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3 votes
0 answers
35 views

Static Patch Decomposition of Bunch Davies Vacuum

In the Jerusalem Lectures on Black Holes section 3.3 the author considers a QFT in Minkowski space. He then picks out a space coordiante, say $x$, and divides the Hilbert space $H$ of the QFT in two ...
Aralian's user avatar
  • 505
2 votes
0 answers
91 views

Informal derivation of the Unruh temperature

Imagine a charged particle of mass $m$ at rest in the electromagnetic vacuum. The particle interacts most strongly with zero-point modes that have a wavelength $\lambda_C$ similar to the Compton ...
John Eastmond's user avatar
0 votes
0 answers
56 views

An example of the vacuum emitting photons?

Imagine we have two parallel wires with a potential difference of $V$ volts that form the opposite sides of a square of size $\lambda$. Any virtual electron-positron pairs that form between the wires ...
John Eastmond's user avatar
11 votes
1 answer
2k views

Does an electric field cause the vacuum to emit photons?

As I understand it electron-positron pairs pop in and out of the vacuum on a time scale $T$ inversely proportional to the electron mass. Imagine we put a static electric field across the vacuum. ...
John Eastmond's user avatar
2 votes
1 answer
129 views

Davies & Unruh: vacuum temperature is proportional to acceleration. But $T$ is not a vector

Davies and Unruh showed that vacuum temperature is given by acceleration: $$T = \frac{\hbar a}{2 \pi k_\mathrm B c}.$$ But acceleration is a vector, temperature is not. If vacuum temperature produces ...
user avatar
6 votes
1 answer
464 views

For Hawking radiation, is the scalar field $\phi$ assumed to be in the Unruh vacuum state?

In Hawking's paper "Particle Creation by Black Holes" I'm not really able to pick apart what vacuum state Hawking is assuming the field $\phi$ to be in. The paper "Hawking radiation as ...
QuantumEyedea's user avatar
3 votes
1 answer
220 views

Why does annihilation and creation operator mix in curved spacetime?

When doing QFT in curved spacetime we do Bogoliubov transformation to find one set of annihilation and creation operators in terms of others. In the paper Particle creation by black holes Hawking ...
aitfel's user avatar
  • 3,043
17 votes
2 answers
1k views

Existence of the Unruh effect

In the paper Quantum field aspect of Unruh problem (and others with similar approaches) Buchholz and Verch show that applying the rigorous algebraic approach to QFT, the derivation of the Unruh effect ...
Gold's user avatar
  • 36.4k
2 votes
1 answer
375 views

Can the fact that the vacuum energy in curved spacetime is not boost invariant be explained without mathematics?

I read in an answer to a question if Hawking radiation can be explained without too much mathematics that this is impossible insofar the vacuum energy is not boost invariant in a curved spacetime. ...
Deschele Schilder's user avatar
44 votes
3 answers
10k views

An explanation of Hawking Radiation

Could someone please provide an explanation for the origin of Hawking Radiation? (Ideally someone who I have been speaking with on the h-bar) Any advanced maths beyond basic calculus will most ...
Noah P's user avatar
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