 98349 F. G\"ohmann, A.G. Izergin, V.E. Korepin, A.G. Pronko
 Time and temperature dependent correlation functions of the
1D impenetrable electron gas
(67K, Latex)
May 15, 98

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Abstract. We consider the onedimensional deltainteracting electron gas in the
case of infinite repulsion. We use determinant representations to
study the long time, large distance asymptotics of correlation
functions of local fields in the gas phase. We derive differential
equations which drive the correlation functions. Using a related
RiemannHilbert problem we obtain formulae for the asymptotics of the
correlation functions, which are valid at all finite temperatures.
At low temperatures these formulae lead to explicit asymptotic
expressions for the correlation functions, which describe power law
behavior and exponential decay as functions of temperature, magnetic
field and chemical potential.
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