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Zero temperature correlation functions for the impenetrable fermion gas

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JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 37, 期 6, 页码 2261-2297

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IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/37/6/021

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We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1 + 1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the limit T --> 0 is taken at a positive chemical potential. The asymptotic expressions are found from the, asymptotic solution of the matrix Riemann-Hilbert problem related to the determinant representation of the correlation functions.

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