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0 votes
1 answer
56 views

Non-minimally coupled inflation

In Wikipedia you can read under the Keyword Inflaton , the Formula: What do the individual formula symbols mean in the following formula: $$S=\int d^{4}x \sqrt{-g} \left[\frac{1}{2}m^2_{P}R-\frac{1}{2}...
Mark007's user avatar
  • 11
5 votes
3 answers
717 views

Are there fields (of any kind) inside a black hole?

It is said that nothing escapes from black holes, not even light. All particles are now thought to be excitation of different fields (electric field, electromagnetic field, photon field, etc). Does it ...
Roy Closa's user avatar
  • 137
3 votes
1 answer
264 views

Energy-momentum tensor in two-dimensional spacetime

If we consider the following 2D theory $$S=\int d^2 x\sqrt{-g}\left(R+\mathcal{L}_{\rm matter}\right).$$ I understand that the gravity is trivial in two-dimensional spacetime because the Einstein ...
Wein Eld's user avatar
  • 3,691
1 vote
0 answers
261 views

Canonical Quantization in QFT in curved spacetime

Let $\varphi(x)$ be a scalar field propagating on some curved background $g_{\mu\nu}$, satisfying the field equation \begin{equation} D[\varphi] = 0 \end{equation} where $D$ is some differential ...
grimx's user avatar
  • 31
7 votes
1 answer
3k views

Why do we impose de Donder gauge?

In the field language, a massless particle corresponds to irreducible representations of the Lorentz group. In particular, given a spin-2 massless particle, we can embed the creation and annihilation ...
apt45's user avatar
  • 2,197
4 votes
1 answer
354 views

S-duality of Einstein-Maxwell-Dilaton theory

Consider theory with action $$S = \int d^D x \sqrt{-g} (R - \frac{1}{2} \partial_\mu \phi \partial^\mu \phi - \frac{1}{2k!} e^{a \phi} F^2 _{[k]} ) $$ where $\phi$ is dilaton and $F_{[k]}$ is ...
newt's user avatar
  • 546
1 vote
1 answer
285 views

Equivalence principle for test fields

My question is very simple. We all know that, for a test particle(classical) in a gravitational field, the motion is only determined by the geodesic lines(let's forget about the initial conditions for ...
night cat's user avatar
35 votes
2 answers
10k views

Energy-Momentum Tensor in QFT vs. GR

What is the correspondence between the conserved canonical energy-momentum tensor, which is $$ T^{\mu\nu}_{can} := \sum_{i=1}^N\frac{\delta\mathcal{L}_{Matter}}{\delta(\partial_\mu f_i)}\partial^\nu ...
PPR's user avatar
  • 2,024
4 votes
1 answer
509 views

Definition of vacuum in field theory; Connection between the classical definition and the connection to QFT

I am a bit confused by what is defined to be a vacuum in field theory. Classically a vaccum state is defined to be the state where the field sits at some minima of the potential $\frac{\partial V}{\...
user40469's user avatar
  • 171