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Why did Standard Model never sense a requirement to include gravitational quantum?

+ 0 like - 6 dislike
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Standard Model is advanced (lorentz invariant) version of Quantum physics. It tried to include everything which came in the way while understanding quantum world. It even didn't bother to include even Higgs Boson which was hypothetical at that time. Did they never find gravitation in the way of other quantum interaction.

Note: I know, there were many unsuccessful attempts to add gravitation with SM to make Theory of Everything. My question: Why didn't Standard Model keep gravitation as raw ingredients (with unresolved relationship with others)?

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Sachin Shekhar
asked Jul 6, 2012 in Theoretical Physics by Sachin Shekhar (-30 points) [ no revision ]
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Firstly, the concept of the Higgs actually came into play when the SM was being integrated--it fixed a problem with the electroweak interaction. Secondly, the SM wasn't "planned"--it sprouted bit by bit from the unification of forces. Thirdly, it's not as simple to "add" gravitation as a raw ingredient--there's a lot of mathematics behind it, and anyway, like I said, the model was built when the theory behind each force was being unified.

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Manishearth
The standard model is just defined as the low energy theory excluding gravity. It isn't that people willfully excluded gravity, that's just not what the theory is describing. It is therefore incomplete in this way, but it is complete in every other way (so far). The low energy theory is an important thing to understand, so people weren't wasting time making the standard model. Also, the Higgs was a part since the beginning in 1967. What's the question exactly?

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Ron Maimon
@Ron Can you settle down with your standard model equations if gravitational field interfered as a Ghost? That's the question...

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Sachin Shekhar
@Manishearth You can't write down even a single field equation in Standard Model if a ghost quantum is interfering with it. My question is floating around it..

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Sachin Shekhar
@Dilaton I think, Standard Model is flexible even today to include something..

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Sachin Shekhar
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@SachinShekhar: It is not about ghost fields. The reason is simply that the path integral (or other peturbations) diverged and were not renormalisable so they let other people, like string theorists, do that work for them.

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Dimensio1n0
Duplicate: physics.stackexchange.com/questions/7526/…

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user Dimensio1n0

2 Answers

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Read this link to get a framework of where the SM stands as far as interactions go. The SM is a mathematical shorthand of our data for the microcosm of quarks and leptons.

Look at table 1 and you will see that at the level of quarks and leptons the gravitational interaction is so weak that it is completely irrelevant and certainly its effect on the values used in the standard model cannot be measured with our present experimental accuracies.

This post imported from StackExchange Physics at 2014-03-24 03:34 (UCT), posted by SE-user anna v
answered Jul 6, 2012 by anna v (1,710 points) [ no revision ]
+ 2 like - 0 dislike

In Quantum Electrodynamics, things are simple, because the photons are uncharged, so they themselves do not interact through Electromagnetdism, . Of course, there are still divergencies, and you still do need to renormalise, but things are very simple, compared to...

Quantum Chromodynamics,. Things now get much more complicated. Well, the Lagrangian Density takes almost the same form as in Quantum Electrodynamics, but compute anything, is a horror. Why? Gluons themselves have colour charge. SSo the additional gluon potentials, which ignoring constants, is $A^\mu=\nabla^\mu-\partial^\mu$ in the contra - variant form, have colour charges themselves, and interact through the strong force themselves. And thus, there is a lot of problems with the divergencies, but still, it is renormalisable.

Since everything was renormalisable, strong coupling, weak coupling, and they could make a TOEEG (theory of everything except gravity), called the standard model, they thought the same elegance could be extended to gravity, to general relativity. I mean, the standard model does incorporate special relativity, so why not general?

The most obvious way to do so, was to introduce a gravitational quantum, the graviton. But sadly, it was done in a very naive way. The gravitons themselves contributed to the gravitational field, just like in Quantum Chromodynamics, and whatever it is, the end result diverged. But unlike in Quantum Chromodynamics, for Quantum Gravity, it was non-renormalisable,.

So, a less naive theory of gravitons is required, and such a theory is string theory.

So, thus, it was not about the standard model not sensing a requirement to include gravity, it couldn't. One needs string theory for that; to make everything known to man, and everything that is true, to come out naturally.

There are, of course, other TOQGs (theories of quantum gravity), but the problem is that most of them are lorentz asymmetric (cf. Lubos Motl's criticism to Loop Quantum Gravity), they don't allow for other forces (interactions) other than gravity, they are mathematically inconsistent, etc. Or they just lead to string theory (e.g. supergravity, kaluza - klein theory).

answered Jul 7, 2013 by dimension10 (1,950 points) [ revision history ]

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