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### If gravity is a gauge theory, what is the Lie group? [duplicate]

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 ...
371 views

### Is general covariance a symmetry?

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

### Why is General Relativity considered a gauge theory? [duplicate]

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 ...
196 views

### Does gravity have a gauge symmetry group? [duplicate]

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 ...
299 views

### Why are string theorist so indifferent to the gauge structure of gravity? [closed]

Gravity shares many of the characteristics of Yang-Mills gauge theory. For example, the affine connection plays the similar role as the gauge potential in gauge theory, the Riemann tensor plays the ...
100 views

### Gravity as a gauge theory - Cartan-Killing form?

First, let me state the form of Lagrangian for YM and GR \begin{align} L_{YM} = \alpha \textrm{tr}(F^2), \qquad L_{GR} = \beta R \end{align} I heard, YM is a gauge theory but GR isn't a really gauge ...
8k views

### Gravity as a gauge theory

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)...
1k views

### Gauge transformations in gravity [duplicate]

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 ...
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### In which contexts are gauge theories applied?

According to the book Quantum Field Theory for the Gifted Amateur, on page 128 they say A theory which had a field $A^\mu(x)$ introduced to produce an invariance with respect to local ...
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### argument about fallacy of diff(M) being a gauge group for general relativity

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