Gluon

The gluon is a vector boson, which means it has a spin of 1. While massive spin-1 particles have three polarization states, massless gauge bosons like the gluon have only two polarization states because gauge invariance requires the polarization to be transverse to the direction that the gluon is traveling. In quantum field theory, unbroken gauge invariance requires that gauge bosons have zero mass. Experiments limit the gluon's rest mass (if any) to less than a few MeV/c². The gluon has negative intrinsic parity.

Unlike the photon of QED or the three W and Z bosons of the weak interaction, there are eight independent types of gluons in QCD.

However, gluons are subject to the color charge phenomena (of which they have combinations of color and anticolor). Quarks carry three types of color charge; antiquarks carry three types of anticolor. Gluons may be thought of as carrying both color and anticolor. This gives nine possible combinations of color and anticolor in gluons. The following is a list of those combinations (and their schematic names):

• red–antired (${\displaystyle r{\bar {r}}}$), red–antigreen (${\displaystyle r{\bar {g}}}$), red–antiblue (${\displaystyle r{\bar {b}}}$)
• green–antired (${\displaystyle g{\bar {r}}}$), green–antigreen (${\displaystyle g{\bar {g}}}$), green–antiblue (${\displaystyle g{\bar {b}}}$)
• blue–antired (${\displaystyle b{\bar {r}}}$), blue–antigreen (${\displaystyle b{\bar {g}}}$), blue–antiblue (${\displaystyle b{\bar {b}}}$)

Diagram 2: e⁺e⁻ → Υ(9.46) → 3g

These are not the actual color states of observed gluons, but rather effective states. To correctly understand how they are combined, it is necessary to consider the mathematics of color charge in more detail.

Eight color states

There are eight remaining independent color states, which correspond to the "eight types" or "eight colors" of gluons. Because states can be mixed together as discussed above, there are many ways of presenting these states, which are known as the "color octet". One commonly used list is:[8]

${\displaystyle (r{\bar {b}}+b{\bar {r}})/{\sqrt {2}}}$		${\displaystyle -i(r{\bar {b}}-b{\bar {r}})/{\sqrt {2}}}$
${\displaystyle (r{\bar {g}}+g{\bar {r}})/{\sqrt {2}}}$		${\displaystyle -i(r{\bar {g}}-g{\bar {r}})/{\sqrt {2}}}$
${\displaystyle (b{\bar {g}}+g{\bar {b}})/{\sqrt {2}}}$		${\displaystyle -i(b{\bar {g}}-g{\bar {b}})/{\sqrt {2}}}$
${\displaystyle (r{\bar {r}}-b{\bar {b}})/{\sqrt {2}}}$		${\displaystyle (r{\bar {r}}+b{\bar {b}}-2g{\bar {g}})/{\sqrt {6}}.}$

These are equivalent to the Gell-Mann matrices. The critical feature of these particular eight states is that they are linearly independent, and also independent of the singlet state, hence 3² − 1 or 2³. There is no way to add any combination of these states to produce any other, and it is also impossible to add them to make rr, gg, or bb[9] the forbidden singlet state. There are many other possible choices, but all are mathematically equivalent, at least equally complicated, and give the same physical results.

Since gluons themselves carry color charge, they participate in strong interactions. These gluon–gluon interactions constrain color fields to string-like objects called "flux tubes", which exert constant force when stretched. Due to this force, quarks are confined within composite particles called hadrons. This effectively limits the range of the strong interaction to 1×10⁻¹⁵ meters, roughly the size of a nucleon. Beyond a certain distance, the energy of the flux tube binding two quarks increases linearly. At a large enough distance, it becomes energetically more favorable to pull a quark–antiquark pair out of the vacuum rather than increase the length of the flux tube.

One consequence of the hadron-confinement property of gluons is that they are not directly involved in the nuclear forces between hadrons. The force mediators for these are other hadrons called mesons.

Although in the normal phase of QCD single gluons may not travel freely, it is predicted that there exist hadrons that are formed entirely of gluons — called glueballs. There are also conjectures about other exotic hadrons in which real gluons (as opposed to virtual ones found in ordinary hadrons) would be primary constituents. Beyond the normal phase of QCD (at extreme temperatures and pressures), quark–gluon plasma forms. In such a plasma there are no hadrons; quarks and gluons become free particles.

Quarks and gluons (colored) manifest themselves by fragmenting into more quarks and gluons, which in turn hadronize into normal (colorless) particles, correlated in jets. As revealed in 1978 summer conferences,[2] the PLUTO detector at the electron-positron collider DORIS (DESY) produced the first evidence that the hadronic decays of the very narrow resonance Υ(9.46) could be interpreted as three-jet event topologies produced by three gluons. Later, published analyses by the same experiment confirmed this interpretation and also the spin = 1 nature of the gluon[11][12] (see also the recollection[2] and PLUTO experiments).

In summer 1979, at higher energies at the electron-positron collider PETRA (DESY), again three-jet topologies were observed, now interpreted as qq gluon bremsstrahlung, now clearly visible, by TASSO,[13] MARK-J[14] and PLUTO experiments[15] (later in 1980 also by JADE[16]). The spin = 1 property of the gluon was confirmed in 1980 by TASSO[17] and PLUTO experiments[18] (see also the review[3]). In 1991 a subsequent experiment at the LEP storage ring at CERN again confirmed this result.[19]

The gluons play an important role in the elementary strong interactions between quarks and gluons, described by QCD and studied particularly at the electron-proton collider HERA at DESY. The number and momentum distribution of the gluons in the proton (gluon density) have been measured by two experiments, H1 and ZEUS,[20] in the years 1996–2007. The gluon contribution to the proton spin has been studied by the HERMES experiment at HERA.[21] The gluon density in the proton (when behaving hadronically) also has been measured.[22]

Color confinement is verified by the failure of free quark searches (searches of fractional charges). Quarks are normally produced in pairs (quark + antiquark) to compensate the quantum color and flavor numbers; however at Fermilab single production of top quarks has been shown.[lower-alpha 1][23] No glueball has been demonstrated.

Deconfinement was claimed in 2000 at CERN SPS[24] in heavy-ion collisions, and it implies a new state of matter: quark–gluon plasma, less interactive than in the nucleus, almost as in a liquid. It was found at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven in the years 2004–2010 by four contemporaneous experiments.[25] A quark–gluon plasma state has been confirmed at the CERN Large Hadron Collider (LHC) by the three experiments ALICE, ATLAS and CMS in 2010.[26]

Jefferson Lab's Continuous Electron Beam Accelerator Facility, in Newport News, Virginia,[lower-alpha 2] is one of 10 Department of Energy facilities doing research on gluons. The Virginia lab was competing with another facility – Brookhaven National Laboratory, on Long Island, New York – for funds to build a new electron-ion collider.[27] In December 2019 the US Department of Energy selected the Brookhaven National Laboratory to host the electron-ion collider.[28]

Wikimedia Commons has media related to Gluons.

• A. Ali and G. Kramer (2011). "JETS and QCD: A historical review of the discovery of the quark and gluon jets and its impact on QCD". European Physical Journal H. 36 (2): 245–326. arXiv:1012.2288. Bibcode:2011EPJH...36..245A. doi:10.1140/epjh/e2011-10047-1. S2CID 54062126.

• Cambridge Handout 8 : Quantum Chromodynamics – Particle Physics

• Big Think website, clear explanation of the QCD Octet