Zero temperature correlation functions for the impenetrable fermion gas

Abstract

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 $T\to 0$ 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.

42 pages, 12 figures

References in corpus (5)

• Quantum Inverse Scattering Method and Correlation Functions
• Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
• Temperature correlators in the two-component one-dimensional gas
• Time and temperature dependent correlation functions of the 1D impenetrable electron gas
• Correlations in the impenetrable electron gas

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