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Anisotropic Goldstone bosons of strong-coupling lattice QCD at high density

We calculate the spectrum of excitations in strong-coupling lattice QCD in a background of fixed baryon density, at a substantial fraction of the saturation density. We employ a next-nearest-neighbor fermion formulation that possesses the SU(N_f)xSU(N_f) c

AnisotropicGoldstonebosonsofstrong-couplinglatticeQCDat

highdensity

BarakBringoltzandBenjaminSvetitsky

SchoolofPhysicsandAstronomy,RaymondandBeverlySacklerFacultyofExactSciences,

TelAvivUniversity,69978TelAviv,Israel

Abstract

Wecalculatethespectrumofexcitationsinstrong-couplinglatticeQCDinabackgroundof xedbaryondensity,atasubstantialfractionofthesaturationdensity.Weemployanext-nearest-neighborfermionformulationthatpossessestheSU(Nf)×SU(Nf)chiralsymmetryofthecon-tinuumtheory.We ndtwotypesofmasslessexcitations:typeIGoldstonebosonswithlineardispersionrelationsandtypeIIGoldstonebosonswithquadraticdispersionrelations.SomeofthetypeIbosonsoriginateastypeIIbosonsofthenearest-neighbortheory.Bosonsofeithertypecandevelopanisotropicdispersionrelations,dependingonthevalueofNfandthebaryondensity.PACSnumbers:11.15.Ha,11.15.Me,12.38.Mh

arXiv:hep-lat/0405013v1 17 May 2004

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