Calculation of the asymptotics of the two-point correlation function for one-dimensional Bose gas |
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Authors: | N M Bogoliubov C Malyshev |
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Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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Abstract: | We consider a quantum field-theoretical model which describes spatially-nonhomogeneous, one-dimensional, repulsive Bose gas
in an external harmonic potential. The two-point correlation function is calculated in the framework of functional integration.
The corresponding functional integrals are estimated by means of stationary phase approximation. Asymptotic estimates are
obtained in the limit as the temperature tends to zero while the volume occupied by the quasi-condensate increases. A power-law
behavior is established for the correlation function in this limit. It is shown that the power-law behavior is governed by
the critical exponent depending on spatial arguments. Bibliography 32 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 347, 2007, pp. 56–74. |
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