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Nonequilibrium calculations in the presence of an electric field are usually performed in a gauge, and need to be transformed to reveal the gauge-invariant observables. In this work, we discuss the issue of gauge invariance in the context…

Strongly Correlated Electrons · Physics 2015-10-28 J. K. Freericks , H. R. Krishnamurthy , M. A. Sentef , T. P. Devereaux

Angular momentum is taught in every classical mechanics course. It is a difficult topic with misconceptions commonly forming significant barriers to student success. My intention in writing this paper is to combat some of the most common…

Physics Education · Physics 2018-10-02 John M Hughes

The total gluon helicity in a polarized proton, measurable in high-energy scattering, is shown to be the large momentum limit of a gauge-invariant but non-local, frame-dependent gluon spin $\vec{E}\times \vec{A}_\perp$ in QCD. This opens a…

High Energy Physics - Phenomenology · Physics 2013-09-16 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

A decomposition of the angular momentum of the classical electromagnetic field into orbital and spin components that is manifestly gauge invariant and general has been obtained. This is done by decomposing the electric field into its…

Classical Physics · Physics 2007-05-23 A. M. Stewart

To incorporate quantum nonlocality into general relativity, we propose that the preparation and measurement of a quantum system are simultaneous events. To make progress in realizing this proposal, we introduce a spacetime geometry that is…

General Physics · Physics 2023-11-01 Charlie Beil

Searches for new physics using muons are reviewed. Particular attention is paid to muon number non-conserving processes, like the decay muon-->e+gamma and muon-electron conversion in muonic atoms. Also, experimental determinations and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Andrzej Czarnecki

Adiabatic perturbations in the cosmology of a quintessential scalar field with exponential potential gravitationally coupled to radiation/matter are investigated in a gauge invariant formalism. The main question addressed in this paper is…

Astrophysics · Physics 2009-11-06 Tassilo Ott

The question is discussed whether the momentum of a photon has a quantum uncertainty or whether it is a classical quantity. The latter assumption is the main characteristic of reducible Quantum Electrodynamics (rQED). Recent experiments in…

Quantum Physics · Physics 2018-12-31 Jan Naudts

The gauge dependence in the anomalous dimension of the gauge-invariant-canonical-energy-momentum tensor for proton is studied by the background field method. The naive calculation shows the problem, the absence of the counter term in the…

High Energy Physics - Phenomenology · Physics 2017-03-17 Yoshio Kitadono , Pengming Zhang

Fundamental physics could be described as having a muon problem. Discrepancies between theory and experiment in a number of muonic measurements ($r_P$, $a_\mu$, $H\rightarrow\mu\tau$, $\mathcal{R}_K$, $\mathcal{R}_{D^*}$) have been observed…

High Energy Physics - Phenomenology · Physics 2015-10-01 Henry Lamm

Gauge symmetries are often highlighted as a fundamental cornerstone of modern physics. But at the same time, it is commonly emphasized that gauge symmetries are not a fundamental feature of nature but merely redundancies in our description.…

History and Philosophy of Physics · Physics 2019-01-30 Jakob Schwichtenberg

One of the important questions in high energy physics is the relation of quark and gluon spin to that of the nucleons which they comprise. Polarization experiments provide a mechanism to probe the spin properties of elementary particles and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gordon P. Ramsey

The spin of a glueball is usually taken as coming from the spin (and possibly the orbital angular momentum) of its constituent gluons. In light of the difficulties in accounting for the spin of the proton from its constituent quarks, the…

High Energy Physics - Theory · Physics 2009-10-31 Doug Singleton

We estimate in the QCD sum rule approach the amount of the nucleon spin carried by the gluon angular momentum: the sum of the gluon spin and orbital angular momenta. The result indicates that gluons contribute at least one half of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky , Xiangdong Ji

The supertranslation ambiguity issue of angular momentum is a long-standing problem in general relativity. Recently, there appeared the first definition of angular momentum at null infinity that is supertranslation invariant. However, in…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Xiaokai He , Xiaoning Wu , Naqing Xie

In condensed matter systems it is necessary to distinguish between the momentum of the constituents of the system and the pseudomomentum of quasiparticles. The same distinction is also valid for angular momentum and pseudoangular momentum.…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Simon Streib

The longstanding discrepancy between the measured and the predicted values of the anomalous magnetic moment of the muon, $a_\mu = (g-2)/2$, is one of the most intriguing potential hints of new physics in particle physics. After a brief…

High Energy Physics - Phenomenology · Physics 2023-01-18 Bogdan Malaescu

During nuclear fission, a heavy nucleus splits into two rotating fragments. The associated angular momentum is large, yet the mechanism of its generation and its dependence on the mass of fragments remain poorly understood. In this Letter,…

Nuclear Theory · Physics 2021-08-11 Petar Marević , Nicolas Schunck , Jorgen Randrup , Ramona Vogt

Although gauge invariance preserves the values of physical observables, a gauge transformation can introduce important alterations of physical interpretations. To understand this, it is first shown that a gauge transformation is not, in…

Quantum Physics · Physics 2013-02-07 H. R. Reiss

We give a gauge-invariant treatment of the angular momentum sum-rule for the proton in terms of matrix elements of three gauge-invariant, local composite operators. These matrix elements are decomposed into three independent form factors,…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. M. Shore , B. E. White