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Gluon

From Wikipedia, the free encyclopedia
Elementary particle that mediates the strong force
Gluon
Diagram 1: InFeynman diagrams, emitted gluons are represented as helices. This diagram depicts theannihilation of an electron and positron.
CompositionElementary particle
StatisticsBose–Einstein statistics
FamilyGauge boson
InteractionsStrong interaction
Symbolg
TheorizedMurray Gell-Mann (1962)[1]
Discoverede+e → Υ(9.46) → 3g: 1978 atDORIS (DESY) byPLUTO experiments (see diagram 2 and recollection[2])

and

e+e → qqg: 1979 atPETRA (DESY) byTASSO,MARK-J,JADE andPLUTO experiments (see diagram 1 and review[3])
Types8[4]
Mass0 (theoretical value)[5]
<1.3 MeV/c2 (experimental limit)[6][5]
Electric chargee[5]
Color chargeoctet (8linearly independent types)
Spinħ
Parity−1
Standard Model ofparticle physics
Elementary particles of the Standard Model

Agluon (/ˈɡlɒn/GLOO-on) is a type ofmasslesselementary particle that mediates thestrong interaction betweenquarks, acting as theexchange particle for the interaction. Gluons are masslessvector bosons, thereby having aspin of 1.[7] Through the strong interaction, gluons bind quarks into groups according toquantum chromodynamics (QCD), forminghadrons such asprotons andneutrons.

Gluons carry thecolor charge of the strong interaction, thereby participating in the strong interaction as well as mediating it. Because gluons carry the color charge, QCD is more difficult to analyze compared toquantum electrodynamics (QED) where thephoton carries no electric charge.

The term was coined byMurray Gell-Mann in 1962[a] for being similar to anadhesive or glue that keeps the nucleus together.[9] Together with the quarks, these particles were referred to aspartons byRichard Feynman.[10]

Properties

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The gluon is avector boson, which means it has aspin of 1 ħ. While massive spin-1 particles have three polarization states,massless gauge bosons like the gluon have only two polarization states becausegauge invariance requires the field polarization to be transverse to the direction that the gluon is traveling. Inquantum 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 intrinsicparity.

Counting gluons

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There are eight independent types of gluons in QCD. This is unlike the photon of QED or the threeW and Z bosons of theweak interaction.

Additionally, gluons are subject to thecolor charge phenomena.Quarks carry three types of color charge; antiquarks carry three types of anticolor. Gluons carry both color and anticolor. This gives ninepossible combinations of color and anticolor in gluons. The following is a list of those combinations (and their schematic names):

  • red–antired (rr), red–antigreen (rg), red–antiblue (rb)
  • green–antired (gr), green–antigreen (gg), green–antiblue (gb)
  • blue–antired (br), blue–antigreen (bg), blue–antiblue (bb)
Diagram 2: e+e → Υ(9.46) → 3g

Thesepossible combinations are onlyeffective states, not theactual observed color states of gluons. To understand how they are combined, it is necessary to consider the mathematics of color charge in more detail.

Color singlet states

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The stable strongly interacting particles, including hadrons like the proton or the neutron, are observed to be "colorless". More precisely, they are in a "color singlet" state, and mathematically analogous to aspin singlet state.[11] The states allow interaction with other color singlets, but not other color states; because long-range gluon interactions do not exist, this illustrates that gluons in the singlet state do not exist either.[11]

The color singlet state is:[11]

(rr¯+bb¯+gg¯)/3.{\displaystyle (r{\bar {r}}+b{\bar {b}}+g{\bar {g}})/{\sqrt {3}}.}

If one couldmeasure the color of the state, there would be equal probabilities of it being red–antired, blue–antiblue, or green–antigreen.

