theories.

高能物理 - 理论 · 物理学 2015-06-03 Noureddine Mohammedi

Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or…

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is exposed to radiation, typically light or ultrasound, and the…

数值分析 · 数学 2024-03-26 Clemens Kirisits , Noemi Naujoks , Otmar Scherzer

Gauging is a general procedure for mapping a quantum many-body system with a global symmetry to one with a local gauge symmetry. We consider a generalized gauging map that does not enforce gauge symmetry at all lattice sites, and show that…

量子物理 · 物理学 2024-03-15 Kfir Dolev , Vladimir Calvera , Sam Cree , Dominic J. Williamson

Fractonic matter with dipole symmetry can be coupled to a two-index symmetric tensor gauge field. In this work, we show that this symmetric tensor field, along with other related generalized Maxwell theories, can be consistently coupled to…

高能物理 - 理论 · 物理学 2025-03-13 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

The aim of this paper is twofold: First, to present an examination of the principles underlying gauge field theories. I shall argue that there are two principles directly connected to the two well-known theorems of Emmy Noether concerning…

量子物理 · 物理学 2007-05-23 Holger Lyre

Physical systems may couple to other systems through variables that are not gauge invariant. When we split a gauge system into two subsystems, the gauge-invariant variables of the two subsystems have less information than the gauge…

高能物理 - 理论 · 物理学 2021-04-14 Carlo Rovelli