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Related papers: The Coulomb static gauge

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We present an educational path on the magnetic vector potential A addressed to undergraduate students and to pre-service physics teachers. Starting from the generalized Ampere-Laplace law, in the framework of a slowly varying time-dependent…

Classical Physics · Physics 2015-06-15 Sara Barbieri , Michela Cavinato , Marco Giliberti

In recent years, the quantum computing method has been used to address the sign problem in traditional Monte Carlo lattice gauge theory (LGT) simulations. We propose that the Coulomb gauge (CG) should be used in quantum simulations of LGT.…

High Energy Physics - Lattice · Physics 2025-09-08 Tianyin Li

Coulomb drag is a transport phenomenon whereby long-range Coulomb interaction between charge carriers in two closely spaced but electrically isolated conductors induces a voltage (or, in a closed circuit, a current) in one of the conductors…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 B. N. Narozhny , A. Levchenko

The structure of leading nonperturbative corrections to the static Coulomb potential in QCD at small distances is analyzed. We argue in favor of the correction linearly dependent on distance and remark that lattice measurements of static…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Shevchenko

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we…

High Energy Physics - Lattice · Physics 2021-07-28 Alexander Lehmann , Alexander Rothkopf

By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to…

Quantum Physics · Physics 2015-02-25 K. Bakke , C. Furtado

We consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field…

High Energy Physics - Theory · Physics 2023-02-28 Bogdan Damski

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric…

Strongly Correlated Electrons · Physics 2009-11-13 D. Charrier , F. Alet , P. Pujol

The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of…

Analysis of PDEs · Mathematics 2022-04-08 Zied Ammari , Marco Falconi , Fumio Hiroshima

The static color-Coulomb interaction potential is calculated as the solution of a non-linear integral equation which arises in the Hamiltonian Coulomb gauge when the restriction to the interior of the Gribov horizon is implemented. The…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

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

For Abelian gauge theory a properly relativistic gauge is developed by supplementing the Lorentz condition with causal determination of the time component of the four-vector potential by retarded Coulomb transformation of the charge…

General Physics · Physics 2010-11-19 Steven Kenneth Kauffmann

We study the approach, initiated by Marinari et al., to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. We show that, at small spatial separations, the potential can be…

High Energy Physics - Lattice · Physics 2008-11-26 Tom Heinzl , Kurt Langfeld , Martin Lavelle , David McMullan

A new representation of the scalar electrodynamics is discovered which gives a more redundant description of electromagnetic theory and suitable to construct an appropriate matter action which contains two global symmetries . The symmetries…

High Energy Physics - Theory · Physics 2022-08-23 SK moinuddin , Pradip Mukherjee

A contour gauge of general type is analysed where 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an arbitrary contour $C$. For a special class of contours the gauge condition reduces to…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Shevchenko , Yu. A. Simonov

Three-dimensional scalar electrodynamics, with a local U(1) gauge symmetry, is believed to be dual to a scalar theory with a global U(1) symmetry, near the phase transition point. The conjectured duality leads to definite predictions for…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , K. Rummukainen

The system of N scalar particles with Grassmann-valued color charges plus the color SU(3) Yang-Mills field is reformulated on spacelike hypersurfaces. The Dirac observables are found and the physical invariant mass of the system in the…

High Energy Physics - Theory · Physics 2014-11-18 David Alba , Luca Lusanna

We derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current distribution. No gauge condition is used in the derivation.…

Classical Physics · Physics 2025-07-04 Kuo-Ho Yang , Robert D. Nevels

In electromagnetic statics, the standard procedure to determine the electric scalar potential or magnetic vector potential in a bounded space is to solve Poisson's equation subject to certain boundary conditions. On the other hand, as a…

Classical Physics · Physics 2025-05-05 Weiwei Zhao , Hao Jin , Hao Guo