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Gravitons in Loop Quantum Gravity 
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#1
Feb2812, 07:11 PM

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How do you understand about Gravitons in Loop Quantum Gravity? All I know about it is from what I heard that "LQG hopes that its predictions for experiments occuring far below the Planck scale will be almost identical to that of gravitons on flat spacetime".
So do you consider it a pure graviton at all or some kind of pseudograviton (in LQG)? I just found a paper about gravitons in LQG but may not understand it 100% http://arxiv.org/pdf/grqc/0604044v2.pdf Do you think it's correct? Please share other papers about gravitons in LQG if there is. Thanks. 


#2
Feb2812, 07:42 PM

P: 381

For example someday the LHC were able to detect gravitons. Can we tell whether it is a String graviton or the pseudograviton of Loop Quantum Gravity? What are the differences? Maybe the latter involves some kind of geometric based graviton or something?



#3
Feb2812, 07:45 PM

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Here's a more recent paper that references the one in the OP.
http://arxiv.org/abs/1105.0566 Euclidean threepoint function in loop and perturbative gravity Carlo Rovelli, Mingyi Zhang "In particular, the lowenergy limit of the twopoint function (the “graviton propagator”) obtained in this way from the improvedBarrettCrane spin foam dynamics [7–12] (sometime denoted the EPRL/FK model) correctly matches the graviton propagator of pure gravity in a transverse radial gauge (harmonic gauge) [13, 14]. .......... The obvious next step is to compute the threepoint function. In this paper we begin the threepoint function analysis. We compute the threepoint function from the nonperturbative theory." BTW, Rovelli and Zhang's calculations are based on a different spin foam proposal from that used in Bianchi et al's paper referenced in the OP. Bianchi et al base their calculations on the BarrettCrane proposal, which is now thought to be wrong, because it did not match the graviton propagator. The Rovelli and Zhang paper is based on the EPRL/FK/KKL proposal which is reviewed in Rovelli's Zakopane lectures. 


#4
Feb2812, 08:16 PM

P: 381

Gravitons in Loop Quantum Gravity
What's odd in the two papers above is they mentioned about "Graviton propagator" instead of just "Graviton". Why is that. In your own understanding, why do they call it "Graviton Propagator"? Why "Propagator"?



#5
Feb2812, 08:20 PM

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#6
Feb2812, 08:42 PM

Astronomy
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PF Gold
P: 23,083

http://arxiv.org/abs/0905.4082
LQG propagator from the new spin foams Eugenio Bianchi, Elena Magliaro, Claudio Perini (Submitted on 25 May 2009) We compute metric correlations in loop quantum gravity with the dynamics defined by the new spin foam models. The analysis is done at the lowest order in a vertex expansion and at the leading order in a large spin expansion. The result is compared to the graviton propagator of perturbative quantum gravity. Comments: 28 pages http://arxiv.org/abs/1109.6538 Lorentzian spinfoam propagator Eugenio Bianchi, You Ding (Submitted on 29 Sep 2011) The twopoint correlation function is calculated in the Lorentzian EPRL spinfoam model, and shown to match with the one in Regge calculus in a proper limit: large boundary spins, and small BarberoImmirzi parameter, keeping the size of the quantum geometry finite and fixed. Compared to the Euclidean case, the definition of a Lorentzian boundary state involves a new feature: the notion of past and futurepointing intertwiners. The semiclassical correlation function is obtained for a timeoriented semiclassical boundary state. Comments: 13 pages excerpt: In this limit, the twopoint function we obtain exactly matches the one obtained from Lorentzian Regge calculus [38]. We therefore extend to Lorentzian signature the results of [13].[13] E. Bianchi, E. Magliaro, and C. Perini, Nucl. Phys. B822, 245 (2009), arXiv:0905.4082 [grqc]. So Bianchi Ding is a sequel to Bianchi Magilaro Perini. It completes that initiative by doing the earlier analysis in the Lorentzian setting 


#7
Feb2912, 06:23 AM

P: 381

About LQG vs String Theory. Let me share an answer to a question I asked 2 weeks ago. I was asking if loop quantum gravity was also about spin2 on flat spacetime. The answer is no, because LQG starts from curved spacetime and is simply a canonical quantization thing and the curvature is primary. While String Theory is actually spin2 on flat spacetime with the spacetime curvature as secondary effect. Although one can say LQG can be modelled as spin2 on flat spacetime by taking the GR part in LQG and doing it. But for full fledged LQG. It has spacetime curvature a priori and there is no flat spacetime underneath it. I think everybody agrees now and I assume there are no objections from anyone.



