Volume 43, Number 6, September II 1998
|Page(s)||641 - 647|
|Section||The physics of elementary particles and fields|
|Published online||01 September 2002|
Thermal properties of interacting Bose fields and imaginary-time stochastic differential equations
Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand
2 Sektion Physik, Ludwig-Maximilians Universität München, D-80333 München, Germany
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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