Can Expanding Space Overcome Quark Confinement in Particles?

  • Thread starter Thread starter stedwards
  • Start date Start date
  • Tags Tags
    Expansion Qcd
stedwards
Messages
416
Reaction score
46
This thread involves a little general relativity and a little particle physics.

Observations indicate that space is expanding at an accelerated rate.

Given this would continue, even atomic nuclei should be torn apart leaving single particles, isolated from one another by causal horizons.

What would ensue once the size of the causal horizon approached the length of asymptotic freedom of the constituent quarks of a meson or baryon?
 
Physics news on Phys.org
stedwards said:
Observations indicate that space is expanding at an accelerated rate.

To make this statement complete, you should add "at cosmological scales" right after expanding. The stars for example don't expand (those things are generally referred to as gravitationally bound objects).

So your idea of torn apart matter is because of a misconception. One way to see the distinction is that in cosmology you are describing an homogeneous and isotropic dust cloud (all the constituent contributions are averaged in this cosmological fluid), whereas the spacetime around a star is described to a good extend by the Schwarzschild metric (probably a more precise answer would be by a more complicated metric, since the space around the star is not vacuum).

stedwards said:
What would ensue once the size of the causal horizon approached the length of asymptotic freedom of the constituent quarks of a meson or baryon?

I don't understand this question, if you could re-ask it in another way?
When the "size" of the universe became large enough (when the energy dropped below the QCD scale), the free quark-gluon plasma underwent a phase transition and hadronized, resulting to pions (which later annihilated) and neutrons/protons.
 
How would I request this thread be moved the Special and General Relativity forum?
 
stedwards said:
This thread involves a little general relativity and a little particle physics.

Observations indicate that space is expanding at an accelerated rate.

Given this would continue, even atomic nuclei should be torn apart leaving single particles, isolated from one another by causal horizons.

What would ensue once the size of the causal horizon approached the length of asymptotic freedom of the constituent quarks of a meson or baryon?

It depends on the nature of dark energy, but if the dark energy pressure remains constant (as in the simplest scenario, where dark energy is a vacuum energy of some kind, i.e. the cosmological constant) then what you describe will never happen. The dark energy density would remain constant per unit spacetime volume, but because objects are moving apart from each other, there gets to be more and more spacetime between them, so the expansion gets faster and faster, i.e. accelerates. But for things which aren't moving apart, i.e. things that are bound together (by electromagnetic/nuclear forces as for atoms, and by gravity for solar system/galaxy/galaxy cluster scales), then the force pulling them apart will not increase with time. So they will never get "ripped" apart.

But, if dark energy IS increasing in density with time, then what you describe could eventually happen. Personally I don't think it is likely :). Note also that the evidence currently is compatible with the constant scenario. But as for what exactly would happen at the scale you describe, I guess you mean something around the confinement scale, I have no idea :).
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
Back
Top