Graviton

Theory

It is hypothesized that an undiscovered elementary particle mediates gravitational interactions, dubbed the graviton. The three other known forces of nature are mediated by elementary particles: electromagnetism by the photon, the strong interaction by gluons, and the weak interaction by the W and Z bosons. All three forces appear to be accurately described by the Standard Model of particle physics. In the classical limit, a successful theory of gravitons would reduce to general relativity, which itself reduces to Newton's law of gravitation in the weak-field limit. |url-access=registration |url-access=registration

History

Albert Einstein discussed quantized gravitational radiation in 1916, the year following his publication of general relativity. The term graviton was coined in 1934 by Soviet physicists Dmitry Blokhintsev and . Paul Dirac reintroduced the term in a number of lectures in 1959, noting that the energy of the gravitational field should come in quanta. A mediation of the gravitational interaction by particles was anticipated by Pierre-Simon Laplace. Just like Newton's anticipation of photons, Laplace's anticipated "gravitons" had a greater speed than the speed of light in vacuum c, the speed of gravitons expected in modern theories, and were not connected to quantum mechanics or special relativity, as he predated these theories by a century.

Gravitons and renormalization

When describing graviton interactions, the classical theory of Feynman diagrams and semiclassical corrections such as one-loop diagrams behave normally. However, Feynman diagrams with at least two loops lead to ultraviolet divergences. These infinite results cannot be removed because quantized general relativity is not perturbatively renormalizable, unlike quantum electrodynamics and models such as the Yang–Mills theory. Therefore, incalculable answers are found from the perturbation method by which physicists calculate the probability of a particle to emit or absorb gravitons, and the theory loses predictive veracity. Those problems and the complementary approximation framework are grounds to show that a theory more unified than quantized general relativity is required to describe the behavior near the Planck scale.

Energy and wavelength

While gravitons are presumed to be massless, they would still carry energy, as does any other quantum particle. Photon energy and gluon energy are also carried by massless particles.

Alternatively, if gravitons are massive at all, the analysis of gravitational waves yielded a new upper bound on the mass of gravitons. The graviton's Compton wavelength is at least , or about 1.6 light-years, corresponding to a graviton mass of no more than . This relation between wavelength and mass-energy is calculated with the Planck–Einstein relation, the same formula that relates electromagnetic wavelength to photon energy.

Experimental observation

Unambiguous detection of individual gravitons, though not prohibited by any fundamental law, has been thought impossible with any physically reasonable detector.

LIGO and Virgo collaborations' observations have directly detected gravitational waves. 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 vacuum), that would imply that the graviton has mass (however, gravitational waves must propagate slower than c in a region with non-zero mass density if they are to be detectable). |archive-url=https://web.archive.org/web/20180724135835/https://cds.cern.ch/record/333219/files/9709011.pdf |archive-date=2018-07-24 |url-status=live

Solar system planetary trajectory measurements by space missions such as Cassini and MESSENGER give a comparable upper bound of . The gravitational wave and planetary ephemeris need not agree: they test different aspects of a potential graviton-based theory.

Astronomical observations of the kinematics of galaxies, especially the galaxy rotation problem and modified Newtonian dynamics, might point toward gravitons having non-zero mass.

Difficulties and outstanding issues

Most theories containing gravitons suffer from severe problems. Attempts to extend the Standard Model or other quantum field theories by adding gravitons run into severe theoretical difficulties at energies close to or above the Planck scale. Infinities arise due to quantum effects; technically, gravitation is not renormalizable. Since classical general relativity and quantum mechanics seem incompatible at such energies, this situation is not tenable from a theoretical point of view.

One possible solution is to replace particles with strings. String are one-dimensional loops that avoid divergences by smearing out the gravitational interactions. A particle identified with the graviton appears in string theory with long-distant interactions described by general relativity. Unfortunately models based on strings have only been worked out for a few weakly interacting strings.

References

References

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