Eight color states

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There are eight remaining independent color states corresponding to the "eight types" or "eight colors" of gluons. Since the states can be mixed together, there are multiple ways of presenting these states. These are known as the "color octet", and a commonly used list for each is:[11]

(rb¯+br¯)/2{\displaystyle (r{\bar {b}}+b{\bar {r}})/{\sqrt {2}}}      i(rb¯br¯)/2{\displaystyle -i(r{\bar {b}}-b{\bar {r}})/{\sqrt {2}}}
(rg¯+gr¯)/2{\displaystyle (r{\bar {g}}+g{\bar {r}})/{\sqrt {2}}}i(rg¯gr¯)/2{\displaystyle -i(r{\bar {g}}-g{\bar {r}})/{\sqrt {2}}}
(bg¯+gb¯)/2{\displaystyle (b{\bar {g}}+g{\bar {b}})/{\sqrt {2}}}i(bg¯gb¯)/2{\displaystyle -i(b{\bar {g}}-g{\bar {b}})/{\sqrt {2}}}
(rr¯bb¯)/2{\displaystyle (r{\bar {r}}-b{\bar {b}})/{\sqrt {2}}}(rr¯+bb¯2gg¯)/6{\displaystyle (r{\bar {r}}+b{\bar {b}}-2g{\bar {g}})/{\sqrt {6}}}

These are equivalent to theGell-Mann matrices. The critical feature of these particular eight states is that they arelinearly 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 others. It is also impossible to add them to makerr,gg, orbb[12] the forbiddensinglet state. There are many other possible choices, but all are mathematically equivalent, at least equally complicated, and give the same physical results.

Group theory details

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Formally, QCD is agauge theory withSU(3) gauge symmetry. Quarks are introduced asspinors inNfflavors, each in thefundamental representation (triplet, denoted3) of the color gauge group, SU(3). The gluons are vectors in theadjoint representation (octets, denoted8) of color SU(3). For a generalgauge group, the number of force-carriers, like photons or gluons, is always equal to the dimension of the adjoint representation. For the simple case of SU(n), the dimension of this representation isn2 − 1.

In group theory, there are no color singlet gluons becausequantum chromodynamics has an SU(3) rather than aU(3) symmetry. There is no knowna priori reason for one group to be preferred over the other, but as discussed above, the experimental evidence supports SU(3).[11] If the group were U(3), the ninth (colorless singlet) gluon would behave like a "second photon" and not like the other eight gluons.[13]

Confinement

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Main article:Color confinement

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 areconfined withincomposite particles calledhadrons. This effectively limits the range of the strong interaction to10−15 m, roughly the size of anucleon. 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 thenuclear forces between hadrons. The force mediators for these are other hadrons calledmesons.

Although in thenormal phase of QCD single gluons may not travel freely, it is predicted that there exist hadrons that are formed entirely of gluons — calledglueballs. There are also conjectures about otherexotic hadrons in which real gluons (as opposed tovirtual 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.

Experimental observations

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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] thePLUTO 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 asthree-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[14][15] (see also the recollection[2] andPLUTO experiments).

In summer 1979, at higher energies at the electron-positron colliderPETRA (DESY), again three-jet topologies were observed, now clearly visible and interpreted as qq gluonbremsstrahlung, byTASSO,[16]MARK-J[17] and PLUTO experiments[18] (later in 1980 also byJADE[19]). The spin = 1 property of the gluon was confirmed in 1980 by TASSO[20] and PLUTO experiments[21] (see also the review[3]). In 1991 a subsequent experiment at theLEP storage ring atCERN again confirmed this result.[22]

The gluons play an important role in the elementary strong interactions betweenquarks and gluons, described by QCD and studied particularly at the electron-proton colliderHERA at DESY. The number and momentum distribution of the gluons in theproton (gluon density) have been measured by two experiments,H1 andZEUS,[23] in the years 1996–2007. The gluon contribution to the proton spin has been studied by theHERMES experiment at HERA.[24] The gluon density in the proton (when behaving hadronically) also has been measured.[25]

Color confinement is verified by the failure offree quark searches (searches of fractional charges). Quarks are normally produced in pairs (quark + antiquark) to compensate the quantum color and flavor numbers; however atFermilab single production oftop quarks has been shown.[b][26] Noglueball has been demonstrated.

