Thermo Field Dynamics and quantum algebras

The algebraic structure of Thermo Field Dynamics lies in the $q$-deformation of the algebra of creation and annihilation operators. Doubling of the degrees of freedom, tilde-conjugation rules, and Bogoliubov transformation for bosons and fermions are recog

ThermoFieldDynamicsandquantum

algebras

arXiv:hep-th/9801031v1 7 Jan 1998E.Celeghini ,S.DeMartino ,S.DeSiena ,A.Iorio ,M.Rasetti+andG.Vitiello DipartimentodiFisica,Universit`adiFirenze,andINFN-Firenze,I-50125Firenze,Italy DipartimentodiFisica,Universit`adiSalerno,andINFN-Salerno,I-84100Salerno,Italy +SchoolofMathematics,TrinityCollege,Dublin,IrelandDipartimentodiFisicaandUnit`aINFM,PolitecnicodiTorino,I-10129Torino,Italy

Abstract

ThealgebraicstructureofThermoFieldDynamicsliesintheq-deformationofthealgebraofcreationandannihilationoperators.Doublingofthedegreesoffreedom,tilde-conjugationrules,andBogoliubovtransformationforbosonsandfermionsarerecognizedasalgebraicpropertiesofhq(1)andofhq(1|1),respectively.PACS:03.70.+k,03.65.F,11.10.-z