Linked Questions

The Maxwell equations are invariant under the transformation $$A_{\mu} \rightarrow A_{\mu} - \dfrac{1}{e}\partial_{\mu}\alpha(x)$$ where $\alpha(x)$ is a phase transformation varying from point to ...

In the Standard Model, U(1) corresponds to the electromagnetic, SU(2) to weak, and SU(3) to strong interactions. I realize that gravity is not a part of the Standard Model. However, sometimes gravity ...

Here I asked a question. In one curious comment, I see a statement that gravity is a gauge theory. However, my definition (based on what I read till date) of a gauge theory is a field theory which is ...

In General Relativity Theory, there is a great freedom in the choice of space-time coordinates. As long as two coordinate systems can be related by a diffeomorphism, it seems that they both serve to ...

I have studied the first five chapters of Carroll's book (up to the Schwarzschild solution). I see similarities to the Yang-Mill theories such as the covariant derivative to account for curvature in ...

Gauge theories are those which can be written with a Lie group as a symmetry group. According to Sean M Caroll's book, I can find the Lorentz group or Poincare group. So can General Relativity be a ...

Currently, (classical) gravity (General Relativity) is NOT a gauge theory (at least in the sense of a Yang-Mills theory). Why should "classical" gravity be some (non-trivial or "special" or extended)...

I want to outline a solid argument (or bulletpoints) to show how weak is the idea of ${\rm Diff}(M)$ being the gauge group of general relativity. basically i have these points that in my view are very ...

On page 116 of this book it is said, that reparameterization invariance of the string action is analogous to the gauge invariance in electrodynamices. Whereas Maxwell's equations are symmetric under ...

Let the Poincaré algebra be given without any factors of i as $[P_\mu,P_\nu]=0$, $[M_{\rho \sigma},P_\mu]=\eta_{\sigma\mu}P_\rho-\eta_{\rho\mu}P_\sigma$, $[M_{\mu\nu},M_{\rho\sigma}]=\eta_{\nu\rho}...

In the case of charge a global $U(1)$ symmetry leads to the conservation of charge, however upgrading the global symmetry to a local symmetry leads to the electromagnetic potential field $A^\mu$ such ...

Consider the frame bundle $LM \to M$ for given Lorentzian manifold $M$. The group $\mathcal{G}$ of gauge transformations of the second kind are automorphisms $\phi:LM \to LM$ covering the identity $\...

The longer version of the question is: should we regard special relativity just as a spontaneous symmetry breaking phase of general relativity, driven by the non-zero vacuum expectation value (VEV) of ...

There are a number of questions here discussing gravity as a gauge theory of the Lorentz group. I am trying to find the Lagrangian this gauge produces, and the other discussions stop just short of ...

Is general covariance a symmetry? If it is, what is its symmetry group and corresponding generator?