Deconfinement was claimed in 2000 at CERN SPS[27] inheavy-ion collisions, and it implies a new state of matter:quark–gluon plasma, less interactive than in thenucleus, almost as in a liquid. It was found at theRelativistic Heavy Ion Collider (RHIC) at Brookhaven in the years 2004–2010 by four contemporaneous experiments.[28] A quark–gluon plasma state has been confirmed at theCERN Large Hadron Collider (LHC) by the three experimentsALICE,ATLAS andCMS in 2010.[29]

Jefferson Lab'sContinuous Electron Beam Accelerator Facility, inNewport News, Virginia,[c] 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 newelectron-ion collider.[30] In December 2019, the US Department of Energy selected theBrookhaven National Laboratory to host theelectron-ion collider.[31]

See also

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Footnotes

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  1. ^In an interview, Gell-Mann said that he believes the term was coined byEdward Teller.[8]
  2. ^Technically the singletop quark production atFermilab still involves a pair production, but the quark and antiquark are of different flavors.
  3. ^Jefferson Lab is anickname for theThomas Jefferson National Accelerator Facility inNewport News, Virginia.

References

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  1. ^M. Gell-Mann (1962)."Symmetries of Baryons and Mesons"(PDF).Physical Review.125 (3):1067–1084.Bibcode:1962PhRv..125.1067G.doi:10.1103/PhysRev.125.1067.Archived(PDF) from the original on 2012-10-21.. This is without reference to color, however. For the modern usage seeFritzsch, H.; Gell-Mann, M.; Leutwyler, H. (Nov 1973). "Advantages of the color octet gluon picture".Physics Letters B.47 (4):365–368.Bibcode:1973PhLB...47..365F.CiteSeerX 10.1.1.453.4712.doi:10.1016/0370-2693(73)90625-4.
  2. ^abcB.R. Stella and H.-J. Meyer (2011). "Υ(9.46 GeV) and the gluon discovery (a critical recollection of PLUTO results)".European Physical Journal H.36 (2):203–243.arXiv:1008.1869v3.Bibcode:2011EPJH...36..203S.doi:10.1140/epjh/e2011-10029-3.S2CID 119246507.
  3. ^abP. Söding (2010)."On the discovery of the gluon".European Physical Journal H.35 (1):3–28.Bibcode:2010EPJH...35....3S.doi:10.1140/epjh/e2010-00002-5.S2CID 8289475.
  4. ^"Why are there eight gluons?".
  5. ^abcW.-M. Yao; et al. (Particle Data Group) (2006)."Review of Particle Physics".Journal of Physics G.33 (1): 1.arXiv:astro-ph/0601168.Bibcode:2006JPhG...33....1Y.doi:10.1088/0954-3899/33/1/001.
  6. ^F. Yndurain (1995). "Limits on the mass of the gluon".Physics Letters B.345 (4): 524.Bibcode:1995PhLB..345..524Y.doi:10.1016/0370-2693(94)01677-5.
  7. ^"Gluons".hyperphysics.phy-astr.gsu.edu. Retrieved2023-09-02.
  8. ^Gell-Mann, Murray (1997)."Feynman's parton" (Interview). No. 131. Interviewed by Geoffrey West.
  9. ^Garisto, Daniel (2017-05-30)."A brief etymology of particle physics | symmetry magazine".Symmetry Magazine. Retrieved2024-02-02.
  10. ^Feltesse, Joël (2010)."Introduction to Parton Distribution Functions".Scholarpedia.5 (11) 10160.Bibcode:2010SchpJ...510160F.doi:10.4249/scholarpedia.10160.ISSN 1941-6016.
  11. ^abcdeDavid Griffiths (1987).Introduction to Elementary Particles.John Wiley & Sons. pp. 280–281.ISBN 978-0-471-60386-3.
  12. ^J. Baez."Why are there eight gluons and not nine?".math.ucr.edu. Retrieved2009-09-13.
  13. ^"Why Are There Only 8 Gluons?".Forbes.
  14. ^Berger, Ch.; et al. (PLUTO collaboration) (1979). "Jet analysis of the Υ(9.46) decay into charged hadrons".Physics Letters B.82 (3–4): 449.Bibcode:1979PhLB...82..449B.doi:10.1016/0370-2693(79)90265-X.
