Quark Pair Production in the Chiral Phase Transition(4)

Tosummarize,theoccurrenceofarapidchiralrestorationofthevacuumcanleadtosomeparticularnewandinterestingphenomenainveryenergeticrelativisticheavyioncollisions.Inthisletterweinvestigatedthepairproductionofquarkswithinasimplemodelillustratingsuchadynamicaltransition.Thepresenceofrealgluonsassisttheoverallproduction:Duringthechangeofthevacuumstructurethedirectdecayofagluonintoaquarkandantiquarkpairiskinematicallyallowed.Accordingtoour ndingindeedasigni cantamountofquarksareproducedduringthisprocess.Suchaphenomenoncouldgiverisetoanonperturbativedynamicalcreationofquarksandantiquarks(aswellas

The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

entropy)intheveryearlystagesoftheheavyionreaction.Itistemptingtospeculatethatthetotalnumberofproducedquarksduringsuchatransitionandduringthefurtherevolutionsu cessothatnotonlythegluonicdegreesoffreedomaresaturated,butalsothefermionic.The‘hotglue’scenariocouldturnouttobeahot‘quarkgluonplasma’afterall.

ACKNOWLEDGMENTS

TheauthorwantstothanktheAlexandervonHumboldtStiftungforitssupportwithaFeodorLynenscholarship.ThisworkwasalsosupportedinpartbytheU.S.DepartmentofEnergy(grantDE-FG05-90ER40592).TheauthoristhankfulforthevariousandstimulatingdiscussionswithProf.B.M¨uller.DiscussionswithA.Sch¨aferandS.Mrowczynskiareappreciated.

The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

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The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

FIGURES

FIG.1.Thespontaneousproductionofquarksisshownformc=350MeV,mb 0MeV(a)andformc=550MeV,mb=150MeV(b).Toguidetheeyeathermaldistributionofmasslessquarksisalsodrawn(foratemperatureofT=200MeV(c)andT=300MeV(d)).

FIG.2.Theproductionofquarksisshownfora‘smooth’transitionintimeofthevacuum(comparetext).Theparametersgiveninthe gurearetobereadfromthelefttotheright.mc=350MeVandmbistakentobenearlyzero.

FIG.3.The rstordercorrectionsontheparticledistributionduetothepresenceofrealgluonsaredepicted.Thegluonsaretakentobedistributedwithatemperatureof700MeV.(a)correspondstotheparametersetmc=350MeV,mb=10MeV,(b)tothesameasin g.1.Foracomparisonathermaldistributionofmasslessquarkswithatemperatureof700MeVisalsodrawn(c).

The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

This figure "fig1-1.png" is available in "png" format from:/ps/hep-ph/9406261v1

The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

This figure "fig1-2.png" is available in "png" format from:/ps/hep-ph/9406261v1

The production of quarks and antiquarks during a sudden restoration of chiral symmetry, as it might occur in very energetic heavy ion collisions, is considered. If gluons are already present they can assist additively to the overall production: real gluons

This figure "fig1-3.png" is available in "png" format from:/ps/hep-ph/9406261v1

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