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4 votes
1 answer
209 views

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 $$ds^2=-dt^2+b^2(t)d\vec x^2.$$ ...
2 votes
0 answers
128 views

Prerequisites to learn/work on double copy theory and amplitude methods for gravity

I am a PhD student in classical gravity; specifically in BH perturbation and GW. I am interested in learning about the double copy and the use of scattering amplitudes in understanding GW physics. I ...
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 ...
0 votes
2 answers
69 views

Variation in the context of symmetries

I’m rephrasing a suggestion as a question because there was an aspect to it where I wanted to know more as well. I have studied both general relativity and particle physics, though in both cases my ...
32 votes
8 answers
5k views

Explain to a non-physicist what goes wrong when trying to quantize gravity

I am not a physicist, but I'm trying to get a little bit of an understanding of why it is hard to extend the standard model with quantum gravity (i.e. why it's hard to combine QM and GR), cf. e.g. A ...
32 votes
4 answers
13k views

Why is quantum gravity non-renormalizable?

The book The Ideas Of Particle Physics contains a brief treatment of quantum gravity, in which the claim is asserted that if one attempts to construct a model of gravity along the same lines as QED, ...
0 votes
1 answer
70 views

Is the background independence of dynamics a necessary condition for physical theories?

I read in the answer of Lubos Motl to this question that the dynamics of string theory is demonstrably background-independent while the (manifest) background independence is an aesthetic ...
4 votes
0 answers
84 views

Is the only consistent massless spin-2 QFT really exactly General Relativity in the classical limit or only linearized limit?

I'm trying to understand to what extent it is a "miracle" that a massless spin-2 field "postdicts" general relativity. I think there is some early theorem of Weinberg that shows ...
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 ...
4 votes
1 answer
283 views

Showing that the Ricci scalar equals a product of commutators

I have to compute the square of the Dirac operator, $D=\gamma^a e^\mu_a D_\mu$ , in curved space time ($D_\mu\Psi=\partial_\mu \Psi + A_\mu ^{ab}\Sigma_{ab}$ is the covariant derivative of the spinor ...
0 votes
0 answers
38 views

Bitensors at three or more space-time points

Bitensors, i.e. tensors at two points that have indices belonging to either of them, have been used in the literature quite a bit and there are many calculations involving them. They are the go-to ...
3 votes
1 answer
278 views

Showing Electromagnetism (QED) is not invariant under active diffeomorphisms

I recently gave a presentation on gauge invariance in general relativity that was, in a small part based upon [https://arxiv.org/pdf/gr-qc/9910079v2.pdf]. In this the authors state (top of page 30); ...
0 votes
0 answers
97 views

If dark energy has constant density, would it still be subject to quantum variations; would increase/decrease be symmetrical, or would one take over?

There are different suggestions, but it stills seems like the basic scenario is for dark energy to have constant density, as a property of space (and as represented by the cosmological constant in ...
1 vote
0 answers
33 views

Accelerating frame of reference, fermions and probability conservation

I'm looking at solutions to the massless Dirac equation in an accelerating frame of reference in $(1+1)$-dimensions but the wave functions I get appear to violate probability conservation. My ...
1 vote
0 answers
75 views

Use of mathematical structure on physics [closed]

I want resources for studying in detail the connection between the mathematical structures of physical theories and said physical theories. For example, i know what a Hilbert space or a principal ...

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