  15. ^Berger, Ch.; et al. (PLUTO collaboration) (1981). "Topology of the Υ decay".Zeitschrift für Physik C.8 (2): 101.Bibcode:1981ZPhyC...8..101B.doi:10.1007/BF01547873.S2CID 124931350.
  16. ^Brandelik, R.; et al. (TASSO collaboration) (1979). "Evidence for Planar Events in e+e annihilation at High Energies".Physics Letters B.86 (2):243–249.Bibcode:1979PhLB...86..243B.doi:10.1016/0370-2693(79)90830-X.
  17. ^Barber, D.P.; et al. (MARK-J collaboration) (1979). "Discovery of Three-Jet Events and a Test of Quantum Chromodynamics at PETRA".Physical Review Letters.43 (12): 830.Bibcode:1979PhRvL..43..830B.doi:10.1103/PhysRevLett.43.830.S2CID 13903005.
  18. ^Berger, Ch.; et al. (PLUTO collaboration) (1979). "Evidence for Gluon Bremsstrahlung in e+e Annihilations at High Energies".Physics Letters B.86 (3–4): 418.Bibcode:1979PhLB...86..418B.doi:10.1016/0370-2693(79)90869-4.
  19. ^Bartel, W.; et al. (JADE collaboration) (1980)."Observation of planar three-jet events in ee annihilation and evidence for gluon bremsstrahlung".Physics Letters B.91 (1): 142.Bibcode:1980PhLB...91..142B.doi:10.1016/0370-2693(80)90680-2.
  20. ^Brandelik, R.; et al. (TASSO collaboration) (1980). "Evidence for a spin-1 gluon in three-jet events".Physics Letters B.97 (3–4): 453.Bibcode:1980PhLB...97..453B.doi:10.1016/0370-2693(80)90639-5.
  21. ^Berger, Ch.; et al. (PLUTO collaboration) (1980). "A study of multi-jet events in ee annihilation".Physics Letters B.97 (3–4): 459.Bibcode:1980PhLB...97..459B.doi:10.1016/0370-2693(80)90640-1.
  22. ^Alexander, G.; et al. (OPAL collaboration) (1991)."Measurement of three-jet distributions sensitive to the gluon spin in ee Annihilations at √s = 91 GeV"(PDF).Zeitschrift für Physik C.52 (4): 543.Bibcode:1991ZPhyC..52..543A.doi:10.1007/BF01562326.hdl:2066/124457.S2CID 51746005.
  23. ^Lindeman, L.; et al. (H1 and ZEUS collaborations) (1997). "Proton structure functions and gluon density at HERA".Nuclear Physics B: Proceedings Supplements.64 (1):179–183.Bibcode:1998NuPhS..64..179L.doi:10.1016/S0920-5632(97)01057-8.
  24. ^"The spinning world at DESY".www-hermes.desy.de. Archived fromthe original on 25 May 2021. Retrieved26 March 2018.
  25. ^Adloff, C.; et al. (H1 collaboration) (1999). "Charged particle cross sections in the photoproduction and extraction of the gluon density in the photon".European Physical Journal C.10 (3):363–372.arXiv:hep-ex/9810020.Bibcode:1999EPJC...10..363H.doi:10.1007/s100520050761.S2CID 17420774.
  26. ^Chalmers, M. (6 March 2009)."Top result for Tevatron".Physics World. Retrieved2 April 2012.
  27. ^Abreu, M.C.; et al. (NA50 collaboration) (2000)."Evidence for deconfinement of quark and antiquark from the J/Ψ suppression pattern measured in Pb-Pb collisions at the CERN SpS".Physics Letters B.477 (1–3):28–36.Bibcode:2000PhLB..477...28A.doi:10.1016/S0370-2693(00)00237-9.
  28. ^Overbye, D. (15 February 2010)."In Brookhaven collider, scientists briefly break a law of nature".The New York Times.Archived from the original on 2 January 2022. Retrieved2 April 2012.
  29. ^"LHC experiments bring new insight into primordial universe" (Press release).CERN. 26 November 2010. Retrieved20 November 2016.
  30. ^Nolan, Jim (19 October 2015)."State hopes for big economic bang as Jeff Lab bids for ion collider".Richmond Times-Dispatch. pp. A1, A7. Retrieved19 October 2015.Those clues can give scientists a better understanding of what holds the universe together.
  31. ^"U.S. Department of Energy selects Brookhaven National Laboratory to host major new nuclear physics facility" (Press release).DOE. 9 January 2020. Retrieved1 June 2020.

Further reading

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