<正>AneffectiverelativisticcontinuummassiveProcaLagrangianactionisusedtoaccountfortheLorentzvectorcondensationeffectsontheequationofstateofthestronglyinteractingfermionssystem.TheinteriorquantumfluctuationeffectsareincorporatedasanexternalfieldapproximationindirectlythroughafictivegeneralizedThomsonProblemcountertermbackground.Thegeneralanalyticalformulasforthed-dimensionalthermodynamicsaregivenneartheunitarylimitregion,Inthenon-relativisticlimitford=3,theuniversaldimensionlesscoefficientε=4/9andenergygap△/ε_f=5/18arereasonablyconsistentwiththeexistingtheoreticalandexperimentalresults.Intheunitarylimitford=2andT=0,theuniversalcoefficientcanevenapproachtheextremeoccasionξ=0correspondingtotheinfiniteeffectivefermionmassm~*=∞,whichcanbemappedtothestronglycoupledtwo-dimensionalelectronsandisquitesimilartothethree-dimensionalBose-Einsteincondensationofidealbosongas.Instead,ford=1,theuniversalcoefficientξisnegative,implyingthenon-existenceofphasetransitionfromsuperfluiditytonormalstate.ThesolutionsmanifestthequantumIsinguniversalclasscharacteristicofthestronglycoupledunitaryfermionsgas.
