All Questions
Tagged with quantum-field-theory qft-in-curved-spacetime
187
questions
2
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0
answers
30
views
Quantum field expansion and bogoliubov coefficients in the interior of a rotating black hole
I am trying to quantize a real scalar field in the interior of a rotating black hole (3+1 D, asymptotically flat). My question is regarding the modes of the radial part of the equation (obtained after ...
- 107
1
vote
0
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122
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On which bundle do QFT fields live?
In QFT, there is a vector field of electromagnetism, usually notated by $A$, which transforms as a 1-form under coordinate changes. Since quantum fields are operator-valued, I thought it is a section ...
- 61
0
votes
1
answer
44
views
Bogoliubov transformation of Bunch-Davies vacuum
Let $\left|0\right>$ be the Bunch-Davies vacuum state of a QFT, for example a free scalar field, in de Sitter space. The creation and annihilation operators w.r.t. this state is a vacuum, i.e. $a^...
- 505
2
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0
answers
59
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Canonical commutation relations of quantum fields in null coordinates
To quantize a scalar field, we impose the equal time commutation relations
$$
[\Phi(t,\mathbf{x}),\partial_t\Phi(t,\mathbf{x}')] = i\hbar\delta^{(3)}(\mathbf{x-x'}).
$$
This can also be generalized to ...
- 107
5
votes
1
answer
88
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Is there any notion of spin-statistics in curved spacetime?
It is a well established fact that all known particles obey either Fermi-Dirac statistics (for fermions) or Bose-Einstein statistics (for bosons), at least in the context of relativistic quantum ...
- 126
4
votes
1
answer
209
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Is gravitational particle production due to symmetry breaking?
A well-known fact about QFTs in curved spacetimes is that there is a phenomenon of particle production in expanding universes, these being described by the line element $$ds^2=-dt^2+b^2(t)d\vec x^2.$$
...
- 503
1
vote
1
answer
92
views
Non-Hermiticity of the Dirac Hamiltonian in curved spacetime
In flat spacetime, Dirac fermions are classically described by the action
$$
S=\int d^Dx\;\bar\psi(x)\left(i\gamma^a\partial_a-m\right)\psi(x).
$$
One can generalize this to a general curved spacetime ...
- 503
-1
votes
1
answer
52
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Does matter in the outside universe affect Hawking radiation? [closed]
Is there a way to modify the event horizon to make it generate other particles by affecting quantum fields outside with a giant charge increasing quantum foam disruptions affecting the radiation? Is ...
- 1,534
3
votes
0
answers
90
views
Relation between the Casimir energy and the central charge in CFT in general
In 2d CFT we know that the Casimir energy of the vacuum is proportional to the conformal central charge $c$.
$$
F_L=f_0 L-\frac{\pi c}{6 L} \tag{1}
$$
where $F$ is the free energy and L is the ...
- 31
0
votes
0
answers
75
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Point-splitting regularization for anomaly in curved spacetime
In flat spacetime, the point-splitting regularization for (chiral) anomaly is discussed in great details in Peskin and Schroeder's QFT.
Does anyone know any good references for calculating anomaly ...
3
votes
1
answer
45
views
Counterexample to the observable algebra of a region and its causal completion being the same
I was reading a paper by Ed Witten called "Algebras, Regions and Observers". It can be found here: https://arxiv.org/abs/2303.02837
A major theme is theorems relating the algebra of ...
7
votes
1
answer
1k
views
What is the Hilbert dimension of a Fock space?
Quantum field theory in curved spacetimes is often described in the algebraic approach, which consists of describing observables as elements of a certain $*$-algebra. To recover the notion of a ...
- 22.1k
4
votes
1
answer
202
views
Boundary conditions and field quantization in AdS
While studying the AdS/CFT correspondence, one encounters very early the example of a scalar field in AdS. The general solution to the Klein-Gordon equation in the limit $z\rightarrow 0$ may be ...
- 98
0
votes
0
answers
39
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Canonical quantization of gauge field under the Schwarzschild background
I have read some papers (e.g.0803.2001, PhysRevD.24.297, especially section 4 in 1809.03467 ) to find the mode expansion of gauge field under the Schwarzschild background.
In paper PhysRevD.24.297, ...
- 347
1
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0
answers
74
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Curved spacetime generalization of Bethe-Salpeter equation
I am interested in the problem of bound states in QFT in curved spacetime. I was wondering if the generalization of the Bethe-Salpeter equation is as simple as replacing the Green’s functions in the ...
- 51