# Questions tagged [gauge]

Use this tag to discuss gauge-fixing conditions, as in the phrase 'choosing a gauge', such as, e.g. the Lorenz gauge, Coulomb gauge, Feynman gauge, Landau gauge, axial gauge, temporal gauge, light cone gauge, etc.

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### How to get retarded scalar potential in Coulomb electrodynamics and what's the use?

In Coulomb gauge electrodynamics with potential $(\phi,\vec{A})$ and source $(\rho,\vec{J})$ we obtain the Poisson's equation for the scalar equation and the wave equation with transverse current ...
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### Why is $Z_3= Z_\xi$ in a non-abelian gauge theory?

In my lecture notes for a course on QFT it is said that, also in non-abelian gauge theories, the identity $Z_3 = Z_\xi$ holds, where those renormalization parameters belong respectively to the ...
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### Why can we always find $\vec A$ such that it satisfies Coulomb (or Lorenz) gauge and Maxwell's equations?

I have a short question about the Coulomb potential. Let $\vec{E}$ and $\vec{B}$ be the electric field and magnetic field respectively. The electric field and magnetic fields are described by the ...
1 vote
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### 4-Vector Potential, transformation under Lorenz Gauge [closed]

I am given an initial vector potential let's say: \begin{equation} \vec{A} = \begin{pmatrix} g(t,x)\\ f(t,y)\\ 0\\ g(t,x)\\ \end{pmatrix} \end{equation}
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### Holomorphic sections that lead to the original parameterization of the gauged STU model

The original action, given in 9903214, comes from the $\mathcal{N} = 2$ abelian truncation of the maximal $\mathcal{N} = 8$, $SO(8)$ gauged supergravity that can be obtained from $S^ 7$ reduction of ...
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### Why are gauge theories so significant? [duplicate]

As a disclaimer, the only gauge theory I know so far is from electromagnetism. I have read that gauge theory is a big part of modern physics and it heavily underlies much of the standard model. ...
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### Gauge fixing in the magnetic induction equation

The magnetic induction equation for a fluid with zero resistivity may be written as \begin{equation} \frac{\partial \mathbf{B}}{\partial t} + \nabla \times (\mathbf{B} \times \mathbf{u}) = 0 \end{...
1 vote
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### Feynman-Propagator of the gauge-fixed electromagnetic field

I want to find the Feynman propagator for the so called $R_\zeta$ gauge fixed electromagnetic field. The lagrangian density is given by: \begin{align} L = -\frac{1}{4}F_{\mu\nu}F^{\mu\nu}-\frac{1}{2\...