Finite Temperature Quantum Field Theory with Impurities
نویسندگان
چکیده
We apply the concept of reflection-transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space-time dimensions, to the study of finite temperature quantum field theory with impurities in higher dimensions. We consider a scalar field in (s + 1) + 1 space-time dimensions, interacting with impurities localized on s-dimensional hyperplanes, but without self-interaction. We discuss first the case s = 0 and extend afterwards all results to s > 0. Constructing the Gibbs state over an appropriate RT algebra, we derive the energy density at finite temperature and establish the correction to the Stefan-Boltzmann law generated by the impurity. The contribution of the impurity bound states is taken into account. The charge density profiles for various impurities are also investigated. IFUP-TH 21/2004 LAPTH-1045/04 hep-th/0405264 [email protected] [email protected]
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