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We propose a path-integral variant of the DMRG method to calculate real-timecorrelation functions at arbitrary finite temperatures. To illustrate themethod we study the longitudinal autocorrelation function of the $XXZ$-chain.By comparison with exact results at the free fermion point we show that ourmethod yields accurate results up to a limiting time which is determined by thespectrum of the reduced density matrix.Comment: 5 pages, 4 figure

Real-time dynamics at finite temperature by the density-matrix renormalization group: A path-integral approach