#8
Feb2912, 10:16 AM

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#9
Feb2912, 01:37 PM

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In string theory and in most treatments of QFTs one starts with quantized excitations on top of a classically fixed background. The excitations are the quanta of the associated fields (photons, gravitons, ...). This approach has some limitations and LQG tries to get rid of them.
LQG never introduces a background and excitations living on this background, so LQG does not use gravitons as building blocks. Instead one expects that one may recover a kind of semiclassical limit or weak field limit where something like "gravitons" will show up again. So in contrast to any other QFT where the "...ons" are the fundamental (mathematical and physical) entities in LQG the gravitons are not fundamental but only to be considered in a certain limited approximation. 


#10
Feb2912, 02:16 PM

Astronomy
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PF Gold
P: 23,083

Just to amplify, unnecessarily I think, any approach which starts with a classical fixed geometry and lays quantized excitations on top of it is called "perturbative". The primary aim of LQG, and so to speak its "claim to fame", is to strive for a "nonperturbative" quantum geometry. In the loop approach there is no mathematical "thing" representing space or space time. There are only relationships among measurements. These are the quantum states of geometry (a state is a web of interrelated geometric measurements). It's a minimalist approach, in a sense, and makes for challenging mathematical problems. 


#11
Feb2912, 02:24 PM

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thanks!



#12
Feb2912, 04:41 PM

P: 407

g_mn = eta_mn+ delta_mn Essentially these delta describe gravitational waves whose quanta are gravitons. Other, curved backgrounds g_mn are equally possible, like eg. black holes, and one can expand around them analogously. In LQG the “expansion point” is more like g_mn=0, so no spacetime is there. In order to recover GR as we know it, one needs to specify a backgound around which one wants to expand, essentially by putting some nonzero g_mn in by hand. Only then one can try to see what a graviton propagator etc looks like, namely by expanding around this adhoc background. It is (for me) an open question what the admissible choices are, certainly flat space should be an allowed possibility. AFAIK is has not yet been proven that flat space is a solution to LQG at all. As often said, showing that that graviton propagator comes out right it is a necessary, but by no means a sufficient condition, as the 2point function just captures the free theory. Some ppl seem to claim the LQG ought to be background independent and thus be able to “dynamically decide itself” what the backgound is supposed to be; but how can this ever be possible without additional input. Namely in particular our whole universe should be an allowed solution, including the gravitational fields of us sitting in front of our computers, residing on earth orbiting the sun; etc. Roughly the whole solution space of GR (plus whatever is necessary to make the theory quantum mechanically consistent) must be allowed vacua of any theory of gravity incl LQG. The theory can’t know by itself what solution to choose, so it must be told by specifying boundary conditions or a boundary state in LQG. So roughly the necessary, fixed choice of g_mn in string theory is replaced in LQG by a choice of boundary conditions that induce the desired background g_mn in the lowenergy limit. But what are then the rules that determine or constrain the admissible boundary conditions? This is the landscape “problem” in disguise, since one has to specfify as extra data what semiclassical long distance limit g_mn one wants to talk about. This landscape “problem” is actually not a problem and never was. The multitude of possible solutions must be a property of any theory of gravity. So the question is what LQG can possibly add here. One thing LQG might be able to do in principle at some point (and which is not possible in the standard worldsheet formulation of string theory), is to compute transition amplitudes between certain such boundary conditions. However, not all boundary conditions, or spacetimes g_mn seem to be allowed, which restricts the usefulness of this kind of ideas. See the review by Rozali on background independence for further details. 


#13
Feb2912, 04:58 PM

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#14
Feb2912, 05:34 PM

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#15
Feb2912, 06:08 PM

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#16
Feb2912, 06:20 PM

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#17
Feb2912, 06:25 PM

P: 381

http://www.amazon.com/HolographicUn...0561401&sr=81 It's bizarre but this seems to be what our quantum gravity programme is pointing to... because if we can find the right version of AsD/CFT, it would be "The Holographic Universe" as described Talbot. 


#18
Feb2912, 06:44 PM

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