Issue |
Europhys. Lett.
Volume 43, Number 6, September II 1998
|
|
---|---|---|
Page(s) | 641 - 647 | |
Section | The physics of elementary particles and fields | |
DOI | https://doi.org/10.1209/epl/i1998-00411-9 | |
Published online | 01 September 2002 |
Thermal properties of interacting Bose fields and imaginary-time stochastic differential equations
1
Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand
2
Sektion Physik, Ludwig-Maximilians Universität München, D-80333 München, Germany
Received:
9
April
1998
Accepted:
20
July
1998
Matsubara Green's functions for interacting bosons are expressed as classical statistical averages corresponding to a linear imaginary-time stochastic differential equation. This makes direct numerical simulations applicable to the study of equilibrium quantum properties of bosons in the non-perturbative regime. To verify our results we discuss an oscillator with quartic anharmonicity as a prototype model for an interacting Bose gas. An analytic expression for the characteristic function in a thermal state is derived and a Higgs-type phase transition discussed, which occurs when the oscillator frequency becomes negative.
PACS: 11.10.Wx – Finite-temperature field theory / 02.70.Lq – Monte Carlo and statistical methods / 05.30.Jp – Boson systems
© EDP Sciences, 1998
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