Graviton

Graviton
Composition: Elementary particle
Particle statistics: Bosonic
Group: Gauge boson
Interaction: Gravitation
Status: theoretical
Symbol(s): g, G[1]
Antiparticle: Self
Theorized: 1930s[2]
The name is attributed to Dmitrii Blokhintsev and F.M. Gal'perin in 1934[3]
Discovered: currently hypothetical
Mass: 0
Mean lifetime: Stable
Electric charge: e
Spin: 2

In physics, the graviton is a hypothetical elementary particle that mediates the force of gravitation in the framework of quantum field theory. If it exists, the graviton must be massless (because the gravitational force has unlimited range) and must have a spin of 2. This is because the source of gravitation is the stress-energy tensor, which is a second-rank tensor, compared to electromagnetism, the source of which is the four-current, which is a first-rank tensor. Additionally, it can be shown that any massless spin-2 field would be indistinguishable from gravitation, because a massless spin-2 field must couple to the stress-energy tensor in the same way that the gravitational field does. [4] This result suggests that if a massless spin-2 particle is discovered, it must be the graviton, so that the only experimental verification needed for the graviton may simply be the discovery of a massless spin-2 particle.[5]

Gravitons are postulated because of the great success of quantum field theory (in particular, the Standard Model) at modeling the behavior of all other known forces of nature as being mediated by elementary particles: electromagnetism by the photon, the strong interaction by the gluons, and the weak interaction by the W and Z bosons. The hypothesis is that the gravitational interaction is likewise mediated by a – yet undiscovered – elementary particle, dubbed the graviton, instead of being described in terms of curved spacetime as in general relativity. In the classical limit, both approaches give identical results, which are required to conform to Newton's law of gravitation.[6][7][8]

However, attempts to extend the Standard Model with gravitons have run into serious theoretical difficulties at high energies (processes with energies close to or above the Planck scale) because of infinities arising due to quantum effects (in technical terms, gravitation is nonrenormalizable). On the other hand, the theories of general relativity and quantum mechanics are incompatible at such energies, so from a theoretical point of view the present situation is not tenable.[9] Some proposed models of quantum gravity[10] attempt to address these issues, but these are speculative theories.

Contents

Gravitons and renormalization

When describing graviton interactions, the classical theory (i.e. the tree diagrams) and semiclassical corrections (one-loop diagrams) behave normally, but Feynman diagrams with two (or more) loops lead to ultraviolet divergences; that is, infinite results that cannot be removed because the quantized general relativity is not renormalizable, unlike quantum electrodynamics. In popular terms, the usual ways physicists calculate the probability that a particle will emit or absorb a graviton give nonsensical answers and the theory loses its predictive power. These problems, together with some conceptual puzzles, led many physicists to believe that a theory more complete than just general relativity must regulate the behavior near the Planck scale.

Experimental observation

Unambiguous detection of individual gravitons, though not prohibited by any fundamental law, is impossible with any physically reasonable detector.[11] The reason is the extremely low cross section for the interaction of gravitons with matter. For example, a detector with the mass of Jupiter and 100% efficiency, placed in close orbit around a neutron star, would only be expected to observe one graviton every 10 years, even under the most favorable conditions. It would be impossible to discriminate these events from the background of neutrinos, since the dimensions of the required neutrino shield would ensure collapse into a black hole.[11]

However, experiments to detect gravitational waves, which may be viewed as coherent states of many gravitons, are already underway (e.g. LIGO and VIRGO). Although these experiments cannot detect individual gravitons, they might provide information about certain properties of the graviton. For example, if gravitational waves were observed to propagate slower than c (the speed of light in a vacuum), that would imply that the graviton has mass.[12]

Comparison with other forces

Unlike the force carriers of the other forces, gravitation plays a special role in general relativity in defining the spacetime in which events take place. Because it does not depend on a particular space-time background, general relativity is said to be background independent. In contrast, the Standard Model is not background independent.[13] A theory of quantum gravity is needed in order to reconcile these differences.[14] Whether this theory should be background independent or not is an open question. The answer to this question will determine if gravitation plays a special role in the universe.[15]

Gravitons in speculative theories

String theory predicts the existence of gravitons and their well-defined interactions. A graviton in perturbative string theory is a closed string in a very particular low-energy vibrational state. The scattering of gravitons in string theory can also be computed from the correlation functions in conformal field theory, as dictated by the AdS/CFT correspondence, or from Matrix theory.

An interesting feature of gravitons in string theory is that, as closed strings without endpoints, they would not be bound to branes and could move freely between them. If we live on a brane (as hypothesized by some theorists) this "leakage" of gravitons from the brane into higher-dimensional space could explain why gravitation is such a weak force, and gravitons from other branes adjacent to our own could provide a potential explanation for dark matter. See brane cosmology.

See also

References

  1. G is often used to avoid confusion with gluons (symbol g)
  2. Rovelli, C. (July 2000). "Notes for a brief history of quantum gravity". 9th Marcel Grossmann Meeting in Roma. p. p.5. arXiv:gr-qc/0006061v3. 
  3. Blokhintsev, D.I.; Gal'perin, F.M. (1934). "Gipoteza neitrino i zakon sokhraneniya energii (Neutrino hypothesis and conservation of energy)" (in Russian). Pod Znamenem Marxisma 6: pp.147–157. 
  4. Lightman, Alan P.; William H. Press, Richard H. Price, Saul A. Teukolsky (1975). "Problem 12.16". Problem Book in Relativity and Gravitation. Princeton University Press. ISBN 0-691-08162-X. 
  5. For a comparison of the geometric derivation and the (non-geometric) spin-2 field derivation of general relativity, refer to box 18.1 (and also 17.2.5) of Gravitation by Misner et. al.: Misner, Charles W.; Thorne, Kip. S.; Wheeler, John A. (1973). Gravitation. W. H. Freeman. ISBN 0-7167-0344-0. 
  6. Feynman, R. P.; Morinigo, F. B., Wagner, W. G., & Hatfield, B. (1995). Feynman lectures on gravitation. Addison-Wesley. ISBN 0201627345. 
  7. Zee, A. (2003). Quantum Field Theory in a Nutshell. Princeton University Press. ISBN 0-691-01019-6. 
  8. Randall, Lisa (2005). Warped Passages: Unraveling the Universe's Hidden Dimensions. Ecco. ISBN 0-06-053108-8. 
  9. Alan Sokal (July 22, 1996). "Don't Pull the String Yet on Superstring Theory". The New York Times. http://query.nytimes.com/gst/fullpage.html?res=9D0DE7DB1639F931A15754C0A960958260. Retrieved March 26, 2010. 
  10. Roger Penrose (1975). "The Non-Linear Graviton".
  11. 11.0 11.1 Rothman, Tony; and Stephen Boughn (November 2006). "Can Gravitons be Detected?". Foundations of Physics 36 (12): 1801–1825. doi:10.1007/s10701-006-9081-9. http://arxiv.org/abs/gr-qc/0601043. Retrieved 2007-07-02. 
  12. Will, Clifford M. (February 1998). "Bounding the mass of the graviton using gravitational-wave observations of inspiralling compact binaries". Physical Review D 57 (4): 2061–2068. doi:10.1103/PhysRevD.57.2061. http://link.aps.org/abstract/PRD/v57/p2061. Retrieved 2007-07-02. 
  13. C. Rovelli et al., Background independence in a nutshell, Class.Quant.Grav. 22 (2005) 2971-2990, gr-qc/0408079
  14. Edward Witten, Quantum Background Independence In String Theory, hep-th/9306122
  15. L. Smolin, The case for background independence, hep-th/0507235